**Q1. cos α + cos β = & sin α + sin β = & θ is AM of α & B. then sin2θ + cos 2θ = ? **

(a) 3/5

(b) 4/5

(c) 7/5

(d) 8/5

**Q2.**

(a) 2

(b) 6

(c) 4

(d) 7

**Q3. D is a point on side BC of triangle ABC, while E is a point on AD. Find the ratio AE: ED. If the area of triangle ABC is 150% greater than that of triangle AEC and CD is twice BD. **

(a)1 : 1

(b)2 : 1

(c)4 : 3

(d)3 : 2

**Q4. A pentagon is formed by drawing an equilateral triangle ABF on the side AB of a square ABCD. A circle is now drawn such that the vertices C, D and F of the pentagon lie on the circumference of the circle. If the side of the square is 8 cm, what is the radius of the circle? **

(a) 8√3

(b)8√2

(c)8

(d)4√6

**Q5. In ∆ABC, AC = CD, &∠CAB – ∠ABC = 30°. Find ∠BAD.**

(a) 15°

(b) 30°

(c) 10°

(d) 45°

**Q6. If roots of ax² + bx + b = 0 are in ratio p : q, then **

(a) 1

(b) -1

(c) 2

(d) 0

**Q7. If the equation x³ – ax² + bx – a = 0 has three real roots then which of the following is true ?**

(a) a = 1

(b) a ≠ 1

(c) b = 1

(d) b ≠ 1

**Q8. Find minimum value of (a – 2) (a – 9)**

**Q9. **

(a) 0.525

(b) 0.625

(c) 0.785

(d) 0.985

**Q10 Area of the hexagon is given as 294√3 cm2. Find the approximate area of the shaded region? (√3= 1.73) **

(a) 150 cm2

(b) 180 cm2

(c) 200 cm2

(d) 220 cm2

**Solutions:**