| 2023-06-19 | If \( \left|x^{2}-12 x+32\right|+\left|x^{2}-9 x+20\right|=0 \). Then find the value of \( \math... | 3:31 | 2 | |
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| 2023-06-19 | If the function \( \operatorname{sgn}\left(x^{2}-9 x+20\right)=1 \), then what will be the value... | 2:21 | 1 | |
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| 2023-06-19 | If function \( \operatorname{sgn}(\ln (\sin x))=0 \), then find the value of \( x \).
(a) \( \fr... | 1:59 | 6 | |
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| 2023-06-19 | The function \( \mathrm{f} \) is defined by \( f(x)=\left\{\begin{array}{l}x^{2}, 0 \leq x \leq ... | 3:57 | 2 | |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(x) \) with domain \( [0,2] \) and ran... | 5:12 | 3 | Show |
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| 2023-06-19 | If \( f(x)=\frac{2 x}{1+x^{2}} \), show that \( f(\tan \theta)=\sin 2 \theta \). | 1:51 | 1 | Show |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(x) \) with domain \( [0,2] \) and ran... | 5:10 | 15 | Show |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(x) \) with domain \( [0,2] \) and ran... | 7:12 | 1 | Show |
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| 2023-06-19 | Domain of definition of the function \( f(x)= \) \( =\frac{3}{4-x^{2}}+\log _{10}\left(x^{3}-x\r... | 5:02 | 9 | Vlog |
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| 2023-06-19 | If \( y=f(x)=\frac{a x-b}{b x-a} \), show that \( x=f(y) \). | 3:43 | 4 | Show |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(x) \) with domain \( [0,2] \) and ran... | 5:28 | 8 | Show |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(x) \) with domain \( [0,2] \) and ran... | 4:53 | 6 | Show |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(x) \) with domain \( [0,2] \) and ran... | 5:07 | 12 | Show |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(t) \) with domain \( [-4,0] \) and ra... | 10:51 | 4 | Show |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(x) \) with domain \( [0,2] \) and ran... | 5:25 | 4 | Show |
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| 2023-06-19 | Let \( A=\left\{(x, y): x \in R, y \in R, x^{3}+y^{3}=1\right], B=\{(x, y): x \in R \), \( y \in... | 7:18 | 4 | |
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| 2023-06-19 | The accompanying figure shows the graph of a function \( f(x) \) with domain \( [0,2] \) and ran... | 3:45 | 10 | Show |
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| 2023-06-19 | Find a formula for each function graphed in Exercises | 5:08 | 0 | |
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| 2023-06-19 | Find a formula for each function graphed in Exercises | 5:05 | 0 | |
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| 2023-06-19 | Find a formula for each function graphed in Exercises | 6:33 | 1 | |
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| 2023-06-19 | Find a formula for each function graphed in Exercises | 4:39 | 4 | |
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| 2023-06-19 | Solve for \( x \) :
(i) \( [x]=3 \)
(ii) \( [3-2 x]=-4 \)
(iii) \( [x] \geq 2 \)
(iv) \( [2 x-3]... | 9:11 | 7 | |
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| 2023-06-19 | Find a formula for each function graphed in Exercises | 4:34 | 0 | |
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| 2023-06-19 | Find a formula for each function graphed in Exercises | 5:52 | 7 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=2 x^{2}+x+1 ; 1 \leq x \leq 5 \] | 3:47 | 4 | |
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| 2023-06-19 | Find a formula for each function graphed in Exercises | 3:37 | 2 | |
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| 2023-06-19 | Find a formula for each function graphed in Exercises | 3:46 | 2 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=\frac{2 x^{2}+3 x+1}{x^{2}+x+1} \] | 9:23 | 22 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=\frac{x^{2}-5}{2 x^{2}+3} \] | 6:35 | 4 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=\frac{(x-1)(x-3)}{(x-2)(x-4)} \] | 8:10 | 5 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=x^{2}+x+1 ; x \geq 0 \] | 2:45 | 1 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=\frac{(x-1)(x-2)}{(x-3)(x-4)} \] | 9:19 | 16 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=\frac{(x-1)(x-2)}{(x-3)} \] | 8:28 | 8 | |
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| 2023-06-19 | Find range of trigonometric functions:
(i) \( y=\cos ^{4} \frac{x}{2}-\sin ^{4} \frac{x}{2} \).
