| 2022-10-27 | If \( a, x, b \) are in \( A P, a, y, b \) are in GP and \( a, z, b \) are in HP such that \( x=... |
| 2022-10-27 | In an \( A P, S_{p}=q, S_{q}=p \) and \( S_{r} \) denote the sum of the firstr terms. Then \( S_... |
| 2022-10-27 | If the harmonic mean between \( \mathrm{P} \) and \( \mathrm{Q} \) be \( \mathrm{H} \) then \( \... |
| 2022-10-27 | Let \( f(x)=\left\{\begin{array}{lc}2-x & , \quad-3 \leq x \leq 0 \\ x-2, & 0x4\end{array}\right... |
| 2022-10-27 | Three consecutive terms of a progression are \( 30,24,20 \). The next term of the progression is... |
| 2022-10-27 | If \( x1, y1, z1 \) are three numbers in GP then
\[
\frac{1}{1+\ln x}, \frac{1}{1+\ln y}, \frac{... |
| 2022-10-27 | If \( x, 2 y, 3 z \) are in \( A P \), where the distinct numbers \( x, y, z \) are in \( G P \)... |
| 2022-10-27 | If \( 4 a^{2}+9 b^{2}+16 c^{2}=2(3 a b+6 b c+4 c a) \), where \( a, b, c \) are nonzero numbers,... |
| 2022-10-27 | Given a triangle whose vertices are at \( (0,0),(4,4) \) and \( (10,0) \). A square is drawn in ... |
| 2022-10-27 | The equation of a curve which passes through the point \( (3,1) \), such that the segment of any... |
| 2022-10-27 | If \( a, b, c \) are in GP then \( a+b, 2 b, b+c \) are in (a) AP (b) GP (c) HP (d) none of these |
| 2022-10-27 | A foot of the normal from the point \( (4,3) \) to a circle is \( (2,1) \) and a diameter of the... |
| 2022-10-27 | Vertices of a parallelogram \( A B C D \) are \( A(3,1), B(13,6), C(13,21) \) and \( D(3,16) \).... |
| 2022-10-27 | \( A, B \) and \( C \) are points in the \( x y \)-plane such that \( A(1,2) ; B(5,6) \) and \( ... |
| 2022-10-27 | If \( f(x)=\left[\begin{array}{cc}\cos x^{3} & ; x0 \\ \sin x^{3}-\left|x^{3}-1\right| & ; x \ge... |
| 2022-10-27 | A ray of light passing through the point \( A(1,2) \) is reflected at a point \( B \) on the \( ... |
| 2022-10-27 | Through a point \( A \) on the \( x \)-axis a straight line is drawn parallel to \( y \)-axis so... |
| 2022-10-27 | Suppose that a ray of light leaves the point \( (3,4) \), reflects off the \( y \)-axis towards ... |
| 2022-10-27 | The value of \( \sqrt{\pi\left(\int_{0}^{2008} x|\sin \pi x| d x\right)} \) is equal to:
(a) \( ... |
| 2022-10-27 | The value of the definite integral \( \int_{0}^{\pi / 3} \ln (1+\sqrt{3} \tan x) d x \) equals :... |
| 2022-10-27 | The absolute value of \( \int_{10}^{19} \frac{(\sin x)}{\left(1+x^{8}\right)} d x \) is less tha... |
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