List of practice Questions

If the matrix AB = O, then

If the mean deviation about the median of the numbers a, 2a,.......,50a is 50, then | a | equals

If the mean deviation of the numbers 1, 1 + d, 1 + 2d, .... 1 + 100d from their mean is 255, then d is equal to :

If the mean of first n natural numbers is equal to $\frac{n + 7}{3}$, then n is equal to

If the length of three sides of a trapezium other than base are equal to $10 \,cm$, then find the area of trapezium when it is maximum.

If the line $3x - 4y + 5 = 0$ is a tangent to the parabola $y^2 = 4ax,$ then $a$ is equal to

If the line $ax + by + c = 0$ is a tangent to the curve $xy = 4,$ then

If the line joining $(2, 3, -1)$ and $(3, 5, -3)$ is perpendicular to the line joining $(1, 2, 3)$ and $(3, 5, \lambda)$, then $A =$

If the internal bisector of $\angle AOB$ where $O = (0, 0, 0), A= (3, 4, 12), B = (1, 2, 2)$ intersects AB at C then $C_y$ =

If the ionisation energy of hydrogen atom is $13.6\,eV$, the energy required to excite it from ground state to the next higher state is approximately

If the $j^{th}$ term and $k^{th}$ term of an A.P. are k and j respectively, the ( k + j) th term is:?

If the leaves on the stem show distichous condition, the

If the general formula for aldehyde is written as ${C_n H_{2n+1}CHO}$, the value of n for isobutyraldehyde is

If the half life of a radioactive substance is T, then its decay constant $\lambda$ is given by :

If the initial velocity of a body is $V_1$ and final velocity is $V_2$ and the angle between $V_1$ and $V_1$ is $\phi$ then the change in velocity is.

If the instantaneous current in a circuit is given by $I=2\,\cos(\omega+ \phi)$ ampere, the rms value of the current is.

If the events $A$ and $B$ are independent, then $P(A \cap B)$ is equal to

If the four points $\left(3, -2 , -1\right), \left(2, 3, -4\right)$, $\left(-1, 1, 2\right)$ and $\left(4, 5, \lambda\right)$ are coplanar then $\lambda$ is equal to

If the functions $f : R \rightarrow R , g : R \rightarrow R$ are defined as $f(x) = 2x +3, g(x) = x^2 + 7$ and $f[g(x)] = 25$ then $x = $

If the curves $x^2 = 9A (9 - y)$ and $x^2 = A(y + 1)$ intersect orthogonally, then the value of A is

If the difference of two unit vectors is again a unit vector, then the angle between them is

If the direction consines of a vector of magnitude 3 are $\frac{2}{3 }, \frac{-a}{3},\frac{2}{3},a>0$ then the vector is

If the components of a force. are P along east and along north direction ,then the force is

If the coordinates of four concyclic points on the rectangular hyperbola $xy = c^2$ are $(ct_i, c / t_i ), \,i = 1, 2, 3, 4$ then

If the coefficients of $x^7$ and $x^8$ in $\left( 2 + \frac{x}{3} \right)^n$ are equal, then n is