Home
Class 12
MATHS
The vertices of triangleABC lie on a rec...

The vertices of `triangleABC` lie on a rectangular hyperbola such that the orhtocentre of the triangle is `(2, 3)` and the asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point (1, 1). Q. The number of real tangents that can be drawn from the point (1, 1) to the rectangular hyperbola is

A

a. `0`

B

b. `2`

C

c. `3`

D

d. `4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Hyperbola Exercise 8 : Matching Type Questions|2 Videos
  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The vertices of triangleABC lie on a rectangular hyperbola such that the orhtocentre of the triangle is (2,3) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point (1, 1). Q. The equation of the rectangular hyperbola is

If the normal to the rectangular hyperbola x^(2) - y^(2) = 4 at a point P meets the coordinates axes in Q and R and O is the centre of the hyperbola , then

Prove that the area of the triangle cut off from the coordinate axes by a tangent to a hyperbola is constant.

The distance of the origin from the normal drawn at the point (1,-1) on the hyperbola 4x^2-3y^2=1 is

The sum of the y - intercepts of the tangents drawn from the point (-2, -1) to the hyperbola (x^(2))/(3)-(y^(2))/(2)=1 is

The coordinates of a point on the rectangular hyperbola xy=c^2 normal at which passes through the centre of the hyperbola are

If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2) , then

A, B, C are three points on the rectangular hyperbola xy = c^2 , The area of the triangle formed by the points A, B and C is

The normal at three points P, Q, R on a rectangular hyperbola intersect at a point T on the curve. Prove that the centre of the hyperbola is the centroid of the triangle PQR.

The normal to the rectangular hyperbola xy = 4 at the point t_1 meets the curve again at the point t_2 Then