Home
Class 12
MATHS
Find the angle of intersection of the cu...

Find the angle of intersection of the curves y`=4-x^(2)` and `y=x^(2)`

Text Solution

AI Generated Solution

To find the angle of intersection of the curves \( y = 4 - x^2 \) and \( y = x^2 \), we will follow these steps: ### Step 1: Find the derivatives of the curves The first curve is \( y = x^2 \). - The derivative \( \frac{dy}{dx} \) for this curve is: \[ \frac{dy}{dx} = 2x \] ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT EXEMPLAR ENGLISH|Exercise Long answer types questions|10 Videos
  • APPLICATION OF DERIVATIVES

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPES QUESTIONS|25 Videos
  • APPLICATION OF INTEGRALS

    NCERT EXEMPLAR ENGLISH|Exercise Objective Type Questions|22 Videos

Similar Questions

Explore conceptually related problems

Find the angle of intersection of the curves 2y^(2) = x^(3) and y^(2) =32x .

Find the angle of intersection of the curves y^2=xandx^2=y

Find the angle of intersection of curve y=4-x^2 and y=x^2

Find the angle of intersection of the curves y^2=4a x and x^2=4b y .

find the angle of intersection of the curve xy=6 and x^2y=12

Find the angle of intersection of curve y=x^2 and x^2+y^2=20

The acute angle of intersection of the curves x^(2)y=1 and y=x^(2) in the first quadrant is theta , then tan theta is equal to

Find the angle of intersection of the curves x y=a^2a n dx^2+y^2=2a^2

Find the angle of intersection of the curves x y=a^2a n dx^2+y^2=2a^2

Find the angle of intersection of curve 2y^2=x^3 and y^2=32 x