Embibe Experts Solutions for Chapter: Area under Curves, Exercise 2: EXERCISE-2

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Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Area under Curves, Exercise 2: EXERCISE-2

Attempt the free practice questions on Chapter 32: Area under Curves, Exercise 2: EXERCISE-2 with hints and solutions to strengthen your understanding. Beta Question Bank for Engineering: Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Area under Curves, Exercise 2: EXERCISE-2 with Hints & Solutions

EASY
JEE Main/Advance
IMPORTANT

The value of 'a' (a>0) for which the area bounded by the curves y=x6+1x2, y=0, x=a and x=2a has the least value, is -

HARD
JEE Main/Advance
IMPORTANT

Consider the following regions in the plane:

R1=x, y : 0x1 & 0y1 and R2=x, y : x2+y24/3.

The area of the region R1R2 can be expressed as a3+bπ9, where a and b are integers, then - 

HARD
JEE Main/Advance
IMPORTANT

The area of the region of the plane bounded by x,y1 and xy12 is

EASY
JEE Main/Advance
IMPORTANT

The line y=mx bisects the area enclosed by the curve y=1+4x-x2& the lines x=0, x=32 & y=0. Then the value of m is

EASY
JEE Main/Advance
IMPORTANT

 Area of the region enclosed between the curves  x=y2-1  and  x=|y|1-y2 is 

HARD
JEE Main/Advance
IMPORTANT

If the tangent to the curve y=1-x2 at x=α, where 0<α<1, meets the axes at P and Q. As α varies, the minimum value of the area of the triangle OPQ is k times the area bounded by the axes and the part of the curve for which 0<x<1, then k is equal to -

HARD
JEE Main/Advance
IMPORTANT

Let 'a' be a positive constant. Consider two curves C1: y=ex, C2: y=ea-x. Let S be the area of the part surrounding by C1, C2 and the y-axis, then -

HARD
JEE Main/Advance
IMPORTANT

If (a, 0) & (b, 0), [a, b>0] are the points where the curve y=sin2x-3sinx cuts the positive x-axis first & second time, A & B are the areas bounded by the curve & positive x-axis between x=0 to x=a and x=a to x=b respectively, then