Home
Class 12
MATHS
Find area bounded by curves y = sqrt(2-x...

Find area bounded by curves `y = sqrt(2-x^(2))` and y = |x|.

Text Solution

AI Generated Solution

To find the area bounded by the curves \( y = \sqrt{2 - x^2} \) and \( y = |x| \), we can follow these steps: ### Step 1: Understand the curves The curve \( y = \sqrt{2 - x^2} \) represents the upper half of a circle with radius \( \sqrt{2} \) centered at the origin. The equation can be rewritten as \( x^2 + y^2 = 2 \). The curve \( y = |x| \) consists of two lines: \( y = x \) for \( x \geq 0 \) and \( y = -x \) for \( x < 0 \). ### Step 2: Find the points of intersection ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|4 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - A Competition Level Questions|24 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-J (Aakash Challengers Questions )|8 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

Find the area bounded by the curves y=sqrt(1-x^(2)) and y=x^(3)-x without using integration.

Find the area bounded by curve y = x^(2) - 1 and y = 1 .

Find the area bounded by the curves y=6x -x^(2) and y= x^(2)-2x

If A is the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x , then of pi/Adot

If A is the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x , then of pi/Adot

Find the area bounded by the curves x = |y^(2)-1| and y = x- 5

The area bounded by the curves y=-x^(2)+2 and y=2|x|-x is

Find the area bounded by curves {(x ,y):ygeqx^2 and y = | x |}

Sketch the region bounded by the curves y=sqrt(5-x^2) and y=|x-1| and find its area.

Using integration , find the area bounded between the curve y = x^(2) and y=- |x| + 2