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|Exercise Exercise (Passage Based Questions)|23 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

The focus of the parabola y^2= 4ax is :

The directrix of the parabola y^2=4ax is :

Let P,Q,R be three points on a parabola y^2=4ax , normals at which are concurrent. The centroid of the ΔPQR must lie on

Let P and Q be distinct points on the parabola y^2 = 2x such that a circle with PQ as diameter passes through the vertex O of the parabola. If P lies in the first quadrant and the area of the triangle Delta OPQ is 3 sqrt 2 , then which of the following is (are) the coordinates of P?

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

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

Let P be the point on the parabola y^(2)4x which is at the shortest distance from the center S of the circle x^(2)+y^(2)-4x-16y+64=0 . Let Q be the point on the circle dividing the line segment SP internally. Then

Let A and B be two distinct points on the parabola y^2=4x . If the axis of the parabola touches a circle of radius r having AB as its diameter, then find the slope of the line joining A and B .

The locus of the middle points of normal chords of the parabola y^2 = 4ax is-