JEE Main 2019 (Online) 11th January Evening Slot | Area Under The Curves Question 85 | Mathematics

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

-1

The area (in sq. units) in the first quadrant bounded by the parabola, y = x² + 1, the tangent to it at the point (2, 5) and the coordinate axes is :

$${8 \over 3}$$

$${{14} \over 3}$$

$${{187} \over {24}}$$

$${{37} \over {24}}$$

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

-1

The area (in sq. units) of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is :

$${3 \over 4}$$

$${5 \over 4}$$

$${7 \over 8}$$

$${9 \over 8}$$

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

-1

If the area enclosed between the curves y = kx² and x = ky², (k > 0), is 1 square unit. Then k is -

$$\sqrt 3 $$

$${{\sqrt 3 } \over 2}$$

$${2 \over {\sqrt 3 }}$$

$${1 \over {\sqrt 3 }}$$

JEE Main 2019 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

The area of the region

A = {(x, y) : 0 $$ \le $$ y $$ \le $$x |x| + 1 and $$-$$1 $$ \le $$ x $$ \le $$1} in sq. units, is :

$${2 \over 3}$$

$${4 \over 3}$$

$${1 \over 3}$$

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