Question

D Statement-1 is false but Statement-2 is true. 48. Match the following columns and select the correct option. Column I Column II P. If $\alpha$, $\beta$ are the solutions of (i) $\alpha - \beta = \pi$ sin $x = \frac{1}{2}$ in $[0, 2\pi]$ and $\alpha$, $\gamma$ are the solutions of cos $x = -\frac{\sqrt{5}}{2}$ in $[0, 2\pi]$, then Q. If $\alpha$, $\beta$ are the solutions of (ii) $\beta - \gamma = \pi$ cot $x = \sqrt{3}$ in $[0, 2\pi]$ and $\alpha$, $\gamma$ are the solutions of cosec $x$ $= -2$ in $[0, 2\pi]$, then R. If $\alpha$, $\beta$ are the solutions of (iii) $\alpha - \gamma = \pi$ sin $x = \frac{1}{2}$ in $[0, 2\pi]$ and $\alpha$, $\gamma$ are the solutions of tan $x = \frac{1}{\sqrt{3}}$ in $[0, 2\pi]$, then (iv) $\alpha + \beta = 3\pi$ (v) $\beta + \gamma = 2\pi$ A. P - (ii), (iv); Q - (i), (v); R - (iii), (iv), (v) B. P - (ii), (v); Q - (ii), (iii); R - (ii), (iii), (v) C. P - (i), (iii); Q - (i), (iv); R - (ii), (v) D. P - (i), (iv), (v); Q - (ii), (iii); R - (i), (iv) SPACE FOR ROUGH WORK

          D
Statement-1 is false but Statement-2 is true.
48. Match the following columns and select the correct
option.
Column I
Column II
P. If $\alpha$, $\beta$ are the solutions of (i) $\alpha - \beta = \pi$
sin $x = \frac{1}{2}$ in $[0, 2\pi]$ and
$\alpha$, $\gamma$ are the solutions of
cos $x = -\frac{\sqrt{5}}{2}$ in $[0, 2\pi]$, then
Q. If $\alpha$, $\beta$ are the solutions of (ii) $\beta - \gamma = \pi$
cot $x = \sqrt{3}$ in $[0, 2\pi]$ and $\alpha$,
$\gamma$ are the solutions of cosec $x$
$= -2$ in $[0, 2\pi]$, then
R. If $\alpha$, $\beta$ are the solutions of (iii) $\alpha - \gamma = \pi$
sin $x = \frac{1}{2}$ in $[0, 2\pi]$ and
$\alpha$, $\gamma$ are the solutions of
tan $x = \frac{1}{\sqrt{3}}$ in $[0, 2\pi]$, then
(iv) $\alpha + \beta = 3\pi$
(v) $\beta + \gamma = 2\pi$
A. P - (ii), (iv); Q - (i), (v); R - (iii), (iv), (v)
B. P - (ii), (v); Q - (ii), (iii); R - (ii), (iii), (v)
C. P - (i), (iii); Q - (i), (iv); R - (ii), (v)
D. P - (i), (iv), (v); Q - (ii), (iii); R - (i), (iv)
SPACE FOR ROUGH WORK

D
Statement-1 is false but Statement-2 is true.
48. Match the following columns and select the correct
option.
Column I
Column II
P. If α, β are the solutions of (i) α - β = π
sin x = (1)/(2) in [0, 2π] and
α, γ are the solutions of
cos x = -(√(5))/(2) in [0, 2π], then
Q. If α, β are the solutions of (ii) β - γ = π
cot x = √(3) in [0, 2π] and α,
γ are the solutions of cosec x
= -2 in [0, 2π], then
R. If α, β are the solutions of (iii) α - γ = π
sin x = (1)/(2) in [0, 2π] and
α, γ are the solutions of
tan x = (1)/(√(3)) in [0, 2π], then
(iv) α + β = 3π
(v) β + γ = 2π
A. P - (ii), (iv); Q - (i), (v); R - (iii), (iv), (v)
B. P - (ii), (v); Q - (ii), (iii); R - (ii), (iii), (v)
C. P - (i), (iii); Q - (i), (iv); R - (ii), (v)
D. P - (i), (iv), (v); Q - (ii), (iii); R - (i), (iv)
SPACE FOR ROUGH WORK

Added by Jamie G.

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