List of top Mathematics Questions asked in CBSE Class X

Prove that \(\sqrt{\frac{1 - \sin A}{1 + \sin A}} = \frac{1}{\sec A + \tan A}\).

Prove that \(\sqrt{2}\) is an irrational number.

In the given figure, \(\triangle\)ABC is right angled triangle with \(\angle\)A = \(90^\circ\). AD is perpendicular to BC.

(a)(i) Prove that \(\triangle\)DBA \(\sim\) \(\triangle\)DAC

The length of a pendulum is 70 cm and it describes an arc of length 88 cm when swings. The angle subtended by the arc at the centre is

The total surface area of a solid cone of radius 7 cm and slant height 25 cm, is

Assertion (A) : For an acute angle \(\theta\), \(\cos \theta\) is always less than 1.
Reason (R) : In a right-angled triangle, hypotenuse is the longest side and \(\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}\).

Assertion (A) : Median of a data is the value of \(\frac{N}{2}\), where N represents sum of all frequencies.
Reason (R) : Median divides the whole distribution in two equal parts.

If A(a, 0), B(1, 1) and C(0, b) form a triangle, right angled at B when joined, then establish a relation between a and b.

Find the H.C.F. and L.C.M. of 1530 and 2040.

PQ is tangent to a circle at a point P on the circle. The number of tangents which can be drawn to the circle parallel to PQ, is

In the given figure, DE $\parallel$ BC. If AD : AB = 1 : 3 and AE = 2.5 cm, then AC equals

If \(-26\), x, 2 are in A.P., then the value of x is

The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

A bag contains some red and some white balls. A ball is drawn at random from the bag. If the probability of getting a red ball is \(\frac{2}{7}\), then the probability of getting a white ball is

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of getting a queen of spade is

A chord \(QR\) subtends an angle of \(105^\circ\) at the centre \(O\) of the circle. The measure of \(\angle RQP\) is

The graph of a polynomial \(p(x)\) is shown here. The number of zeroes of the polynomial \(p(x)\) is

\(n^{\text{th}}\) term of the A.P. : \(-\frac{1}{3}, \frac{4}{3}, 3, \ldots\) is

If value of \(\cot \theta\) is \(\sqrt{5}\), then \(\sin \theta\) equals

Which of the following statements is not always true?

The probability of getting sum greater than 10, when two dice are rolled together, is

A cylinder of radius \(r\) is surmounted on a hemisphere of same radius. If total height of the object is 13 cm, then its inner surface area is

The roots of the quadratic equation \(x^2 + 9 = 0\) are

The distance between the points \((-2, 5)\) and \((5, -2)\) is

7 $\times$ 11 $\times$ 13 + 5 is