If ` (3, lamda ) and ( 5, 6 ) ` are the conjugate points to the curve ` x ^ 2 + y^ 2 = 3, ` then ` lamda ` is
If ` (3, lamda ) and ( 5, 6 ) ` are the conjugate points to the curve ` x ^ 2 + y^ 2 = 3, ` then ` lamda ` is
A. ` - 1 `
B. ` 1 `
C. ` - 2 `
D. ` 2 `
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Correct Answer - C
If the ` ( 3, lamdalamda lamda lamda ) and ( 5, 6 ) ` are the conjugate points to the curve ` x^ 2 + y ^ 2 = 3`, then
` x _ 1x _ 2 + y_ 1 y _ 2 = 3 `
` rArr ( 3 ) (5) + (lamda lamda lamda lamda ) * ( 6 ) =3 `
` rArr 15 + 6 (lamda lamda lamda lamda ) = 3 `
` rArr 6 ( lamda lamda lamda lamda ) = - 12 `
` rArr lamda lamda lamda lamda = - 2 `
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