Equation of Pair of Tangents: Ellipse
Trending Questions
Q. The locus of point of intersection of pair of tangents to the ellipse x2a2+y2b2=1, (a>b) if the sum of ordinates of their point of contact is half the length of minor axis, is
- x2a2+y2b2+2xa=0
- x2a2+y2b2+2yb=0
- x2a2+y2b2−2xa=0
- x2a2+y2b2−2yb=0
Q. The locus of point of intersection of pair of tangents to the ellipse x2a2+y2b2=1, (a>b) if the sum of ordinates of their point of contact is half the length of minor axis, is
- x2a2+y2b2+2xa=0
- x2a2+y2b2+2yb=0
- x2a2+y2b2−2xa=0
- x2a2+y2b2−2yb=0
Q. If tangents drawn to the ellipse at the parametric point θ, where tanθ=2 meets the auxillary circle at P and Q and PQ subtends rightangle at the centre of the ellipse, then eccentricity of the ellipse is
- √35
- 23
- √53
- 35
Q.
Find the equation of pair of tangents to the ellipse x225+y216=1 from (5, 4).
4x + 5y - xy = 20
4x + 5y - xy = 21
4x + 5y + xy = 40
5x + 4y + xy = 61