If and cut orthogonally

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If

4x^2+\lambda y^2=45

and

x^2-4y^2=5

cut orthogonally, then the value of

\lambda

is: (1)

\frac{1}{9}

(2)

\frac{1}{3}

(3)

9

(4)

18

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