Home
Class 12
MATHS
Let the straight line x=b divide the are...

Let the straight line x=b divide the area enclosed by `y=(1-x)^2, y=0` and x=0 into two parts `R_1 (0 le x le b)` and `R_2(b le x le 1)` such that `R_1-R_2=1/4` .Then b equals :

A

`3/4`

B

`1/2`

C

`1/3`

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos
  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL - II)|21 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos

Similar Questions

Explore conceptually related problems

Let the straight line x =b divide the area enclosed by y=(1-x)^(2) y=0 and x=0 in to parts R_(1)(0 le x le b) and R_(2) (b le x le 1) such that R_(1)-R_(2)=1/4 then b equals

If |x-2|le 1 , then

Area enclosed by 2|x|+3|y| le 6 is :

If |x -2| le 1 , then

Find the area of the region {(x,y) : 0 le y le x^(2), 0 le y le x + 2, 0 le x le 3} .

The area (in sq. units) of the region described by : {(x,y): y^2 le 2x and y ge 4x -1 } is :

If 0 le x le 1 and theta = sin^(-1) x + cos^(-1) x - tan^(-1) x , then

The area of the region described by : A={(x,y): x^2 +y^2 le 1 and y^2 le 1 -x } is :

Let f(x) = {{:((sqrt(1+ax)-sqrt(1-ax))/(x),,-1 le x lt 0),((2x + 1)/(x-2),,0 le x le 1):} is continuous in [-1, 1]. Then a equals :