... | 9:31 | 0 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=(x-1)(x-2) \] | 4:50 | 12 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=\frac{(x-1)}{x^{2}+x+1} \] | 7:40 | 10 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=x^{2}+2 x+7 \] | 2:45 | 2 | |
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| 2023-06-19 | \[
R=\{(x, y): y=|x-1|+|x|+|x+1|,-2 \leq x \leq 2\}
\]
By drawing a graph between \( x \) and \(... | 10:39 | 8 | |
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| 2023-06-19 | Solve the inequality \( 2|x-a||2 x+a| \) where a is a constnat and \( a0 \). | 5:47 | 5 | |
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| 2023-06-19 | For each of the following graphs, state the domain and range: (i) (ii) (iii) (iv) | 6:22 | 6 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=2 x^{2}+3 x+5 \] | 4:24 | 6 | |
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| 2023-06-19 | Find the range of the algebraic functions: \[ f(x)=x^{2}+x+1 \] | 3:19 | 24 | |
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| 2023-06-19 | If \( f, g, h \) are real functions defined by \( f(x)=\sqrt{x+1}, g(x)=\frac{1}{x} \) and \( \m... | 6:25 | 2 | |
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| 2023-06-19 | If \( 2 f(x)-3 f\left(\frac{1}{x}\right)=x^{2}(x \neq 0) \). then \( f(2) \) is equals to | 3:59 | 5 | |
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| 2023-06-19 | Write the domain and range of \( f(x)=\sqrt{x-[x]} \) (where \( [\cdot] \) represents greatest i... | 4:05 | 24 | |
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| 2023-06-19 | Let \( f \) and \( g \) be two functions given by
\[
f=\{(2,4),(5,6),(8-1),(10,-3) \text { and }... | 3:32 | 0 | |
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| 2023-06-19 | Let \( f(x)=\frac{\alpha x}{x+1}, x \neq-1 \). Then write the value of \( \alpha \) satisfying \... | 5:26 | 1 | Let's Play |
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| 2023-06-19 | Solve for \( x: x+\sqrt{x} \geq \sqrt{x}-3 \) | 1:29 | 13 | |
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| 2023-06-19 | If \( f, g, h \) are real functions given by \( f(x)=x^{2}, g(x)=\tan x \) and \( h(x)=\log _{e}... | 2:18 | 0 | Vlog |
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| 2023-06-19 | Write the range of the function (where \( [\cdot] \) represents greatest integer function)
(i) \... | 5:15 | 24 | |
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| 2023-06-19 | Let \( f: R^{+} \rightarrow R \), where \( R^{+} \)is the set of all positive real numbers be su... | 3:41 | 4 | |
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| 2023-06-19 | If \( f(x)=\cos \left[\pi^{2}\right] x+\cos \left(\left[-\pi^{2}\right] x\right) \), where [.] d... | 5:59 | 0 | |
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| 2023-06-19 | If the equation ||\( x+3|-2|=p \), has exactly three distinct solution, then find the number of ... | 5:55 | 32 | |
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| 2023-06-19 | In Column-I below some relation sets are defined. Column-II enlists the cardinal number of these... | 12:29 | 8 | |
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| 2023-06-19 | If \( f(x)=\sin ^{2} x+\sin ^{2}(x+\pi / 3)+\cos x \cos (x+\pi / 3) \) and \( g(5 / 4)=1298 \) t... | 7:08 | 1 | |
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| 2023-06-19 | Let \( A=\{12,13,14,15,16,17\} \) and \( f: A \rightarrow Z \) be a function given by \( f(x)= \... | 3:44 | 2 | |
