Q28 / 53 · NTA Abhyas (JEE Main) 2020 · Mathematics · Ellipse

The line 2x+y=3 interesects the ellipse 4x2+y2=5 at two points. The point of intersection of the tangents to the ellipse at these points is

  • A
    56,56
  • B
    53,56
  • Correct answer
    C
    56,53
  • D
    53,53

Solution

Let the required point be h,k.

Now from this point, the equation of chord of contact to the ellipse is T=0

⇒4hx+ky=5 which is same as 2x+y=3
⇒4h2=k1=53⇒h=56, k=53
⇒ Point of intersection of the tangents is 56,53

Hence, the correct answer is option: 'C'.

More Ellipse Questions