JEE Main 2020 (Online) 5th September Evening Slot | Application of Derivatives Question 56 | Mathematics

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JEE Main 2020 (Online) 5th September Evening Slot

MCQ (Single Correct Answer)

-1

Which of the following points lies on the tangent to the curve
x⁴e^y + 2$$\sqrt {y + 1} $$ = 3 at the point (1, 0)?

(2, 2)

(–2, 4)

(2, 6)

(–2, 6)

JEE Main 2020 (Online) 5th September Evening Slot

MCQ (Single Correct Answer)

-1

If x = 1 is a critical point of the function
f(x) = (3x² + ax – 2 – a)e^x , then :

x = 1 is a local maxima and x = $$ - {2 \over 3}$$ is a local minima of f.

x = 1 and x = $$ - {2 \over 3}$$ are local maxima of f.

x = 1 and x = $$ - {2 \over 3}$$ are local minima of f.

x = 1 is a local minima and x = $$ - {2 \over 3}$$ is a local maxima of f.

JEE Main 2020 (Online) 5th September Morning Slot

MCQ (Single Correct Answer)

-1

If the point P on the curve, 4x² + 5y² = 20 is
farthest from the point Q(0, -4), then PQ² is equal to:

JEE Main 2020 (Online) 4th September Evening Slot

MCQ (Single Correct Answer)

-1

The minimum value of 2^sinx + 2^cosx is:

$${2^{-1 + \sqrt 2 }}$$

$${2^{1 - {1 \over {\sqrt 2 }}}}$$

$${2^{1 - \sqrt 2 }}$$

$${2^{-1 + {1 \over {\sqrt 2 }}}}$$

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