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Let S and S'' be the fociof the ellipse ...

Let S and S'' be the fociof the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` whose eccentricity is i.e. P is a variable point on the ellipse. Consider the locus the incenter of `DeltaPSS''`
The eccentricity of the locus oc the P is (a) ellipse (b) hyperbola (a) parabola (d) circle

A

ellipse

B

hyperbola

C

parabola

D

circle

Text Solution

AI Generated Solution

To solve the problem, we need to find the eccentricity of the locus of the incenter of triangle \( \Delta PSS'' \), where \( S \) and \( S'' \) are the foci of the ellipse defined by the equation: \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \] ### Step-by-Step Solution: ...
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