The locus of the point of intersection o...

The locus of the point of intersection of a pair of perpendicular tangents to an ellipse is a/an-

parabola

ellipse

hyperbola

circle

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MCQ ZONE 3
CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
MCQ ZONE 3
CHHAYA PUBLICATION|Exercise Question Paper 6|30 Videos
MCQ ZONE
CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
MCQ's
CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of two perpendicular tangents to the ellipse (x^(2))/(9) +(y^(2))/(4)=1 is -

If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is 120^0 and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be (a) x^2+y^2=6 (b) x^2+y^2=9 x^2+y^2=3 (d) x^2+y^2=18

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

If a tangent to the parabola y^2 = 4ax intersects the x^2/a^2+y^2/b^2= 1 at A and B , then the locus of the point of intersection of tangents at A and B to the ellipse is

O(0,0) and A(4,4) are two given points and B is any point. Find the equation to the locus of the point of intersection of the perpendicular bisector of bar (OB) and bar (AB) .

Find the locus of the point of intersection of tangents to the ellipse if the difference of the eccentric angle of the points is (2pi)/3dot

Prove that the chords of contact of pairs of perpendicular tangents to the ellipse x^2/a^2+y^2/b^2=1 touch another fixed ellipse.

If the perpendicular drawn on x-axis from the point of intersection of both ogives, the abscissa of the point of intersection of this penpendicular with the x-axis will be the median.

The locus of the point of intersection of the tangents to the circle x^2+ y^2 = a^2 at points whose parametric angles differ by pi/3 .

Find the locus of the point of intersection of two normals to a parabolas which are at right angles to one another.

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 7

Let f(x) be non- negative continuous function such that the area bound...
Text Solution
|
If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y ...
Text Solution
|
The locus of the point of intersection of a pair of perpendicular tang...
Text Solution
|
The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - ...
Text Solution
|
If the focal chord of y^(2)=16x is a tangent to the circle (x-6)^(2) +...
Text Solution
|
The area (in square unit ) bounded by the curves y= |x| - 1 and y= ...
Text Solution
|
If the normal at the point ( bt(1)^(2), 2 bt(1)) to the parabola y^(2...
Text Solution
|
The line y= mx +c touches the hyperbola b^(2) x^(2) - a^(2) y^(2) = a...
Text Solution
|
The least value of the sum of any positive real number and its recipro...
Text Solution
|
The function f(x)= x^((1)/(x)) is-
Text Solution
|
If the chord of contact of tangents from a point on the circle x^(2) +...
Text Solution
|
The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a ...
Text Solution
|
The length of the rectangle of maximum area that can be inscribed in a...
Text Solution
|
If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(...
Text Solution
|
The minimum value of 4e^(2x) + 9e^(-2x) is-
Text Solution
|
Suppose the function f(x) is defined as follows : f(x)= x(x-1)(x-2)...
Text Solution
|
The pressure p and the volume v of a gas are connected by the relation...
Text Solution
|
The population of a country doubles in 50 years. Assuming that the rat...
Text Solution
|
Let y= f(x) be the function, which passes through (1, 2) and has slop...
Text Solution
|
The radius of a cylinder is increasing at the rate of 3 m/s and its a...
Text Solution
|