Question

The point of intersection of two perpendicular tangents to  lies on the circle

Solution

Correct option is

x2 + ya2 – b2

It is fundamental.

SIMILAR QUESTIONS

Q1

If a circle cuts a rectangular hyperbola xy = c2 in A, B, C, D and the parameters of these four points be t1t2t3 and t4 respectively. Then

Q2

The locus of the middle point of the chords of hyperbola 3x2 – 2y2 + 4x – 6y = 0 parallel to y = 2x is

Q3

The equation of the conic with focus at (1, –1), directrix along – y + 1 = 0 and with eccentricity  is

Q4

The angle between the asymptotes of the hyperbola  is

Q5

If P is any point on the hyperbola , and Sand S2 are its foci, then | S1P – S2| =

Q6

The curve for which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is

Q7

 

The curve for which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is

 

Q8

 

The line P = x  become tangent to  if

 

Q9

The product of perpendicular drawn from any point on the hyperbola to its asymptotes is