List of practice Questions

The lower surface of leaf will have more number of stomata in a
The logically equivalent preposition of $p \Leftrightarrow q$ is
The locus of the point of intersection of lines $x \cos \, \alpha + y \sin \alpha = a$ and $x \sin \alpha - y \cos \alpha = b$ ($\alpha$ is a variable)
The locus of the vertices of the family of parabola $ 6y = 2a^3x^2 + 3a^2x - 12a $ is
The locus of the equation $xyz = 0$ is
The locus of the foot of the perpendicular from the centre of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1$ on any tangent is given by $(x^2+y^2) = lx^2+my^2$,where
The lines x + 2y - 5 = 0, 2x - 3y + 4 = 0, 6x + 4y - 13 = 0
The liquid drop model of nucleus was proposed by
The linear strain in x ,y and z directions are $e_x,e_y$ and $e_z$. respectively. Then the volumetric strain is given by
The lines $a_1x + b_1y + c_1 = 0$, $a_2x + b_2y + c_2 - 0$ and $a_3x = 0$ are concurrent, if $b_1c_2 - b_2c_1$ is equal to
The line $ y = 2x + c$ is. a tangent to the parabola $ y^2 = 16x$, if c equals
The linear momentum of a $3\, MeV$ photon is
The limiting radius ratio for tetrahedral shape is:
The line $\frac {x} {a} + \frac {y} {b} =1$ touches the curve $y = be^{-x/a}$ at the point
The life span of thrombocytes is
The lightest gas which is non-inflammable is
The level of water in a tank is 5m high. A hole of area $1\,cm^2$ is made at the bottom of the tank. The rate of leakage of water from the hole in $m^3/s$ is $(g=10\,ms^{-2})$
The lengths of the tangent drawn from any point on the circle $15x^2 + 15x^2 - 48x +64y = 0$ to the two circles $5x^2 + 5y^2 -24x + 32y +75 = 0$ and $5x^2 + 5y^2 - 48x + 64y +300 = 0$ are in the ratio of
The letters of the word "LABOUR" are permuted in all possible ways and the words thus formed are arranged as in a dictionary the rank of the word "LABOUR" is
The length of the simple pendulum which ticks seconds is
The length of the subtangent to the curve $x^2 + xy + y^2 = 7$ at $ (1, - 3)$ is
The length of the common chord of the two circles $x^2 + y^2 - 4y = 0$ and $x^2 + y^2 - 8x - 4y + 11 = 0$
The length of the perpendicular drawn from the point (3, -1, 11) to the line $\frac{x}{2} = \frac{y-2}{3} = \frac{z-3}{4} $ is :
The length of a solenoid is 0.1m and its diameter is very small. A wire is wound over in two layers. The number of turns in the inner layer is 50 and that on the outer layer is 40. The strength of current flowing in two layers in the same direction is 3 ampere. The magnetic induction in the middle of the solenoid will be
The length of a wire required to manufacture a solenoid of length l and self-induction L is (cross-sectional area is negligible)