Home
Class 12
MATHS
Find the points on the curve 4x^(2) + 9y...

Find the points on the curve `4x^(2) + 9y^(2) = 1`, where the tangents are perpendicular to the line 2y + x = 0.

Text Solution

Verified by Experts

The correct Answer is:
`((3)/(2 sqrt(10)), (-1)/(3 sqrt(10))) and ((-3)/(2 sqrt(10)),(1)/(3 sqrt(10)))`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - II LONG ANSWER TYPE QUESTIONS)|11 Videos
  • 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 - II (VERY SHORT ANSWER TYPE QUESTIONS )|4 Videos
  • AREA UNDER PLANE CURVES

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

Similar Questions

Explore conceptually related problems

Find the point (S) on the curve x=(3at)/(1+t^2) , y=(3at^2)/(1+t^2) where the tangent is perependicular to the line 4x+3y+5=0.

Find the points on the curve x^(2) + y^(2) - 2x - 3 = 0 at which the tangents are parallel to X-axis.

Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent is parallel to the x - axis.

Find the points on the curve (x^2)/(9)+(y^2)/(16)= 1 , at which the tangents are parallel to X-axis,

Find the points on the curve x^2+y^2-2x-4y+1=0, where the tangent is parallel to y-axis

Find the point on the curve y^2-x^2 + 2x-1 = 0 where the tangent is parallel to the x-axis.