If the line $y = mx + c$touches the ellipse $\frac{{{x^2}}}{{{b^2}}} + \frac{{{y^2}}}{{{a^2}}} = 1$, then $c = $
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}} $
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- [JEE MAIN 2022]