Pre Boards

Practice to excel and get familiar with the paper pattern and the type of questions. Check you answers with answer keys provided.

Sample Papers

Download the PDF Sample Papers Free for off line practice and view the Solutions online.

CBSE Class 10 Mathematics Solved Question Paper 2017

Short Answer Type

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?

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?

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.

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

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

AB + CD = BC + DA

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

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.

Given, P(x,y) is equidistant from A(5,1) and B(-1,5)

Now, AP = BP

$\Rightarrow \sqrt{{(5 - x)}^{2} + {(1 - y)}^{2}} = \sqrt{{(- 1 - x)}^{2} + {(5 - y)}^{2}} \Rightarrow {(5 - x)}^{2} + {(1 - y)}^{2} = {(- 1 - x)}^{2} + {(5 - y)}^{2} \Rightarrow (25 + x^{2} - 10 x) + (1 + y^{2} - 2 y) = (1 + x^{2} + 2 x) + (25 + y^{2} - 10 y) \Rightarrow x^{2} + y^{2} - 10 x - 2 y + 26 = x^{2} + y^{2} + 2 x - 10 y + 26 \Rightarrow - 10 x - 2 y = - 10 y + 2 y \Rightarrow - 12 x = - 8 y \Rightarrow 3 x = 2 y . . . . . . . . . (Dividing throughout by - 4)$