An ellipse intersects the hyperbola $2x^2-2y=1$ orthogonally. The eccentricity of the ellipse is reciprocal to that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then (b) the foci of ellipse are $\left(\pm 1,0\right)$ (a) equation of ellipse is $x^2+2y^2=2$ (d) the foci of ellipse are $\left(t2,0\right)$ (c) equation of ellipse is $\left(x^{2}2y\right)$

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