List of top Questions asked in CBSE Class X- 2026

If the zeroes of a polynomial $p(x)$ are $-3$ and $8$, then $p(x)$ equals

A wire is attached from a point $A$ on the ground to the top of a pole $BC$, making an angle of elevation as $60^\circ$. If $AB = 5\sqrt{3}\text{ m}$, then length of the wire is

Simplest form of $\frac{\sec A}{\sqrt{\sec^2 A - 1}}$ is

The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

An arc of length $2.2\text{ cm}$ subtends an angle $\theta$ at the centre of the circle with radius $2.8\text{ cm}$. The value of $\theta$ is

While calculating mean of a grouped frequency distribution, step deviation method was used $\left(\frac{x - a}{h} = u\right)$. It was found that $\bar{x} = 64$, $h = 5$ and $a = 62.5$. The value of $\bar{u}$ is

Assertion (A) : H.C.F. ($36\text{ m}^2, 18\text{ m}$) = $18\text{ m}$, where m is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

Which of the following can not be the probability of an event ?

A card is drawn at random from a well shuffled deck of 52 playing cards. The probability that it is either a ten or a king is

Devansh proved that $\Delta ABC \sim \Delta PQR$ using SAS similarity criteria. If he found $\angle C = \angle R$, then which of the following was proved true?

Meena calculates that the probability of her winning the first prize in a lottery is $0.08$. If total $800$ tickets were sold, the number of tickets bought by her, is

The value of k for which the system of linear equations kx – y – 2 = 0 and 6x – 2y – 3 = 0 has infinitely many solutions, is (does)

In the given figure, DE \(\parallel\) BC. If \(\frac{AD}{DB} = \frac{1}{3}\) and AC = 6 cm, then length AE is

PQ is tangent to a circle with centre O. If \(\angle POR = 65^\circ\), then m\(\angle PTR\) is

Observe the graph of polynomial p(x). The zeroes of the polynomial are

From an external point P, a tangent PT has been drawn to a circle with centre at O and radius 3 cm, intersecting its concentric circle at A and B. If AB = 8 cm and OA = AP, the length PQ equals.

The distance between the points (a cos \(\theta\) + b sin \(\theta\), 0) and (0, a sin \(\theta\) – b cos \(\theta\)) is

It is given that \(\Delta ABC \sim \Delta EDF\). Which of the following is not true ?

An ice-cream cone of radius r and height h is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then h : 2r equals

\(\frac{\sec^2 A - 1}{\sin^2 A}\) is same as

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

A circle is divided into 16 identical sectors. If radius of the circle is 7 cm, area of each sector 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.

Assertion (A) : (\(\sqrt{3}\) + \(\sqrt{5}\)) is an irrational number.
Reason (R) : Sum of the any two irrational numbers is always irrational.

The value of k for which the system of linear equations \(\frac{x}{2} + \frac{y}{3} = 5\) and \(2x + ky = 7\) is inconsistent, is