Question Papers

2010
Class – X
Subject –Mathematics

Time: 1 hour M.M.23

(1 mark question) set-1
Find the length of the diameter of a circle whose circumference is 44 cm
Find if the sequence is an A.P. . 2,Ö8,Ö18 ,Ö32
One end of the diameter of a circle is (2,3) and the center is (-2,5) find the co ordinates of the other end of the diameter.
A sphere of radius r is divided into four parts find the S.A of one part
Without actual division, find whether 7/30 is terminating or no terminating.
Find the probability of a face card when one card is drawn from a well-shuffled pack of 52 cards.
Evaluate sin52/ cos38 + 2cosec40/sec50
What is the nature of the roots of 2x2-5x+6
Give an example of p (x) ,g(x) ,q(x) and r(x) which satisfies the division algorithm deg p(x)= deg r(x)
If tan A = 5/6 , find the value of 1-cotA
Set-2
1. State the Fundamental Theorem of Arithmetic.

2. The graph of y = f(x) is given below. Find the number of zeroes of f(x).

3. – 1 is a zero of the polynomial P (x) = ax2 – 3 (a-1) x – 5, then final the value of a

4. What is the nature of roots of the quadratic equation 4x2 – 12x – 9 = 0?

5. If the adjoining figure is a sector of a circle of radius 10.5 cm, find the perimeter of the sector.
(Take )
6. The length of tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What will be the radius of the circle?

7 If the intersection point of the more than and less than ogive is (34.8, 30), then find the median of the data.
8. A bag contains 5 red and 4 black balls. A ball is drawn at random from the bag. What is the probability of getting a black ball?
9. What is the distance between two parallel tangents of a circle of radius 4 cm?

10.The height of a tower is 10 m. Calculate the height of its shadow when Sun’s altitude is 45°.