Home
Class 12
MATHS
For what values of 'a' will the tangents...

For what values of 'a' will the tangents drawn to the parabola `y^2 = 4ax` from a point, not on the y-axis, will be normal to the parabola `x^2 = 4y.`

Text Solution

Verified by Experts

The correct Answer is:
`alt-2sqrt2oragt2sqrt2`
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL - I)|10 Videos

  • PARABOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL - I)(FILL IN THE BLANKS)|5 Videos

  • PARABOLA

    FIITJEE|Exercise EXERCISE 3|4 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The normals to the parabola y^(2)=4ax from the point (5a,2a) is/are

Equation of tangent to parabola y^(2)=4ax

The normal to parabola y^(2) =4ax from the point (5a, -2a) are

Prove that the tangents drawn on the parabola y^(2)=4ax at points x = a intersect at right angle.

Find the lengths of the normals drawn to the parabola y^(2)=8ax from a point on the axis of the parabola at distance 8a from the focus

If the tangents to the parabola y^(2)=4ax make complementary angles with the axis of the parabola then t_(1),t_(2)=

Find the equations of the tangent and normal to the parabola y^(2)=4ax at the point (at^(2),2at)

Three normals are drawn to the parabola y^(2) = 4x from the point (c,0). These normals are real and distinct when