Match the following- array - WhineColumn-I-Column-IIMMhlineP If - the periodicity - of -tan- X - x - 1 - 2is k - then - frac 4 k pi is-lllhlineS One of the extreme values of-4 No fundamental period-l sin - 4 x -cos - 4 x - can be-lllhlinearray A- P-3- Q-1- R-2- S-4B- P-2- Q-1- R-2- S-3C- P-2- Q-1- R-3- S-2D- P-3- Q-1- R-2- S-3

The correct option is C P 2; Q 1; R 3; S 2Graph of tan x, cot x is: ∴ Periodicity is π/2 (Q) and (R) conceptual (S) sin^4x cos^4x=(sin^2x cos^2x) (sin^2x+cos ...

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Byju's Answer

Standard XII

Mathematics

Parametric Differentiation

Match the fol...

Question

Match the following.
$\begin{matrix} C o l u m n - I & C o l u m n - I I P) I f t h e p e r i o d i c i t y o f t a n x . c o t x & 1) 2 i s k t h e n \frac{2 k}{π} i s Q) I f t h e p e r i o d i c i t y o f c o s e c 2 θ - c o t^{2} 2 θ & 2) 1 i s k t h e n \frac{4 k}{π} i s R) M i n i m u m v a l u e o f 2 s i n x i s & 3) - 2 S) O n e o f t h e e x t r e m e v a l u e s o f & 4) N o f u n d a m e n t a l p e r i o d s i n^{4} x - c o s^{4} x c a n b e \end{matrix}$

P-3; Q-1; R-2; S-4

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P-2; Q-1; R-2; S-3

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P-2; Q-1; R-3; S-2

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P-3; Q-1; R-2; S-3

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Solution

The correct option is C P-2; Q-1; R-3; S-2
Graph of tan x, cot x is:

$∴$ Periodicity is $\frac{π}{2}$
(Q) and (R) conceptual
(S) $s i n^{4} x - c o s^{4} x = (s i n^{2} x - c o s^{2} x) (s i n^{2} x + c o s^{2} x)$
= $- c o s 2 x$
It’s maximum value is 1 and minimum value is -1.

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Match the following. Column−IColumn−IIP) If the periodicity of tan x.cot x1) 2is k then 2kπ isQ) If the periodicity of cosec2θ−cot22θ2) 1is k then 4kπ isR) Minimum value of 2sin x is3) −2S) One of the extreme values of4) No fundamental periodsin4x−cos4x can be

The correct option is C P-2; Q-1; R-3; S-2Graph of tan x, cot x is: ∴ Periodicity is π2 (Q) and (R) conceptual (S) sin4x−cos4x=(sin2x−cos2x)(sin2x+cos2x) = −cos2x It’s maximum value is 1 and minimum value is -1.

The correct option is C P-2; Q-1; R-3; S-2
Graph of tan x, cot x is:

$∴$ Periodicity is $\frac{π}{2}$
(Q) and (R) conceptual
(S) $s i n^{4} x - c o s^{4} x = (s i n^{2} x - c o s^{2} x) (s i n^{2} x + c o s^{2} x)$
= $- c o s 2 x$
It’s maximum value is 1 and minimum value is -1.