1
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let f, g : R $$\to$$ R be two real valued functions defined as $$f(x) = \left\{ {\matrix{ { - |x + 3|} & , & {x < 0} \cr {{e^x}} & , & {x \ge 0} \cr } } \right.$$ and $$g(x) = \left\{ {\matrix{ {{x^2} + {k_1}x} & , & {x < 0} \cr {4x + {k_2}} & , & {x \ge 0} \cr } } \right.$$, where k1 and k2 are real constants. If (gof) is differentiable at x = 0, then (gof) ($$-$$ 4) + (gof) (4) is equal to :

A
$$4({e^4} + 1)$$
B
$$2(2{e^4} + 1)$$
C
$$4{e^4}$$
D
$$2(2{e^4} - 1)$$
2
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The sum of the absolute minimum and the absolute maximum values of the

function f(x) = |3x $$-$$ x2 + 2| $$-$$ x in the interval [$$-$$1, 2] is :

A
$${{\sqrt {17} + 3} \over 2}$$
B
$${{\sqrt {17} + 5} \over 2}$$
C
5
D
$${{9 - \sqrt {17} } \over 2}$$
3
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area bounded by the curve y = |x2 $$-$$ 9| and the line y = 3 is :

A
$$4(2\sqrt 3 + \sqrt 6 - 4)$$
B
$$4(4\sqrt 3 + \sqrt 6 - 4)$$
C
$$8(4\sqrt 3 + 3\sqrt 6 - 9)$$
D
$$8(4\sqrt 3 + 2\sqrt 6 - 9)$$
4
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let R be the point (3, 7) and let P and Q be two points on the line x + y = 5 such that PQR is an equilateral triangle. Then the area of $$\Delta$$PQR is :

A
$${{25} \over {4\sqrt 3 }}$$
B
$${{25\sqrt 3 } \over 2}$$
C
$${{25} \over {\sqrt 3 }}$$
D
$${{25} \over {2\sqrt 3 }}$$
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