Find the locus of the point of intersect...

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola `y^2=4a xdot`

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

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola x^2-y^2=a^2 is a^2(y^2-x^2)=4x^2y^2dot

Prove that the locus of the point of intersection of the normals at the ends of a system of parallel cords of a parabola is a straight line which is a normal to the curve.

Find the locus of points of intersection of tangents drawn at the end of all normal chords to the parabola y^2 = 8(x-1) .

The locus of the point of intersection of tangents drawn at the extremities of a focal chord to the parabola y^2=4ax is the curve

The locus of the point of intersection of normals at the points drawn at the extremities of focal chord the parabola y^2= 4ax is

The locus of the point of intersection of tangents drawn at the extremities of a normal chord to the parabola y^2=4ax is the curve

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , is

Prove that the locus of the point of intersection of tangents at the ends of normal chords of hyperbola x^(2)-y^(2)=a^(2)" is "a^(2) (y^(2)-x^2)=4x^2y^(2)

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is

Find the locus of the point of intersection of two mutually perpendicular normals to the parabola y^2=4ax and show that the abscissa of the point can never be smaller than 3a. What is the ordinate

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

If a focal chord of y^2=4a x makes an angle alpha in [0,pi/4] with the...
Text Solution
|
Find the length of the normal chord which subtends an angle of 90^@ at...
Text Solution
|
Find the locus of the point of intersection of the normals at the end ...
Text Solution
|
The abscissa and ordinates of the endpoints Aa n dB of a focal chord o...
Text Solution
|
If A B is a focal chord of x^2-2x+y-2=0 whose focus is S and A S=l1, t...
Text Solution
|
A circle is drawn to pass through the extremities of the latus rectum ...
Text Solution
|
Circles drawn on the diameter as focal distance of any point lying on...
Text Solution
|
If the length of a focal chord of the parabola y^2=4a x at a distance ...
Text Solution
|
Find the equation of the parabola whose focus is S(-1,1) and directrix...
Text Solution
|
If x^2 + y^2 = log(xy) , find dy/dx .
Text Solution
|
If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , the...
Text Solution
|
Prove that the length of the intercept on the normal at the point P(a ...
Text Solution
|
Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+3...
Text Solution
|
If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distan...
Text Solution
|
Three normals to y^2=4x pass through the point (15, 12). Show that one...
Text Solution
|
Find the locus of the point from which the two tangents drawn to the ...
Text Solution
|
Find the angle between the tangents drawn from the origin to the parab...
Text Solution
|
Find the locus of the point of intersection of the perpendicular ta...
Text Solution
|
Three normals are drawn from the point (7, 14) to the parabola x^2-8x-...
Text Solution
|
Find the equation of normal to the parabola y=x^2-x-1 which has equal ...
Text Solution
|