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Terminologies Related to a Hyperbola

If S is the f...

Question

If S is the focus and PQ is a focal chord of the parabola $y^{2} = 4 a x$ then SP the semilatusrectum, and SQ are in

A

AP

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B

GP

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C

HP

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D

AGP

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Solution

The correct option is C
HP

$\frac{1}{s p} + \frac{1}{s q} = \frac{2}{l}$
$\Rightarrow$ sp,2,sq are in HP

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Similar questions

l

denotes the semi-latus rectum of the parabola

y^{2} = 4 a x

S P

S Q

denote the segments of any focal chord

P Q

S

being the focus, then

S P

l

S Q

are in the relation

Q. A focal chord of the parabola

y^{2} = 4 a x

meets it at P and Q. If S is the focus then

\frac{1}{S P} + \frac{1}{S Q} =

P S Q

is the focal chord of the parabola

y^{2} = 8 x

S P = 6

then the lenght of

S Q

S

is the focus of the parabola

Q. The latusrectum of the parabola

y^{2} = 4 a x

whose focal chord is

P S Q

S P = 3

S Q = 2

being focus, is given by

P S Q

is the focal chord of the parabola

y^{2} = 8 x

S P = 6

then the lenght of

S Q

S

is the focus of the parabola

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Terminologies Related to a Hyperbola

Standard XI Mathematics

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