List of top Questions asked in CBSE Class X- 2026

If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has :

The common difference of the AP : \(\sqrt{2}, 2\sqrt{2}, 3\sqrt{2}, 4\sqrt{2}, \dots\) is :

If \(\Delta ABC\) and \(\Delta DEF\) are similar such that \(2 AB = DE\) and \(BC = 8\) cm, then \(EF\) is equal to :

The mid-point of the line segment joining the points \((5, -4)\) and \((6, 4)\) lies on :

Given that \(\sin \theta = \frac{a}{b}\), then \(\cos \theta\) is equal to :

If \(\cos A = \frac{1}{2}\), then the value of \(\sin^{2} A + 2 \cos^{2} A\) is :

The string of a flying kite is tied to a point on the ground. The length of the string between the kite and the point on the ground is 80 m. The string makes an angle of \(30^{\circ}\) with the ground. The height of the kite above the ground is :

If \(TP\) and \(TQ\) are two tangents to a circle with centre \(O\) from an external point \(T\) so that \(\angle POQ = 120^{\circ}\), then \(\angle PTQ\) is equal to :

In the given figure, \(PA\) is a tangent from an external point \(P\) to a circle with centre \(O\). If \(\angle POB = 125^{\circ}\), then \(\angle APO\) is equal to :

Shown in the given figure is a circle with centre \(O\). The area of the minor sector is \(7 \text{ cm}^{2}\). Area of circle is :

In the given figure, \(O\) is the centre of circle. \(XYZ\) is an arc of the circle subtending an angle of \(45^{\circ}\) at the centre. If the radius of the circle is 32 cm, then the length of the arc \(XYZ\) is :

The radius of a sphere (in cm) whose volume is \(36 \pi \text{ cm}^{3}\), is :

If the mean and mode of a data are 12 and 21 respectively, then its median is :

A die is thrown once. Probability of getting a number other than 3 is :

The HCF of 960 and 432 is :

The natural number 2 is :

Assertion (A) : The probability that a leap year has 53 Mondays is \(\frac{2}{7}\).
Reason (R) : The probability that a non-leap year has 53 Mondays is \(\frac{5}{7}\).

Do the points \(P (1, 0)\), \(Q (- 5, 0)\) and \(R (- 2, 5)\) form a triangle ? If so, name the type of triangle formed.

If \(\tan \theta = \frac{24}{7}\), then find the value of \(\sin \theta + \cos \theta\).

If \(\cot \theta = \frac{7}{8}\), then find the value of \(\frac{(1+\sin \theta)(1-\sin \theta)}{(1+\cos \theta)(1-\cos \theta)}\).

Two concentric circles are of radii 5 cm and 4 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Find a quadratic polynomial whose zeroes are \((5 - 2\sqrt{3})\) and \((5 + 2\sqrt{3})\).

In \(\Delta ABC\), \(DE \parallel BC\). If \(AD = x\), \(DB = x - 2\), \(AE = x + 2\) and \(EC = x - 1\), then find the value of \(x\).

In the figure given, \(\Delta ABC \sim \Delta XYZ\), then find the values of \(x\) and \(y\). (Given: \(AB=4, BC=6, AC=y, XY=x, YZ=7.2, XZ=6\))

If \(x = h + a\cos\theta, y = k + b\sin\theta\), then prove that : \(\left(\frac{x-h}{a}\right)^2 + \left(\frac{y-k}{b}\right)^2 = 1\).