Home
Class 12
MATHS
Three normals are drawn from the point (...

Three normals are drawn from the point (a,0) to the parabola `y^2=x`. One normal is the X-axis . If other two normals are perpendicular to each other , then the value of 4a is

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise PARABOLA EXERCISE 5|2 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|23 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

Three normals are drawn from the point (14,7) to the curve y^2-16x-8y=0 . Find the coordinates of the feet of the normals.

Statement I two perpendicular normals can be drawn from the point (5/2,-2) to the parabola (y+1)^2=2(x-1) . Statement II two perpendicular normals can be drawn from the point (3a,0) to the parabola y^2=4ax .

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is

If the straight lines joining origin to the points of intersection of the line x+y=1 with the curve x^2+y^2 +x-2y -m =0 are perpendicular to each other , then the value of m should be

Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from where three distinct normals can be drawn.

The normal at the point (1,1) on the curve 2y + x^2 = 3 is: