Match the column: Column-II gives the local maximum/minimum of the function in Column-I Column-IColumn-II(i) (cos–1x)2 + (sin–1x)2[A] maximum(ii) cos–1x.sin–1x[B] minimum(iii) (cos–1x)3 – (sin–1x)3[C] maximum & minimum(iv) (cos–1x)3 + (sin–1x)3[D] neither maximum nor minimum

Match the column: Column-II gives the local maximum/minimum…

Maths Differentiation and Applications of Derivatives General Matrix Match Questions

Published on: August 14, 2026

Match the column:

Column-II gives the local maximum/minimum of the function in Column-I

Column-I	Column-II
(i) (cos–1x)2 + (sin–1x)2	[A] maximum
(ii) cos–1x.sin–1x	[B] minimum
(iii) (cos–1x)3 – (sin–1x)3	[C] maximum & minimum
(iv) (cos–1x)3 + (sin–1x)3	[D] neither maximum nor minimum

Correct Matrix Matching

Verified by Experts

The correct answer is:

(i) [B]; (ii) [A]; (iii) [D]; (iv) [B]

Ans.

(i) [B]

(ii) [A]

(iii) [D]

(iv) [B]

Sol.

(cos –1 x) 2 + (sin –1 x) 2

= 2(sin –1 x – ) 2 + has minimum at

x =

cos –1 x sin –1 x = sin –1 x – (sin –1 x) 2

= has maximum at

x =

<0.

Neither maximum nor minimum.

(cos –1 x) 3 + (sin –1 x) 3 = (sin

–1 x – ) 2 has minimum at x =

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