If line y = mx + c touches ellipse frac{{{x^2}}}{{{b^2}}} + frac{{{y^2}}}{{{a^2}}} = 1 , then c =

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10-2. Parabola, Ellipse, Hyperbola

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If the line $y = mx + c$touches the ellipse $\frac{{{x^2}}}{{{b^2}}} + \frac{{{y^2}}}{{{a^2}}} = 1$, then $c = $

A

$ \pm \sqrt {{b^2}{m^2} + {a^2}} $

B

$ \pm \sqrt {{a^2}{m^2} + {b^2}} $

C

$ \pm \sqrt {{b^2}{m^2} - {a^2}} $

D

$ \pm \sqrt {{a^2}{m^2} - {b^2}} $

Solution

(a) Since, here $a$ and $b$ are interchanged.

Standard 11

Mathematics

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