Home
Class 12
MATHS
The normals at three points P,Q,R of the...

The normals at three points `P,Q,R` of the parabola `y^2=4ax` meet in `(h,k)` The centroid of triangle `PQR` lies on `(A) `x=0` (B) `y=0` (C) `x=-a` (D) `y=a`

A

x=0

B

y=0

C

x=-a

D

y=a

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : One or More than One Option Correct Type)|15 Videos
  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)|32 Videos
  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : One or More than One Option Correct Type)|6 Videos
  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|3 Videos
  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|5 Videos

Similar Questions

Explore conceptually related problems

Normals at points P, Q and R of the parabola y^(2)=4ax meet in a point. Find the equation of line on which centroid of the triangle PQR lies.

The normal at a point P on the parabola y^^2= 4ax meets the X axis in G.Show that P and G are equidistant from focus.

IF three distinct normals to the parabola y^(2)-2y=4x-9 meet at point (h,k), then prove that hgt4 .

IF three distinct normals to the parabola y^(2)-2y=4x-9 meet at point (h,k), then prove that hgt4 .

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

If the normals at the points (x_(1),y_(1)),(x_(2),y_(2)) on the parabola y^(2)=4ax intersect on the parabola then

The normals at P,R,R on the parabola y^(2)=4ax meet in a point on the line y=c . Prove that the sides of the triangle PQR touch the parabola x^(2)=2cy

Let P,Q,R be three points on a parabola, normals at which are concurrent, the centroid of Delta PQR must lie on

The point of intersection of the tangents of the parabola y^(2)=4x drawn at the endpoints of the chord x+y=2 lies on (a)x-2y=0 (b) x+2y=0( c) y-x=0 (d) x+y=0