(a) 7 cm
(b) 8 cm
(c) 9 cm
(d) 6 cm
Q2. In an equilateral ∆ABC, E is a point on side CA, such that BE ⊥ CA, then AB² + BC² + CA² = ?
(a) 2 BE²
(b) 3 BE²
(c) 4 BE²
(d) 6 BE²
Q5. The length of a chord PQ of a circle whose radius is 5 cm long is 6 cm. Tangents drawn through points P and Q intersect at point T. The length of PT is–
(a) 3.75 cm
(b) 4.25 cm
(c) 4.75 cm
(d) 2.75 cm
Q7. The point of intersection of the bisectors of the exterior angles of ∆ABC, being formed at vertices B and C is O. If ∠A = x°, the value of ∠BOC is ?
(a) 90°+ (x°)/2
(b) 90°- (x°)/2
(c) 180°+ (x°)/2
(d) 180°- (x°)/2
Q8. In ∆ABC, ∠A = 50° and side BC is produced to the point D. If the bisector of ∠ABC and ∠ACD meet at point ‘E’, the value of ∠E is ?
(a) 25°
(b) 50°
(c) 100°
(d) 75°
Q9. In ∆ABC, if AB = AC and the value of ∠ACD formed by producing BC to point D is 100°.then the value of interior ∠A is ?
(a) 20°
(b) 40°
(c) 60°
(d) 80°
Q11. If 1/(∛4+∛2+1)=a∛4+b∛2+c and a, b and c are rational number, then value of a + b + c will be ?
(a) 0
(b) 1
(c) 2
(d) 3
Q13. The angles of elevation of the top of a pole from two points on the ground in the straight line passing through the foot of the pole, are complement to each other. The points are in the same side of the pole and their distances from the foot of the pole are 12 m and 27 m. The height (in meter) of the pole is?
(a) 12
(b) 18
(c) 16
(d) 15
Q14. The heights of two towers A and B are 45 m and 15 m respectively. The angle of elevation of the top of the tower A from the bottom of the tower B is 60°. If the angle of elevation of the top of the tower B from the bottom of A is θ , then the value of sinθ is ?
(a) 2/√3
(b) 1/√2
(c) √3/2
(d) 1/2
Q15. If 1 + cos²θ = 3sinθ.cosθ the integral value of cotθ is – (0<θ<π/2) ?
(a) 2
(b) 3
(c) 0
(d) 1
