The equation of a curve passing through \( (2,7 / 2) \) and having gradient \( 1-\frac{1}{x^{2}}...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=pyKs7Cyte5U



Duration: 3:47
0 views
0


The equation of a curve passing through \( (2,7 / 2) \) and having gradient \( 1-\frac{1}{x^{2}} \) at \( (x, y) \) is
(a) \( y=x^{2}+x+1 \)
(b) \( x y=x^{2}+x+1 \)
(c) \( x y=x+1 \)
(d) \( x y=x^{2}-x-1 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-09The solution of the differential equation \( \frac{d y}{d x}=\frac{x y}{x^{2}+y^{2}} \) is (a) \...
2023-06-09The area of the region \[ \left\{(x, y) ;|x-1| \leq y \leq \sqrt{5-x^{2}}\right\} \] is equal to...
2023-06-09An integrating factor of the differential equation \( \left(1-x^{2}\right) \frac{d y}{d x}-x y=1...
2023-06-09Let \( O(0,0), \mathrm{A}(2,0) \) and \( \mathrm{B}\left(1, \frac{1}{\sqrt{3}}\right) \) be the ...
2023-06-09Find the curve passing through the origin in the form \( y=f(x) \) and satisfying the diffrentia...
2023-06-09The general solution of the differential equation \( \frac{d y}{d x}+\sin \left(\frac{x+y}{2}\ri...
2023-06-09The solution of the differential equation \( (x+y)^{2} \frac{d y}{d x}=a^{2} \) is (a) \( (x+y)^...
2023-06-09In a bank principal increasees continuously at the rate of \( 5 \% \) p.a. In how many years \( ...
2023-06-09If \( x^{2}+y^{2}=1 \) then \( \left(y^{\prime}=\frac{d y}{d x}, y^{\prime \prime}=\frac{d^{2} y...
2023-06-09Consider the functions defined by \( f, g: \mathbb{R} \rightarrow \mathbb{R} \) \( f(x)=x^{2}+\f...
2023-06-09The equation of a curve passing through \( (2,7 / 2) \) and having gradient \( 1-\frac{1}{x^{2}}...
2023-06-09Which of the following differential equations has the same order and degree (a) \( \frac{d^{4} y...
2023-06-09The integrating factor of the differention \( \frac{d y}{d x}=y \tan x-y^{2} \sec x \) is (a) \(...
2023-06-09The solution of the differential equation \( \frac{d y}{d x}+y \cot x=2 \cos x \) is (a) \( y \s...
2023-06-09The solution of the differential equation \( \frac{d y}{d x}+y=\cos x \) is (a) \( y=\frac{1}{2}...
2023-06-09The solution of \( \frac{d y}{d x}=e^{x}(\sin x+\cos x) \) is (a) \( y=e^{x}(\sin x-\cos x)+c \)...
2023-06-09Let \( C_{1} \) and \( C_{2} \) be the graphs of functions \( y=x^{2} \) and \( y=2 x \), \( 0 \...
2023-06-09The differential equation \( x\left(\frac{d^{2} y}{d x^{2}}\right)^{3}+\left(\frac{d y}{d x}\rig...
2023-06-09The order and degree of the differential equation \( \frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d ...
2023-06-09If the area of the region \( \left\{(x, y): x^{\frac{2}{3}}+y^{\frac{2}{3}} \leq 1, x+y \geq 0, ...
2023-06-09If \( A_{n} \) is the area bounded by the curve \( y=(\tan x)^{n} \) and the lines \( x=0 \) and...