Home
Class 12
MATHS
If the normals at P, Q, R of the parabol...

If the normals at P, Q, R of the parabola `y^2=4ax` meet in O and S be its focus, then `.SP . SQ . SR = `

A

`2^(3)`

B

`a^(2)(SO')`

C

`a(SO')^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|1 Videos

  • PARABOLA

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|3 Videos

  • MATRICES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Subjective Type Problems|5 Videos

  • PERMUTATION AND COMBINATIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

If the normals at P,Q,R of the parabola y^(2)=4ax meet in O and S be its focus,then prove that.SP.SQ.SR=a.(SO)^(2)

If the tangents at the points P and Q on the parabola y^2 = 4ax meet at R and S is its focus, prove that SR^2 = SP.SQ .

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

If the tangents at the points P and Q on the parabola y^(2)=4ax meet at T, and S is its focus,the prove that ST,ST, and SQ are in GP.

The normal at P cuts the axis of the parabola y^(2)=4ax in G and S is the focus of the parabola.It Delta SPG is equilateral then each side is of length

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

IF the normals to the parabola y^2=4ax at three points P,Q and R meets at A and S be the focus , prove that SP.SQ.SR= a(SA)^2 .

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^(*)