2024-01-21 | If the angles of a triangle are in in ratio \( 3: 4: 5 \), then smallest angle in degrees and th.... |
2024-01-21 | In a circle of diameter \( 40 \mathrm{~cm} \) the length of a chord is \( 20 \mathrm{~cm} \). Th.... |
2024-01-21 | Let \( f=\{(2,4),(5,6),(8,-1),(10,-3)\} \) and \( g=\{(2,5),(7 \), \( 1),(8,4),(10,13),(11,5)\} .... |
2024-01-21 | If \( f: R \rightarrow R \) be given by \( f(x)=\frac{4^{x}}{4^{x}+2} \) for all \( x \in R \).
.... |
2024-01-21 | Let \( f=\{(2,4),(5,6),(8,-1),(10,-3)\} \) and \( g=\{(2,5),(7 \), \( 1),(8,4),(10,13),(11,5)\} .... |
2024-01-21 | If \( f(x)=64 x^{3}+\frac{1}{x^{3}} \) and \( \alpha, \beta \) are the roots of \( 4 x+\frac{1}{.... |
2024-01-21 | If \( f \) is a real valued function given by \( f(x)=27 x^{3}+ \)
\( \frac{1}{x^{3}} \) and \( .... |
2024-01-21 | Let \( f=\{(2,4),(5,6),(8,-1),(10,-3)\} \) and \( g=\{(2,5),(7 \),
\( 1),(8,4),(10,13),(11,5)\} .... |
2024-01-21 | If \( 3 f(x)+5 f\left(\frac{1}{x}\right)=\frac{1}{x}-3 \) for all non-zero \( x \), then \( f(x).... |
2024-01-21 | If \( f: R \rightarrow R \) and \( g: R \rightarrow R \) are defined by \( f(x)=2 x+ \)
3 and \(.... |
2024-01-21 | The domain of the function \( f \) defined by
\( f(x)=\frac{x^{2}+2 x+1}{x^{2}-x-6} \) is equal .... |
2024-01-21 | For any three sets. \( P, Q \) and \( R, s \) is an element of \( (F \) \( \Delta Q) \Delta R \).... |
2024-01-21 | If \( f:[-2,2] \rightarrow R \) is defined by \( f(x)=\left\{\begin{array}{l}-1, \text { for }-2.... |
2024-01-21 | Let \( A=\{x \in R: x \neq 0,-4 \leq x \leq 4\} \) and \( f: A \rightarrow R \) be
defined by \(.... |
2024-01-21 | If \( R \) is a relation on a finite set having \( n \) elements, then
the number of relations o.... |
2024-01-21 | Let \( n(A)=m \) and \( n(B)=n \). Then the total number of
non-empty relations that can be defi.... |
2024-01-21 | In a class of 42 students, the number of students studying different subjects are 23 in Mathemat.... |
2024-01-21 | If \( R \) is a relation from a finite set \( A \) having \( m \) elements
to a finite set \( B .... |
2024-01-21 | Let \( R \) is a relation from \( \{11,12,13\} \) to \( \{8,10,12\} \) defined by \( y=x-3 \). T.... |
2024-01-21 | Let \( R \) be a relation on \( N \) defined by \( x+2 y=8 \). Then
domain of \( R \) is
W..... |
2024-01-21 | If \( R=\left\{(x, y): x, y \in Z, x^{2}+y^{2} \leq 4\right\} \) is a relation on \( Z \),
then .... |