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