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Multiple Choice Questions of one mark each:

1. The value of k for which equation (k – 1) x^{2} – 2kx + 2x + 1 = 0 has real and equal roots are:

a) 0, 3 b) 2, 1 c) 0, 34 d) 0, 1

2. If the 7 times the 7th term of A.P. is equal to 11 times its 11th term, then its 18th term is :

a) 7 b) 18 c) 0 d) 11

3. Which of the following statements is true?

a) The common point of a tangent and the circle is called the centre of the circle.

b) A secant of a circle intersects the circle in two distinct points.

c) We can draw only one tangent to a circle from a point in the exterior of the circle.

d) The tangents drawn at the end points of a chord are parallel.

P R

4. In figure 1 if O is the centre of a circle, PQ is a chord, And the tangent PR at P makes an angle of 500 with PQ Then ∠POQ is equal to:

a) 900 b) 1000 c) 750 d) 800 Q

Fig. 1

5. The length of the tangent drawn from a point Q outside a circle is 16cm. If the diameter of the circle is 24 cm, then the distance of Q from the Centre of the circle is:

a) 10cm b) 12 cm c) 8 cm d) 20 cm

6. To divide a line segment AB in the ratio 5:7, first a ray AX is drawn so that ∠BAX is an acute angle of them at equal distances points are marked on the ray AX such that the minimum number of these points is :

a) 8 b) 12 c) 10 d) 11

7. If the sum of the areas of two circle with radius R1 and R2 is equal to the area of a circle of radius R, then:

a) R_{1}^{2} + R_{2}^{2} = R^{2} b) R_{1} + R_{2} = R c) R_{1} + R_{2} < R d) R_{1}^{2} + R_{2}^{2} < R^{2}

8. If perimeter of a circle is equal to that of a square, then the ratio of their areas is:

a) 22 : 7 b) 7 : 22 c) 14 : 11 d) 11 : 14

9. A pole 6m high casts a shadow 2√3m on the ground, then the elevation of the sun is:

a) 90^{0} b) 30^{0} c) 45^{0} d) 60^{0}

10. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of heart. The number of outcomes favorable to E is:

a)13 b) 51 c) 3 d) 49

11. The equation x +√x-2 = 4 has

a) two real roots b) only one real root c) no real root d) more than two roots

12. If 3, 4 + p, 7 – p are in A.P. then p must be equal to:

a) 0 b) 31 c) 31− d) 32

13. From a point P which is at a distance of 5cm from the centre O of a circle of radius of 3cm, the pair of tangents PQ and PR are drawn to the circle. Area of Quadrilateral PQOR is:

a) 12 cm^{2} b) 15cm^{2} c) 20cm^{2} d) 24cm^{2}

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