CBSE class 10 2015 Maths question paper

If is a solution of the quadratic equation 3x² + 2kx – 3 = 0, find the value of k.

The tops of two towers of height x and y, standing on level ground, subtend angles of 30 � and 60 � respectively at the center of the line joining their feet, then find x : y.

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.

In Fig. 1, PA and PB are tangents to the circle with center O such that . Write the measure of .

In Fig. 2, AB is the diameter of a circle with center O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.

Solve the following quadratic equation for x:

4x² – 4a²x + (a⁴ – b⁴) = 0

From a point T outside a circle of center O, tangents TP and TQ are drawn to the circle. Prove that OT is the right bisector of line segment PQ.

find the middle term of the A.P. 6, 13, 20, …, 216.

Find the ratio on which the point divides the line segment joining the points and B(2,-5).