HARD
JEE Main/Advance
IMPORTANT
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If C1y=11+x2 and C2y=x22 be two curves lying in xy plane. Then 

 

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Important Questions on Area under Curves

HARD
JEE Main/Advance
IMPORTANT
Area enclosed by the curves y=lnx; y=lnx; y=lnx and y=lnx is equal to 
HARD
JEE Main/Advance
IMPORTANT

y=f(x)  is a function which satisfies

(i) f(0)=0 

ii f''x=f'x and

(iii) f'(0)=1.

Then, the area bounded by the graph of  y=f(x), the lines x=0, x-1=0 and y+1=0, is

HARD
JEE Main/Advance
IMPORTANT

Let T be the triangle with vertices 0, 0, 0, c2 and c, c2 and let R be the region between y=cx and y=x2 where c>0 then 

MEDIUM
JEE Main/Advance
IMPORTANT
Suppose gx=2x+1, hx=4x2+4x+5 and hx=fogx. The area enclosed by the graph of the function y=fx and the pair of tangents drawn to it from the origin, is
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