JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Analyzing +4 | -1

p

and

p^{\prime}

denote the lengths of the perpendicular from a focus and the centre of an ellipse with semi-major axis of length

a

, respectively, on a tangent to the ellipsic and

r

denotes the focal distance of the point, then

View answer and explanation

Correct option: A

a p=r p^{\prime}

Option A (

\pm 1

) is correct because the common chord of the two parabolas is given by

x^2 - y^2 = 0

, which gives the lines

y = \pm x

, hence the slope is

\pm 1

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S

S'.

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A

B

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P

x=0

Q

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Q

y=x

Q

R

N P

Q

P

O