﻿ CBSE Class 10 Mathematics Solved Question Paper 2017 | Previous Year Papers | Zigya

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## CBSE Class 10 Mathematics Solved Question Paper 2017

#### Short Answer Type

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1.

The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?

2.

If a tower 30 m high, casts a shadow 10 3m long on the ground, then what is the angle of elevation of the sun?

3.

If the angle between two tangents drawn from an external point P to a circle of radius a and centre O, is 60°, then find the length of OP.

4.

What is the common difference of an A.P. in which a21- a7= 84?

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5.

A circle touches all the four sides of a quadrilateral ABCD. Prove that

AB + CD = BC + DA

6.

Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.

7.

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then find the coordinates of P and Q.

8.

If the distances of P(x, y) from A(5, 1) and B(-1, 5) are equal, then prove that  3x = 2y.

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#### Long Answer Type

9.

Find the value of p, for which one root of the quadratic equation px2 – 14x + 8= 0 is 6 times the other.

10.

For what value of n, are the nth terms of two A.Ps.  63, 65, 67,…. and 3, 10, 17,….. equal?

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