Home
Class 12
MATHS
(i) Find common tangent between curves y...

(i) Find common tangent between curves `y=x^(3) " and " 112x^(2) +y^(2) =112`
(ii) Find common normals of the curves `y=(1)/(x^(2)) " and "x^(2) +y^(2) -y=0`

Text Solution

Verified by Experts

The correct Answer is:
(i) y=12x -16 or y =12x +16 (ii) x-2y +1 = 0 or 2y +x -1=0
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1B|6 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1C|4 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Self Practice Problems|34 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

The common tangent of the curves y=x^2+(1)/(x) and y^(2)=4x is

The common tangent of the curves y=x^(2) +(1)/(x) " and " y^(2) =4 x is

Area common to the curve y=sqrt(9-x^(2)) and x^(2)+y^(2)=6x is

Find the area between the curves y=x^2 and x=y^2 .

Find the area between the curve y=x and y=x^2

The total number of common tangents to the curve y^(2)=4ax and x^(2)+y^(2)-2ax=0 is

The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(2) =4x are

Find the slope of the tangent to the curve y=x^(3)-xquad at x=2

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :