CBSE class 11 2014 Maths question paper for Delhi

If two different dices are rolled together, calculate the probability of getting an even number on both dice.

Find the number of solid spheres, each of diameter 6 cm that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm.

Solve the quadratic equation 2x² + ax – a² = 0 for x.

The first and the last terms of an AP are 5 and 45 respectively. If the sum of all its terms is 400, find its common difference.

Prove that the line segment joining the points of contact of two parallel tangents of a circle passes through its centre.

If from an external point P of a circle with centre O, two tangents PQ and PR are drawn such that ∠QPR = 120 °, prove that 2PQ = PO.

Rahim tosses two different coins simultaneously. Find the probability of getting at least one tail.

In Fig. 2, a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 20 cm, find the area of the shaded region.

(Use π = 3.14)