conic-section

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

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

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

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

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

Solution:

Explanation: No Explanation

Ellipse

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