The locus of mid points of intercept made by tangents between co-ordinate axis of ellipse $x^{2} + 2 y^{2} = 2$ is (A) $\frac{1}{4 x ^{2}} + \frac{1}{2 y ^{2}} = 1$ (B) $\frac{x ^{2}}{2} + \frac{y ^{2}}{4} = 1$ (C) $\frac{x ^{2}}{4} + \frac{y ^{2}}{2} = 1$ (D) $\frac{1}{2 x ^{2}} + \frac{1}{4 y ^{2}} = 1$

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The locus of mid points of intercept made by tangents between co-ordinate axis of ellipse

x^{2} + 2 y^{2} = 2

is (A)

\frac{1}{4 x ^{2}} + \frac{1}{2 y ^{2}} = 1

(B)

\frac{x ^{2}}{2} + \frac{y ^{2}}{4} = 1

(C)

\frac{x ^{2}}{4} + \frac{y ^{2}}{2} = 1

(D)

\frac{1}{2 x ^{2}} + \frac{1}{4 y ^{2}} = 1

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Question Text

The locus of mid points of intercept made by tangents between co-ordinate axis of ellipse

x^{2} + 2 y^{2} = 2

is (A)

\frac{1}{4 x ^{2}} + \frac{1}{2 y ^{2}} = 1

(B)

\frac{x ^{2}}{2} + \frac{y ^{2}}{4} = 1

(C)

\frac{x ^{2}}{4} + \frac{y ^{2}}{2} = 1

(D)

\frac{1}{2 x ^{2}} + \frac{1}{4 y ^{2}} = 1

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