Consider the ellipse x2-tan2-y2-2-1 where - 0-2 which of the following quantities would vary as - varies -

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Consider the ...

Question

Consider the ellipse $\frac{x^{2}}{{tan}^{2} α} + \frac{y^{2}}{{sec}^{2} α} = 1$
where $α \in (0, π / 2)$
which of the following quantities would vary as $α$ varies ?

degree of flatness

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ordinate of the vertex

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coordinates of the foci

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length of the latus rectum

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Solution

The correct options are
A degree of flatness
B ordinate of the vertex
D length of the latus rectum

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Similar questions

Q. Consider the ellipse

\frac{x^{2}}{t a n^{2} α} + \frac{y^{2}}{s e c^{2} α} = 1 α ϵ (0, \frac{π}{2})

which of the following quantities would vary as

α

varies?

Q. If the length of latus rectum of a horizontal ellipse

x^{2} {tan}^{2} α + y^{2} {sec}^{2} α = 1 (α \neq \frac{π}{2})

\frac{1}{2}

, then the possible value(s) of

α

(0, π)

is/are

Q. Let

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and

Q (x_{2}, y_{2});

where

y_{1} < 0, y_{2} < 0

be the end points of the latus rectum of the ellipse

x^{2} + 4 y^{2} = 4.

The equation of parabola with latus rectum

P Q

are

If $cos α = \frac{2}{3},$ then the range of values of $ϕ$ on the ellipse
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Q. For the hyperbola

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, which of the following remains constant when α varies?

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Consider the ellipse x2tan2α+y2sec2α=1 where α∈(0,π/2) which of the following quantities would vary as α varies ?

The correct options are A degree of flatness B ordinate of the vertex D length of the latus rectum

Consider the ellipse $\frac{x^{2}}{{tan}^{2} α} + \frac{y^{2}}{{sec}^{2} α} = 1$
where $α \in (0, π / 2)$
which of the following quantities would vary as $α$ varies ?

The correct options are
A degree of flatness
B ordinate of the vertex
D length of the latus rectum