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The locus of point of intersection ...

The locus of point of intersection of the lines ` y + mx = sqrt ( a ^ 2 m ^ 2 + b ^ 2 ) and my - x = sqrt ( a ^ 2 + b ^ 2 m ^ 2 ) ` is

A

` x ^ 2 + y^ 2 = ( 1 )/ ( a^ 2 ) + ( 1 ) / ( b ^ 2 ) `

B

` x ^ 2 + y ^ 2 = a ^ 2 + b ^ 2 `

C

` x ^ 2 - y ^ 2 = a ^ 2 - b ^ 2 `

D

` ( 1 ) /( x ^ 2 ) + ( 1 )/( y ^ 2 ) = a ^ 2 - b ^ 2 `

Text Solution

Verified by Experts

The correct Answer is:
B
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