Tangents are drawn to the parabola y^2=4...

Tangents are drawn to the parabola `y^2=4a x` at the point where the line `l x+m y+n=0` meets this parabola. Find the point of intersection of these tangents.

Text Solution

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CENGAGE ENGLISH|Exercise All Questions|886 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn to the circle x^2+y^2=9 at the points where it is met by the circle x^2+y^2+3x+4y+2=0 . Find the point of intersection of these tangents.

Tangents are drawn to the circle x^2+y^2=12 at the points where it is met by the circle x^2+y^2-5x+3y-2=0 . Find the point of intersection of these tangents.

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

Tangents are drawn to the circle x^(2)+y^(2)=9 at the points where it is cut by the line 4x+3y-9=0 then the point of intersection of tangents is

Tangents are drawn to the circle x^(2)+y^(2)=16 at the points where it intersects the circle x^(2)+y^(2)-6x-8y-8=0 , then the point of intersection of these tangents is

Statement-1: The tangents at the extremities of a focal chord of the parabola y^(2)=4ax intersect on the line x + a = 0. Statement-2: The locus of the point of intersection of perpendicular tangents to the parabola is its directrix

If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at Aa n dB , then find the locus of the point of intersection of the tangents at Aa n dBdot

Tangents are drawn at the ends of any focal chord of the parabola y^(2)=16x . Then which of the following statements about the point of intersection of tangents is true.

The angle between tangents to the parabola y^(2)=4x at the points where it intersects with the line x-y -1 =0 is

The angle between tangents to the parabola y^2=4ax at the points where it intersects with teine x-y-a = 0 is (a> 0)

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

Tangents are drawn from any point on the line x+4a=0 to the parabola y...
Text Solution
|
If a normal to a parabola y^2 =4ax makes an angle phi with its axis, t...
Text Solution
|
Tangents are drawn to the parabola y^2=4a x at the point where the lin...
Text Solution
|
Find the vertex of the parabola x^2=2(2x+y).
Text Solution
|
Find the length of the common chord of the parabola y^2=4(x+3) and th...
Text Solution
|
Find the coordinates of any point on the parabola whose focus is (0, 1...
Text Solution
|
If the focus and vertex of a parabola are the points (0, 2) and (0, 4)...
Text Solution
|
Find the length of the latus rectum of the parabola whose focus is at ...
Text Solution
|
The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the eq...
Text Solution
|
The vertex of a parabola is (2, 2) and the coordinats of its two ex...
Text Solution
|
Find the equation of the directrix of the parabola x^2-4x-3y+10=0.
Text Solution
|
Find the locus of the midpoint of chords of the parabola y^2=4a x that...
Text Solution
|
In the parabola y^2=4a x , then tangent at P whose abscissa is equal t...
Text Solution
|
If the normal to the parabola y^2=4a x at point t1 cuts the parabola a...
Text Solution
|
If the normals from any point to the parabola y^2=4x cut the line x=2 ...
Text Solution
|
If (h,k) is a point on the axis of the parabola 2{(x-1)^2 + (y-1)^2} =...
Text Solution
|
A ray of light moving parallel to the X-axis gets reflected from a par...
Text Solution
|
A circle and a parabola y^2=4a x intersect at four points. Show that t...
Text Solution
|
A parabola mirror is kept along y^2=4x and two light rays parallel to ...
Text Solution
|
If incident from point (-1,2) parallel to the axis of the parabola y^2...
Text Solution
|