Match List-I with List-II
|
List-I |
List-II |
|
(A) Point of minima of $f(x) = |x+1|$ |
(I) 1 |
|
(B) Minimum value of $f(x) = |x|$ |
(II) -1 |
|
(C) Maximum value of $f(x) = 1-x^2$ |
(III) 2 |
|
(D) Minimum value of $f(x) = 2+ \sin^2x$ |
(IV) 0 |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
|
List-I |
List-II |
|
(A) Point of minima of $f(x) = |x+1|$ |
(II) -1 |
|
(B) Minimum value of $f(x) = |x|$ |
(IV) 0 |
|
(C) Maximum value of $f(x) = 1-x^2$ |
(I) 1 |
|
(D) Minimum value of $f(x) = 2+ \sin^2x$ |
(III) 2 |
(A) Point of minima of $f(x)=|x+1|$
Minimum occurs when $x+1=0$
$x=-1$
$(A)\rightarrow(II)$
(B) Minimum value of $f(x)=|x|$
Minimum value is $0$
$(B)\rightarrow(IV)$
(C) Maximum value of $f(x)=1-x^2$
Maximum occurs at $x=0$
Value $=1$
$(C)\rightarrow(I)$
(D) Minimum value of $f(x)=2+\sin^2 x$
Minimum of $\sin^2 x$ is $0$
Minimum value $=2$
$(D)\rightarrow(III)$
Final Matching: (A)-(II), (B)-(IV), (C)-(I), (D)-(III).