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| 2023-06-19 | If for non-zero \( x, a f(x)+b f\left(\frac{1}{x}\right)=\frac{1}{x}-5 \), where \( a \neq b \),... | 5:35 | 0 | |
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| 2023-06-19 | Solve the inequality \( |x-2| \leq 3|x+1| \). | 5:04 | 4 | |
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| 2023-06-19 | Solve the inequality \( |x+3| \geq 2|x-3| \). | 2:19 | 30 | |
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| 2023-06-19 | The sum of all real numbers which are not in the range of \( f(x)=\frac{x^{2}-3 x+2}{x^{2}-4 x+3... | 6:02 | 1 | |
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| 2023-06-19 | Which one of function best represent the graph of \( y=x^{\log _{x} \pi} \) ? (a) (c) (b) (d) | 2:22 | 0 | Vlog |
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| 2023-06-19 | Four graphs marked \( G_{1}, G_{2}, G_{3} \) and \( G_{4} \) are given in figure which are graph... | 9:54 | 7 | |
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| 2023-06-19 | Let \( f: A_{1} \rightarrow B_{1}, g: A_{2} \rightarrow B_{2}, \mathrm{p}: A_{3} \rightarrow B_{... | 3:04 | 10 | |
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| 2023-06-19 | If \( f(x+a y, x-a y)=a x y \), then \( f(x, y) \) equals
(a) \( \frac{x^{2}+y^{2}}{4} \)
(b) \(... | 3:38 | 5 | |
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| 2023-06-19 | The domain of the function \( f(x)=\frac{\sqrt{x+2}}{x^{2}-9} \) is
(a) \( (-\infty,-3) \cup(2, ... | 2:53 | 3 | |
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| 2023-06-19 | Which one of the following best represents the graph of function \( f(x)=\frac{\left|x^{2}-x-30\... | 5:11 | 4 | |
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| 2023-06-19 | The range of the function \( f(x)=\frac{x^{2}-x}{x^{2}-2 x} \) is
(a) \( R \)
(b) \( R-\{1\} \)
... | 4:36 | 1 | |
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| 2023-06-19 | If \( f(x)=\log \left(\frac{1+x}{1-x}\right) \) and \( \mathrm{g}(\mathrm{x})=\frac{3 x+x^{3}}{1... | 3:46 | 2 | Vlog |
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| 2023-06-19 | If \( f(x)=\cos (\log x) \), then \( f(x) f(y)-\frac{1}{2}\left\{f\left(\frac{x}{y}\right)+f(x y... | 4:21 | 0 | Vlog |
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| 2023-06-19 | Range of \( f(x)=\ln \left(3 x^{2}-4 x+5\right) \) is
(a) \( \left[\ln \frac{11}{3}, \infty\righ... | 6:26 | 5 | |
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| 2023-06-19 | Write the range of the function \( f(x)=\cos [x] \), where \( -\frac{\pi}{2}x\frac{\pi}{2} \).
(... | 3:28 | 1 | |
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| 2023-06-19 | Write the range of the function \( f(x)=\mathrm{e}^{x-[x]}, x \in R \).
(a) \( [1, \mathrm{e}] \... | 2:28 | 4 | |
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| 2023-06-19 | Let \( f(x)=\sqrt{1+x^{2}} \), then
(a) \( f(x y)=f(x) \cdot f(y) \)
(b) \( f(x y) \geq f(x) \cd... | 3:11 | 0 | |
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| 2023-06-19 | Find the number of solution of equation \( \ln (2-x)=e^{x} \) (a) 0 (b) 1 (c) 2 (d) 3 | 6:47 | 29 | |
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| 2023-06-19 | Domain of the function \( f(x)=\frac{\sin [x-1]}{[x-1][x+2]} \) where \( [x] \) denotes the grea... | 4:54 | 12 | |
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| 2023-06-19 | Murk the correct alternative in the following :
If \( f: R \rightarrow R \) be given by \( f(x)=... | 3:16 | 5 | |
