Trigonometric Functions and Equations PYQ — JEE Advanced 2008 · Shift 2 · Q44 with Solution

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

	Column I		Column II
(A)	The minimum value of ${{{x^2} + 2x + 4} \over {x + 2}}$ is	(P)	0
(B)	Let A and B be 3 $\times$ 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 $1 \lt {2^{( - k + 3 - a)}} \lt 2$ , must be less than	(R)	2
(D)	If $\sin \theta = \cos \varphi$ , then the possible values of ${1 \over \pi }\left( {\theta + \varphi - {\pi \over 2}} \right)$ are	(S)	3

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

More from Trigonometric Functions and Equations

The number of solutions of the pair of equations $2 sin^{2} θ - cos 2 θ = 02 cos^{2} θ - 3 sin θ = 0$ in the interval $[0, 2 π]$ is2007 · MCQ
Let $α = \frac{1}{s i n 6 0 ^{\circ} s i n 6 1 ^{\circ}} + \frac{1}{s i n 6 2 ^{\circ} s i n 6 3 ^{\circ}} + \dots + \frac{1}{s i n 11 8 ^{\circ} s i n 11 9 ^{\circ}}$ Then the value of $(\frac{cosec 1 ^{\circ}}{α})^{2}$ is …2025 · Numerical
Let $\frac{π}{2}$ $(sin \frac{11 x}{2}) (sin 6 x - cos 6 x) + (cos \frac{11 x}{2}) (sin 6 x + cos 6 x)$ $ is equal to :2024 · MCQ
Consider an obtuse angled triangle $A B C$ in which the difference between the largest and the smallest angle is $\frac{π}{2}$ and whose sides are in arithmetic progression. Suppose that the vertices of this triangle lie on a circle of…2023 · Numerical
Consider the following lists : The correct option is: Includes table2022 · MCQ
Let $α$ and $β$ be real numbers such that $- \frac{π}{4} < β < 0 < α < \frac{π}{4}$ . If $sin (α + β) = \frac{1}{3}$ and $cos (α - β) = \frac{2}{3}$ , then the greatest integer less than or equal to $(\frac{s i n α}{c o s β} + \frac{c o s β}{s i n α} + \frac{c o s α}{s i n β} + \frac{s i n β}{c o s α})^{2}$ …2022 · Numerical
Let $P QR S$ be a quadrilateral in a plane, where $QR = 1, ∠ P QR = ∠ QR S = 7 0^{\circ}, ∠ P QS = 1 5^{\circ}$ and $∠ P R S = 4 0^{\circ}$ . If $∠ R P S = θ^{\circ}, P Q = α$ and $P S = β$ , then the interval(s)…2022 · Multiple correct
For non-negative integers n, let $f (n) = \frac{k = 0 \sum n s i n ( \frac{k + 1}{n + 2} π ) s i n ( \frac{k + 2}{n + 2} π )}{k = 0 \sum n s i n ^{2} ( \frac{k + 1}{n + 2} π )}$ …2019 · Multiple correct

Trigonometric Functions and Equations question

Trigonometric Functions and Equations question

More from Trigonometric Functions and Equations

Trigonometric Functions and Equations question

Trigonometric Functions and Equations question

More from Trigonometric Functions and Equations