If P(a,b), the point of intersection of the ellipse a2x2+a2(1−e2)y2=1 and the hyperbola a2x2−a2(E2−1)y2=41 is equidistant from the foci of the two curves (all lying in the right of y-axis), then

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If {P}{({a},{b})}, the point of intersection of the ellipse {{

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If $P (a, b)$ , the point of intersection of the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{a ^{2} ( 1 - e ^{2} )} = 1$ and the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{a ^{2} ( E ^{2} - 1 )} = \frac{1}{4}$ is equidistant from the foci of the two curves (all lying in the right of y-axis), then

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P (a, b)

, the point of intersection of the ellipse

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{a ^{2} ( 1 - e ^{2} )} = 1

and the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{a ^{2} ( E ^{2} - 1 )} = \frac{1}{4}

is equidistant from the foci of the two curves (all lying in the right of y-axis), then

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Question Text

P (a, b)

, the point of intersection of the ellipse

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{a ^{2} ( 1 - e ^{2} )} = 1

and the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{a ^{2} ( E ^{2} - 1 )} = \frac{1}{4}

is equidistant from the foci of the two curves (all lying in the right of y-axis), then