Chord of Contact: Hyperbola
Trending Questions
Q. Let chords of the circle x2+y2=a2 touch the hyperbola x2a2−y2b2=1. Then their middle points lie on the curve
- (x2−y2)=a2x2−b2y2
- (x2+y2)2=a2x2−b2y2
- (x2−y2)2=a2x2−b2y2
- (x2+y2)=a2x2−b2y2
Q.
Find the equation to the chord of contact of tangents drawn from a point p(4, 3) to the hyperbola
x216−y29=1
4x + 3y = 12
4x - 3y = 12
3x + 4y = 12
3x - 4y = 12
Q. From any point on the hyperbola x2a2−y2b2=1, tangents are drawn to the hyperbola x2a2−y2b2=2 . Then, area cut-off by the chord of contact on the asymptotes is equal to
- a/2 sq unit
- ab sq unit
- 2ab sq unit
- 4ab sq unit
Q. If x = 9 is the chord of contact of the hyperbola x2−y2=9, then the equation of the corresponding pair of tangents is
- 9x2−8y2+18x−9=0
- 9x2−8y2−18x+9=0
- 9x2−8y2−18x−9=0
- 9x2−8y2+18x+9=0