Match the Statements/Expressions in Column I with the Statements/Expressions in Column II. | Column I | Column II | |----------------------------------------------------------------------------------------------------|-----------| | (A) The minimum value of $$\frac{x^2 + 2x + 4}{x + 2}$$ is | (P) 0 | | (B) Let A and B be 3 × 3 matrices of real numbers, where A is symmetric, B is skew-symmetric and (A + B) (A − B) = (A − B) (A + B). If (AB)^t = (−1)^k AB, where (AB)^t is the transpose of the matrix AB, then the possible values of k are | (Q) 1 | | (C) Let $$a=\log_3\log_3 2$$. An integer k satisfying $$1 < {2^{( - k + 3 - a)}} < 2$$, must be less than | (R) 2 | | (D) If $$\sin \theta = \cos \varphi $$, then the possible values of $$\frac{1}{\pi}(\theta + \varphi)$$ are | |

A - iii; B - ii, iv; C - iii, iv; D - i, iii

Match the statements/expressions in Column I with the values given in Column II: | | Column I | | Column II | |---|----------|---|-----------| | (A) | Root(s) of the expression $$2{\sin ^2}\theta + {\sin ^2}2\theta = 2$$ | (P) | $${\pi \over 6}$$ | | (B) | Points of discontinuity of the function $$f(x) = \left[ {{{6x} \over \pi }} \right]\cos \left[ {{{3x} \over \pi }} \right]$$, where $$[y]$$ denotes the largest integer less than or equal to y | (Q) | $${\pi \over 4}$$ | | (C) | Volume of the parallelopiped with its edges represented by the vectors $$\widehat i + \widehat j + \widehat i + 2\widehat j$$ and $$\widehat i + \widehat j + \pi \widehat k$$ | (R) | $${\pi \over 3}$$ | | (D) | Angle between vectors $$\overrightarrow a $$ and $$\overrightarrow b $$, where $$\overrightarrow a = \widehat i + \widehat j + \widehat k$$ and $$\overrightarrow b = \widehat i - \widehat j + \widehat k$$ | (S) | $${\pi \over 2}$$ |

(A)$$\to$$(Q), (S); (B)$$\to$$(P), (R), (S), (T); (C)$$\to$$(T); (D)$$\to$$(R)

JEE Advanced · Quantitative Aptitude

JEE Advanced Trigonometric Functions And Equations Questions with Answers and Solutions

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Match the Statements/Expressions in Column I with the Statements/Expressions in Column II.

Column I	Column II
(A) The minimum value of $\frac{x^2 + 2x + 4}{x + 2}$ is	(P) 0
(B) Let A and B be 3 × 3 matrices of real numbers, where A is symmetric, B is skew-symmetric and ( $A + B$ ) $(A - B) = (A - B)$ ( $A + B$ ). If (AB)^ $t = ( - 1)$ ^k AB, where (AB)^t is the transpose of the matrix AB, then the possible values of k are	(Q) 1
(C) Let $a=\log_3\log_3 2$ . An integer k satisfying $1 < {2^{( - k + 3 - a)}} < 2$ , must be less than	(R) 2
(D) If $$\sin \theta = \cos \varphi $$, then the possible values of $\frac{1}{\pi}(\theta + \varphi)$ are

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JEE Advanced Trigonometric Functions And Equations practice FAQ

Can I solve these JEE Advanced Trigonometric Functions And Equations questions for free?

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Signup unlocks the full JEE Advanced Trigonometric Functions And Equations topic test, saved attempts, performance analysis, Maya AI doubt-chat, friend challenges and a personalised study plan.

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Yes. Every question here carries a worked solution so you understand the method, not just the final answer.

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JEE Advanced Trigonometric Functions And Equations practice

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JEE Advanced Trigonometric Functions And Equations practice FAQ

Prepare together, not alone

JEE Advanced Trigonometric Functions And Equations practice

What visitors can use on this page

JEE Advanced Trigonometric Functions And Equations practice FAQ