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MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - JEE MCQ


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10 Questions MCQ Test - MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2)

MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) for JEE 2024 is part of JEE preparation. The MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) questions and answers have been prepared according to the JEE exam syllabus.The MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) below.
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MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 1

Find real values of x for which, 27cos 2x . 81sin 2x is minimum. Also find this minimum value. [REE 2000, 3]

 


MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 2

Solve the following system of equation for x and y  and . [REE 2001 (mains), 3]


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MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 3

The number of integral values of k for which the equation 7 cos x + 5 sin x = 2k + 1 has a solution is                 [JEE 2002 (Screening), 3]

MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 4

cos(a – b) = 1 and cos(a + b) = 1/e, where a, b Î [–p, p], number of pairs of a, b which satisfy both the equations is       [JEE 2005 (Screening)]

MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 5

 If 0 < q < 2p, then the intervals of values of q for which 2 sin2q – 5sinq + 2 > 0, is     [JEE 2006, 3]

MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 6

The number of solutions of the pair of equations 2sin2q – cos 2q = 0 and 2cos2 q – 3 sin q = 0 in the interval [0, 2p] is       [JEE 2007, 3]

*Multiple options can be correct
MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 7

For 0 < q < p/2, then solution(s) of  (q + (m –1)p/4) cosec(q + mp/4) = 4 is(are)     [JEE 2009]

MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 8

 The number of values of q in the interval  such that  for n=0, ±1, ±2 and tanq = cot 5q as well as sin2q = cos4q is         [JEE 2010]


MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 9

The number of all possible values of q when qÎ(0, p) for which the system of equation      [JEE 2010]

(y + z) cos 3q = (xyz) sin 3q

x sin3q =  (xyz) sin 3q = (y + 2z)cos 3q + y sin 3q have a solution (x0, y0, z0) with y0,z0 ¹ 0 is


MCQ (Previous Year Questions) - Trigonometric Equations (Competition Level 2) - Question 10

 Let P = {q : sin q – cos q =  cos q} and Q = {q : sin q + cos q =  sin q} be two sets. Then                  [JEE 2011]

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