Sri Sri Ravishankar Vidhya Mandir Bangalore South : Peer Assessment Class:11 Subject:Maths 1. The general solutions of the following equation : tan 2q = 0 is (a) θ=n/2 +Π, nεZ (b) θ=nΠ/2 , nεZ (c) θ=Π/2+n , nεZ (d) None 2. If sin q and cos q are the roots of the equation ax2 – bx + c = 0, then a b and c satisfy the relation. (a) a2 + b2 + 2ac = 0 (b) a2 – b2 + 2ac = 0 (c) a2 + c2 + 2ab = 0 (d) a2 – b2 – 2ac = 0 3. If tan q = -4/3 , then sin q is (a) -4/5 but not 4/5 (b) -4/5 or 4/5 (c) 4/5 or -4/5 (d) None of these 4. f tan2 A = 2 tan2 B + 1, then cos 2A + sin2B equals: (a) –1 (b) 1 (c) 0 (d) 2 5. What is the value of (secq – cosq) ( cotq + tanq ) ? (a) 1 (b) 2 (c) sinΘ (d) cosΘ 6. If cosT = 3/5 and if sin R = 8/17 , where T is in the fourth quadrant and R is in the second quadrant, then cos (T – R) is equal to: (a) 77/85 (b) 13/85 (c) – 13/85 (d) –77/85 7. Question. What is the value of radian measures corresponding to the 25° measures ? (a) 5Π/36 (b) 2Π/36 (c) 3Π/36 (d) 4Π/36 Sri Sri Ravishankar Vidhya Mandir Bangalore South : Peer Assessment Class:11 Subject:Maths 8. The value of sin 20° sin 40° sin 60° sin 80° is (a) -3/16 (b) 5/16Type equation here. (c) 3/16 (d) 1/16Type equation here. 9. If tan A = 1/2, tan B = 1/3; then what is the value of tan (2A + B) ? (a) 1 (b) 2 (c) 3 (d) 4 10. If a and b are solutions of sin2x + a sin x + b = 0 as well as that of cos2x+ c cos x + d = 0, then sin (a + b) is equal to : (a) 2bd /b2+d2 (b) a2+c2/2ac (c) b2+d2/2bd (d) 2ac/a2+c2 11. Given x > 0, in which interval the values of f (x) = 3cos √3+ x+ x2 lie? (a) [– 3, 3) (b) (–3, 3] (c) (–3, 3) (d) [–3, 3] 12. . If 3 tan (θ– 15°) = tan (θ+ 15°), 0° < θ< 90°, then (a) Π/4 (b) Π/2 (c) -Π/4 (d) -Π/2 13. Find all angles θsuch that -2π < θ< 2π and cos θ= √2 / 2 a. {-7 π / 4, - π / 4 , π / 4 , 7 π / 4} b. {- π / 4, - 3 π / 4 , π / 4 , 3 π / 4} c. {-5 π / 4, π / 4 , 3 π / 4} d. {π / 4 , π / 4 , 3 π / 4} 14. The perimeter of a triangle ABC is 6 times the arithmetic mean of the sines of its angles. If the side b is 2, then the angle B is (a) 30° (b) 90° (c) 60° (d) 120° Sri Sri Ravishankar Vidhya Mandir Bangalore South : Peer Assessment Class:11 Subject:Maths 15. If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is (a) π/3 (b) π/2 (c) 2π/3 (d) 3π/2 16. The general solution of √3 cos x – sin x = 1 is (a) x = n × π + (-1)n × (π/6) (b) x = π/3 – n × π + (-1)n × (π/6) (c) x = π/3 + n × π + (-1)n × (π/6) (d) x = π/3 – n × π + (π/6) 17.The value of (sin 7x + sin 5x) /(cos 7x + cos 5x) + (sin 9x + sin 3x) / (cos 9x + cos 3x) is (a) tan 6x (b) 2 tan 6x (c) 3 tan 6x (d) 4 tan 6x