CBSE 10 Maths Question Paper-2024 Set-4

From an external point P, a tangent PA is drawn to a circle. The number of tangents through P parallel to PA is:

If the volume of a sphere is 21 cm³, then the radius of the sphere is:

In the given figure, graph of a polynomial f(x) is shown. The number of zeroes of polynomial f(x) is:

If the two zeroes of a quadratic polynomial are ± 5, then the quadratic polynomial is:

In a right-angled triangle ABC, ∠A = 90º and AB = AC. The value of sin C is:

If in an A.P., a = 2 and S10 = 335, then its 10th term is:

From a solid cube of side 14 cm, a sphere of maximum diameter is carved out. The radius of the sphere is:

If the two zeroes of a quadratic polynomial are ± 5, then the quadratic polynomial is:

In the given figure, tangents PA and PB drawn from P to circle are inclined to each other at an angle of 80°. The measure of ∠PAB is:

If in the given figure, DE || BC. If AD = 2.8 cm, DB = 2.1 cm and EC = 4.8 cm, then the value of x is:

In a right-angled triangle ABC, ∠A = 90º, and AB = AC. The value of sin C is:

If cos A = 13/5, then verify that:

The altitude of a right-angled triangle is 7 cm less than its base. If its hypotenuse is 17 cm long, then represent the above information in the form of a quadratic equation:

In the given figure, two concentric circles of radii 5 cm and 3 cm have their centre O. OAB is a sector of outer circle making an angle of 60º at the centre while OCD is the sector of smaller circle. The area of the shaded region is:

If cos θ = 1/2, then tan θ is equal to:

A die is thrown once. The probability of getting a number less than 6 is:

In the given figure, two concentric circles of radii 5 cm and 3 cm have their centre O. OAB is a sector of outer circle making an angle of 60º at the centre while OCD is the sector of smaller circle. The area of the shaded region is:

If cos θ = 1/2, then tan θ is equal to:

The distance of P(a, b) from origin is a² + b². The distance between two points A(x1, y1) and B(x2, y2) is:

The probability of getting 2 heads when two fair coins are tossed together is:

If in a right-angled triangle ABC, ∠A = 90º and AB = AC, what is the value of sin C?

If the mean and median of a data are 10 and 11 respectively, the mode of the data is:

If the distances of the point P(x, y) from (1, 0) and (0, 1) are equal, then which of the following is true?

The sum of the digits of a 2-digit number is 9. Nine times this number is twice the number obtained by reversing the order of the digits. Find the number:

In a right-angled triangle ABC, ∠A = 90º, and AB = AC. The value of sin C is: