List of top Mathematics Questions

Find the median of the following distribution table: 

In the figure, if $LM \parallel CB$ and $LN \parallel CD$, then prove that $\dfrac{AM}{BM} = \dfrac{AN}{DN}$. 

Find the mean of the following frequency table: 

The modal class of the following frequency table will be: 

Mean of the following table will be: 

A chord of a circle of radius 15 cm subtends an angle $60^\circ$ at the centre. Find the area of minor and major sectors of the circle. \[ (\pi = 3.14, \ \sqrt{3} = 1.73) \]
Find the LCM of the numbers 92 and 510.
Prove that the lengths of tangents drawn from an external point to a circle are equal.
The discriminant of the quadratic equation $x^2 + x - 1 = 0$ will be
The sum of the roots of the quadratic equation $1 - 4x + 4x^2 = 0$ will be
If the points $(1, 4)$, $(a, -2)$, and $(-3, 16)$ are collinear, then find the value of $a$.
If the distance between the points $(x, 5)$ and $(2, -3)$ is 17 units, then find the value of $x$.
The radius of the base of a cylinder is 3.5 cm. If its height is 8.4 cm, then its curved surface area will be
The angle of a sector of a circle of radius 4 cm is $60^\circ$. Its area will be
If the roots of the equation \(3x^2 + 5x - q = 0\) are equal, then the value of \(q\) will be
If \(P(E) = 0.05\), then the value of \(P(\overline{E})\) will be
The value of \(\tan 1^\circ \tan 2^\circ \tan 3^\circ \dots \tan 88^\circ \tan 89^\circ\) will be
A bag contains 3 red and 5 black balls. One ball is drawn out at random. The probability of it being a red ball will be
The eleventh term of the A.P. \(-62, -59, \dots, 7, 10\) will be
If \( p \sin \theta = q \cos \theta \), then the value of \(\csc \theta\) will be
If a pipe drained the water from a semi-spherical tank filled with water at the rate of $3 \dfrac{4}{7}$ litres per second, how much time will the pipe take to drain half of the water of the tank if the diameter of the tank is 3 m?
Prove that $(\sin \theta + \csc \theta)^2 + (\cos \theta + \sec \theta)^2 = 7 + \tan^2 \theta + \cot^2 \theta$.
The distance of point (7, 3) from y-axis will be
The maximum number of tangents drawn from an external point to a circle will be
The angle of elevation of the top of a 10-metre high building from a point P on the earth is 30°. There is a flag on top of the building. The angle of elevation of the top of the flag from point P is 45°. Find the length of the flag.