Home
Class 12
MATHS
Let P , Q and R are three co-normal poin...

Let P , Q and R are three co-normal points on the parabola `y^2=4ax`. Then the correct statement(s) is /at

A

algebraic sum of the slopes of the normals at P,Q and R vanishes

B

algebraic sum of the ordinates of the points P,Q and R vanishes

C

centeroid of the traingle PQR lies on the axis of the parabola

D

Circle cicrcumscribing the traingle PQR passes through the vertex of the parabola.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|24 Videos

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos

  • PARABOLA

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

  • PAIR OF STRAIGHT LINES

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

  • PERMUTATIONS AND COMBINATIONS

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

Similar Questions

Explore conceptually related problems

Length of the shortest normal chord of the parabola y^2=4ax is

Let P (a, b) and Q(c, d) are the two points on the parabola y^2=8x such that the normals at them meet in (18, 12). Then the product (abcd) is:

Three normals drawn from a point (h k) to parabola y^2 = 4ax

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

If P, Q, R are three points on a parabola y^2=4ax whose ordinates are in geometrical progression, then the tangents at P and R meet on :

If P, Q, R are three points on a parabola y^2=4ax whose ordinates are in geometrical progression, then the tangents at P and R meet on :

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

If PQ and Rs are normal chords of the parabola y^(2) = 8x and the points P,Q,R,S are concyclic, then

From a point (sintheta,costheta) , if three normals can be drawn to the parabola y^(2)=4ax then the value of a is

If P(at_(1)^(2), 2at_(1))" and Q(at_(2)^(2), 2at_(2)) are two points on the parabola at y^(2)=4ax , then that area of the triangle formed by the tangents at P and Q and the chord PQ, is