Find The Condition For The Lines Ax2 + 2Hxy + By2 = 0 To Be Conjugate Diameters Of .

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Question

Find the condition for the lines Ax² + 2Hxy + By² = 0 to be conjugate diameters of .

easy

Solution

Correct option is

Let the lines represented by

but y = mx and y = m₁x are the conjugate diameters of

then,

∴ From (i) and (ii),

which is the required condition.

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