Point Form of Normal: Ellipse
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Q. If the normal at the end of latus rectum of an ellipse x2a2+y2b2=1 of eccentricity e passes through one end of the minor axis then e4+e2=
Q. C is the centre of the ellipse x2a2+y2b2=1 and L is an end of a latus rectum. If the normal at L meets the major axis in G, then CG =
Q.
Find the equation of a normal to the ellipse x216+y29=2 at the point (4, 3).
4x - 3y = 7
4x + 3y = 25
3x - 4y = 0
3x + 4y = 24
Q.
What is the equation of normal to the ellipse
x225+y216=2 at (5, 4).
5x - 4y = 9
4x - 5y = 0
4x + 5y = 40
5x + 4y = 41
Q. How many tangents to the circle x2+y2=3 are there which are normal to the ellipse x29+y24=1
- 2
- 1
- 3
- 0
Q. The eccentricity of an ellipse with center at the origin is 12 if one of its directrices is x=-4, then the equation of the normal to it at (1, 32) is
- 4x+2y=7
- x+2y=4
- 4x-2y=1
- 2y-x=2
Q. The equation of the normal to the ellipse x218+y28=1 at the point (3, 2) is .
- 3x - 2y = 5
- 3x + 2y = 5
- 2x - 3y = 5
- 2x + 3y = 5