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| 2023-06-19 | Write the domain and range of \( f(x)=\sqrt{x-[x]} \)
(a) Domain \( \in R \), range \( \in[0,1) ... | 4:28 | 5 | |
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| 2023-06-19 | Let \( \mathrm{f} \) and \( \mathrm{g} \) be real functions defined by \( f(x)=2 x+1 \) and \( g... | 2:20 | 3 | |
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| 2023-06-19 | Write the domain and range of function \( f(x) \) given by \( f(x)=\sqrt{[x]-x} \)
(a) Domain \(... | 3:45 | 5 | |
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| 2023-06-19 | If \( A=\{-1,2,3\} \) and \( B=\{1,3\} \), then determine \( B \times A \)
(a) \( \{(-1,1),(-1,3... | 2:42 | 1 | |
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| 2023-06-19 | Write the domain and range of function \( f(x) \) given by
\[
f(x)=\frac{1}{\sqrt{x-|x|}}
\]
(a)... | 2:36 | 9 | |
|
| 2023-06-19 | The maximum value of the function \( f(x)=\frac{1}{x^{2}-2|x|+2} \),
(a) \( 1 / 4 \)
(b) \( 1 / ... | 3:44 | 5 | |
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| 2023-06-19 | Range of function \( f(x)=\frac{x-2}{x^{2}-4 x+3} \)
(a) \( (-\infty, 0) \)
(b) (R)
(c) \( (0, \... | 5:16 | 16 | |
|
| 2023-06-19 | The domain and range of the real function \( \mathrm{f} \) defined by \( f(x)=\frac{4-x}{x-4} \)... | 3:25 | 8 | |
|
| 2023-06-19 | Domain of \( \sqrt{a^{2}-x^{2}}(a0) \) is
(a) \( (-a, a) \)
(b) \( [-a, a] \)
(c) \( [0, a] \)
(... | 2:32 | 1 | |
|
| 2023-06-19 | \( f(2 x+3 y, 2 x-7 y)=20 x \) then \( f(x, y) \) equal to
(a) \( 7 x-3 y \)
(b) \( 7 x+3 y \)
(... | 3:52 | 0 | |
|
| 2023-06-19 | Range of \( f(x)=4^{x}+2^{x}+1 \) is
(a) \( (0, \infty) \)
(b) \( (1, \infty) \)
(c) \( (2, \inf... | 4:06 | 10 | |
|
| 2023-06-19 | Mark the correct alternative in the following:
The domain of definition of the function
\( f(x)=... | 4:33 | 4 | |
|
| 2023-06-19 | Which one of the following is correct?
(a) \( A \times(\mathrm{B}-C)=(A-B) \times(A-C) \)
(b) \(... | 2:45 | 4 | |
|
| 2023-06-19 | The range of the function \( y=\log _{3}\left(5+4 x-x^{2}\right) \) is
(a) \( (0,2] \)
(b) \( (-... | 4:51 | 3 | Vlog |
|
| 2023-06-19 | The range of the function, \( y=\log _{\sqrt{7}}(\sqrt{2}(\sin x-\cos x)+5) \) is
(a) \( R \)
(b... | 5:27 | 6 | Vlog |
|
| 2023-06-19 | In a survey of 25 students, it was found that 12 have taken physics, 11 have taken chemistry and... | 17:20 | 6 | |
|
| 2023-06-19 | The range of the function \( y=\frac{1}{2-\sin 3 x} \) is
(a) \( \left(\frac{1}{3}, 1\right) \)
... | 2:45 | 3 | |
|
| 2023-06-19 | In a survey of 100 students, the number of students studying the various languages is found as: ... | 14:24 | 3 | |
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| 2023-06-19 | Domain of \( f(x)=\frac{1}{\sqrt{[x]-x}} \) is: (Here \( [x] \) represents greatest integer func... | 4:32 | 12 | |
|
| 2023-06-19 | Domain of \( f(x)=\log _{(2 x-5)}\left(x^{2}-3 x-10\right) \)
(a) \( (5, \infty) \)
(b) \( (-\in... | 4:56 | 4 | Vlog |
|
| 2023-06-19 | If \( \mathrm{R}_{1}=\{(x, y) \mid y=2 x+7 \), where \( x \in R \) and \( -5 \leq x \leq 5\} \) ... | 5:47 | 3 | |
|
| 2023-06-19 | The universal set \( U \) and the sets \( O, P \) and \( S \) are given by
\( U=\{x: x \) is an ... | 12:34 | 7 | |
|
| 2023-06-19 | The midpoint of domain of the function
\[
g(x)=\sqrt{4-\sqrt{2 x+5}}
\]
(a) \( \frac{-2}{5} \)
(... | 3:28 | 5 | |
|
| 2023-06-19 | Let \( A=\{x \in R:|x+1|2\} \) and \( B=\{x \in R:|x-1|2\} \). Then which one of the following s... | 6:09 | 13 | |
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