Home
Class 12
MATHS
If from the vertex of a parabola y^2=4x...

If from the vertex of a parabola `y^2=4x` a pair of chords be drawn at right angles to one another andwith these chords as adjacent sides a rectangle be made, then the locus of the further end of the rectangle is

A

an equal parabola

B

a parabola with focus at (8a,0)

C

a parabola with directrix as x-7a=0

D

not a parabola

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|24 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 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

If from the vertex of the parabola y^(2)=4ax , a pair of chords be drawn at right angles to one another and with these chords as adjacent sides, a rectangle be drawn, prove that the locus of the vertex of the rectangle, farthest from origin, is the parabola y^(2)=4a(x-8a) .

Through the vertex O of a parabola y^(2) = 4x chords OP and OQ are drawn at right angles to one another. Show that for all position of P, PQ cuts the axis of the parabola at a fixed point.

Through the vertex O of the parabola y^(2)=4ax, variable chords O Pand OQ are drawn at right angles.If the variables chord PQ intersects the axis of x at R, then distance OR

Through the vertex 'O' of parabola y^(2)=4x chords OP and OQ are drawn at right angles to one another.Show that for all positions of P, PQ cuts the axis of the parabola at a fixixed point.Also find the locus of the middle point of PQ.

The normal chord of the parabola y^(2)=4ax subtends a right angle at the focus.Then the end point of the chord is

Through the vertex of the parabola y^(2)=4ax , chords OA and OB are drawn at right angles to each other . For all positions of the point A, the chord AB meets the axis of the parabola at a fixed point . Coordinates of the fixed point are :

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact is

The normal chord of the parabola y^(2)=4ax subtends a right angle at the vertex.Then the length of chord is