In This Post we are providing Chapter-3 Trigonometric Function NCERT MCQ for Class 11 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.
NCERT MCQ ON TRIGONOMETRIC FUNCTION
1. If tan x = tan α , then the general solution of the equation is
(a) nπ – α
(b) 2nπ- α
(c) nπ + α
(d) 2nπ + α
Answer► (c) nπ + α
2. If cos a + 2cos b + cos c = 2 then a, b, c are in
(a) 2b = a + c
(b) b2 = a × c
(c) a = b = c
(d) None of these
Answer► (a) 2b = a + c
3. In a triangle ABC, medians AD and BE are drawn. If AD = 4, ∠DAB = π/6 and ∠ABE =π/3, then the area of the ΔABC is
(a) 8/3
(b) 16/3
(c) 32/3√3
(d) 64/3
Answer► (c) 32/3√3
4. What is the value of tan 3θ ? if tan θ = 1/2
(a) 1/5
(b) -11/2
(c) -1/5
(d) 11/2
Answer► (d) 11/2
5. The solution set of inequality
(a)
(b)
(c)
(d)
► (d)
6. If the median AD of a triangle ABC divides the angle ∠BAC in the ratio 1 : 2, then sinB/sinC is equal to
(a) 2 cos (A/3)
(b) (1/2) sec (A/3)
(c) (1/2) sin (A/3)
(d) 2 cosec (A/3)
Answer► (b) (1/2) sec (A/3)
7. The general solution of sin = 0 is
(a) nπ where n is a real number
(b) nπ, where n is an integer
(c) 2π
(d) π
Answer► (b) nπ, where n is an integer
8. If cos A = sin/2sinC, then ΔABC is
(a) Equilateral
(b) Isosceles
(c) Right angled
(d) None of these
Answer► (b) Isosceles
9. The solutions of the equation 4 cos2 x + 6 sin2 x = 5 are
(a)
(b)
(c)
(d)
Answer► (a)
10. The sum of the radii of inscribed and circumscribed circle for an n sided regular polygon of side a, is
(a) a cot (π/n)
(b) a/2 cot(π/2n)
(c) a cot (π/2n)
(d) a/4 cot(π/2n)
Answer► (b) a/2 cot(π/2n)
11. The number of values of x in the interval [0, 3π] satisfying the equation 2 sin2 x + 5 sin x – 3 = 0 is
(a) 6
(b) 1
(c) 2
(d) 4
Answer► (d) 4
12. tan(π + x)=
(a) -tan x
(b) tan π + tan x
(c) 0
(d) tan x
Answer► (d) tan x
13. The vertices angle of a triangle is divided into two parts, such that the tangent of one part is 3 times the tangent of the other and the difference of these parts is 30º, then the triangle is
(a) Isosceles
(b) Right angled
(c) Obtuse angled
(d) None of these
Answer► (b) Right angled
14. The number of solutions for the equation sin 2x + cos 4x = 2 is
(a) 0
(b) 1
(c) 2
(d) ∞
Answer► (a) 0
15. The number of pairs (x, y) satisfying the equations sin x + sin y = sin (x + y) and |x| + |y| = 1 is
(a) 0
(b) 2
(c) 4
(d) 6
Answer► (d) 6
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