## Question

### Solution

Correct option is Polar of P (x1y1) and Q (x2y2) w.r.t. are …. (1), … (2)

Slope of (2) is ,

Slope of (1) is (1) and (2) are at right angles ⇒ m1m2 = –1 #### SIMILAR QUESTIONS

Q1

The foci of a hyperbola coincide with the foci of the ellipse . The equation of the hyperbola if its eccentricity is 2, is

Q2

The normal to the rectangular hyperbola xy = c2 at the point ‘t’ meets the curve again at point “t” such that

Q3

PN is the ordinate of any point P on the hyperbola and AA’ is its transverse axis. If Q divides AP in the ratio a2 : b2, then NQ is

Q4

If SK perpendicular from focus S on th tangent at any point P of the hyperbola , then K lies on

Q5

The lines 2x + 3y + 4 = 0 and 3x – 2y + 5 = 0 may be conjugate w.r.t. the hyperbola if

Q6

The condition for two diameters of a hyperbola represented by Ax2 + 2Hxy + By2 = 0 to be conjugate is

Q7

The line 3x + 2y + 1 = 0 meets the hyperbola 4x2 – y2 = 4a2 in the points P and Q. The coordinates of point intersection of the tangents at and Qare

Q8

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis is

Q9

The number of tangents to the hyperbola through (4, 3) is

Q10

The equation of the hyperbola referred to it axes as axes of coordinates whose latus rectum is 4 and eccentricity is 3, is