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Q.) The normal at a variable point P on the ellipse x²/a² + y²/b² = 1 of eccentricity e meets the axes of the ellipse at Q and R, then the locus of the midpoint of Q & R is a conic with an eccentricity e' such that
[A]
e' is independent of e
[B]
e' = 1
[C]
e' = e'
[D]
e' =1/e
[A] e' is independent of e
[B] e' = 1
[C] e' = e'
[D] e' =1/e
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Ellipse 📚
1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
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14
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15
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16
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17
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18
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19
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20
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21
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22
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23
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24
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25
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26
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27
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28
A tangent having slope -4/3 to the ellipse x²/18 + y²/32 = 1 intersects the major and minor axes at ...
29
Let P be any point on a directrix of an ellipse of eccentricity e. S be the corresponding focus and ...
30
If(root3)bx + ay = 2ab touches the ellipse x²/a² + y²/b² = 1, then the eccentric angle of the point ...
31
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32
If tangents PQ and PR are drawn from a point on the circle (x^2 + y^2 =25 ) to the ellipse (x^2/4 + ...
33
There are exactly two points on the ellipse x²/a² + y²/b² = 1 whose distance from its centre is the ...
34
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35
The slopes of the common tangents of the ellipse and the circle (x^2/4 + y^2/1 = 1) , x^2+y^2 =3 a ...
36
The point of intersection of the tangents at the point P on the ellipse x²/a² + y²/b² = 1 the auxili ...
37
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38
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39
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