List of top Questions asked in CBSE Class X- 2026

\(\frac{1 + \tan^2 A}{1 + \cot^2 A}\) equals to :

Arc PQ subtends an angle \(\theta\) at the centre of the circle with radius 6.3 cm. If \(\text{Length of arc } PQ = 11\) cm, then the value of \(\theta\) is

Three tennis balls are just packed in a cylindrical jar. If radius of each ball is r, volume of air inside the jar is

Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is

Assertion (A) : If probability of happening of an event is 0.2p, p $\gt $ 0, then p can't be more than 5.
Reason (R) : P(\(\overline{E}\)) = 1 – P(E) for an event E.

In the given figure, a circle is centred at (1, 2). The diameter of the circle is

In $\Delta DEF$, AB $\parallel$ EF. The value of x is :

Assertion (A) : Radius is the smallest distance of a tangent from the centre of the circle.
Reason (R) : Radius is perpendicular to the tangent.

If the roots of the quadratic equation $\sqrt{3}x^2 - kx + 2\sqrt{3} = 0$ are real and equal, then the value(s) of k is/are :

It is given that $\Delta ABC \sim \Delta QRP$ such that $AB = 9$ cm, $BC = 5$ cm and $PR = 2$ cm. Length of side QR is :

In the given figure, PQ and PR are tangents to a circle with centre O and radius 3 cm. If $\angle QPR = 60^\circ$, then the length of each tangent is :

In the given figure, $\Delta ABC$ is an equilateral triangle. $AD$ is a median of the triangle joining the points $A\left(0, \frac{5\sqrt{3}}{2}\right)$, $D(0, 0)$. Points B and C are (in same order) :

The number of multiples of 4 lying between 12 and 250 is :

In the given figure, PT is a tangent to the circle with centre O and radius r. If $\angle POT = 45^\circ$, then the length of OP is :

If the length of the shadow of a tower is $\sqrt{3}$ times that of its height, then altitude of the Sun is :

The median and mode of a distribution are $25.2$ and $26.1$ respectively. The mean of the distribution is :

A cone of maximum size is carved out from a solid cube of edge length $l$. The volume of the cone is :

The $n^{\text{th}}$ term of the A.P. $\frac{-1}{3}, \frac{2}{3}, \frac{5}{3}, \frac{8}{3}, \dots$ is :

The roots of the quadratic equation $(x - 1)^2 = 16$ are :

Given that $\sin 2\alpha = \frac{\sqrt{3}}{2}$, the value of $\sin 3\alpha$ is :

$(3 \times 11 \times 13 + 3)$ is :

The sum and product of zeroes of a quadratic polynomial $p(x)$ are $-\frac{1}{3}$ and $2$ respectively. The polynomial $p(x)$ is :

Assertion (A) : $\tan 2\theta$ is not defined at $\theta = 45^\circ$.
Reason (R) : $\sin 90^\circ \neq \cos 90^\circ$.

If \(\cos A = \frac{4}{5}\), then the value of \(\tan A\) is :

If \(2 \sin A = 1\), then the value of \(\tan A + \cot A\) is :