Home
Class 12
MATHS
Find the equation of the normal at a poi...

Find the equation of the normal at a point on the curve `x^(2) = 4y`, which passes through the point (1, 2). Also, find the equation of the corresponding tangent.

Text Solution

Verified by Experts

The correct Answer is:
`rArr" "y = x - 1`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - III (VERY SHORT ANSWER TYPE QUESTIONS )|3 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - III (SHORT ANSWER TYPE QUESTIONS )|9 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - II (SHORT ANSWER TYPE QUESTIONS)|9 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Find the equation of normal to the curve x^3 = 4y which passes through (1,2).

Find the equations of tangents to curve 3x^(2) - y^(2) = 8 , which passes through point ((4)/(3), 0)

Find the equations of tangent and normal to the curve y= e^(x) at x= 0.

Find equation of the sphere whose centre is (2,-3,4) and which passes through the point (1,2,-1) .

Find the equation of tangent to the curve x^2 + 3y = 3 which is parallel to y - 4x + 5 = 0

Find the equations of the tangent and normal to the curve x^(2//3) + y^(2//3) = 2 at (1, 1).

Find the equation of the curve whose slope is given by dy/dx=(2y)/x and which passes through (1,1).

Find the equations of the tangent and normal to the curve y= (log x)^2 at point x = 1/e .