JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

If the ellipse

\therefore \frac{{{x^2}}}{4} + \frac{{{y^2}}}{1} = 1

meet the ellipse

\therefore \frac{{{x^2}}}{1} + \frac{{{y^2}}}{{{a^2}}} = 1

in four distinct points and

a = {b^2} - 10b = 25,

then the value b does not satisfy

View answer and explanation

Correct option: D

\left[ {4,6} \right]

The correct answer is D (

4,6

) because the value of b must be outside this interval for the ellipses to intersect at four distinct points.

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O