Two mutually perpendicular tangents of t...

Two mutually perpendicular tangents of the parabola `y^(2)=4ax` meet the axis at `P_(1)andP_(2)`. If S is the focal of the parabola, Then `(1)/(SP_(1))+(1)/(SP_(2))` is equal to

`1/(4a)`

`1/a`

`2/a`

`4/a`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PARABOLA
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
PARABOLA
ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|24 Videos
PARABOLA
ARIHANT MATHS|Exercise Exercise For Session 2|25 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

Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the axis at P_(1)andP_(2). If S is the focus of the parabola,then (1)/(SP_(1)) is equal to (4)/(a) (b) (2)/(1) (c) (1)/(a) (d) (1)/(4a)

Two mutually perpendicular tangents of the parabola y^(2)=4ax at the points Q_(1) and Q_(2) on it meet its axis in P_(1) and P_(2) . If S is the focus of the parabola, then the value of ((1)/(SP_(1))+(1)/(SP_(2)))^(-1) is equal

If the line px+qy=1 is a tangent to the parabola y^(2)=4ax. then

If the tangents to the parabola y^(2)=4ax make complementary angles with the axis of the parabola then t_(1),t_(2)=

If the line px + qy =1 is a tangent to the parabola y^(2) =4ax, then

If the tangent at P on y^(2)=4ax meets the tangent at the vertex in Q and S is the focus of the parabola,then /_SQP is equal to

The length of the perpendicular from the focus s of the parabola y^(2)=4ax on the tangent at P is

Let Q be the foot of the perpendicular from the origin O to the tangent at a point P(alpha, beta) on the parabola y^(2)=4ax and S be the focus of the parabola , then (OQ)^(2) (SP) is equal to

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

If the tangents to the parabola y^2=4ax at the points (x_1,y_1) and ( (x_2,y_2) meet at the point (x_3,y_3) then

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)

If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...
Text Solution
|
A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...
Text Solution
|
Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...
Text Solution
|
If the normals to the parabola y^2=4a x at P meets the curve again at ...
Text Solution
|
If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be...
Text Solution
|
Length of the shortest normal chord of the parabola y^2=4ax is
Text Solution
|
The largest value of a for which the circle x^2 +y^2 = a^2 falls total...
Text Solution
|
From a point (sintheta,costheta), if three normals can be drawn to the...
Text Solution
|
If two different tangents of y^2=4x are the normals to x^2=4b y , then
Text Solution
|
The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...
Text Solution
|
Normals at two points (x1,x2) and (x2,y2) of the parabola y^2=4x meet ...
Text Solution
|
A line is drawn from A(-2,0) to intersect the curve y^2 = 4x in P and ...
Text Solution
|
An equilateral triangle SAB in inscribed in the parabola y^2 = 4ax hav...
Text Solution
|
C is the centre of the circle with centre (0,1) and radius unity. y=ax...
Text Solution
|
Let S be the focus of y^2=4x and a point P be moving on the curve such...
Text Solution
|
If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...
Text Solution
|
Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...
Text Solution
|
Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...
Text Solution
|
A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to...
Text Solution
|
If the fourth term in the expansion of (px+1/x)^n is 5/2, then (n,p)...
Text Solution
|