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Question: If for a variable line $\frac{x}{a}+\frac{y}{b}=1$, the condition $\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{c}^{2}}}$ (c is a constant) is satisfied, then locus of foot of perpendicular drawn from origin to the line is



1) ${{x}^{2}}+{{y}^{2}}={{c}^{2}}/2$
2) ${{x}^{2}}+{{y}^{2}}=2{{c}^{2}}$
3) ${{x}^{2}}+{{y}^{2}}={{c}^{2}}$
4) ${{x}^{2}}-{{y}^{2}}={{c}^{2}}$
Solution: Explanation: No Explanation
Foot of perpendicular Transformation Pedal points Image of a point

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