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Equation x^(2) +k(1)y^(2) +2k(2)y = a^(2...

Equation `x^(2) +k_(1)y^(2) +2k_(2)y = a^(2)` represents a pair of perpendicular straight lines if

A

`k_(1) = 1, k_(2) = a`

B

`k_(1) = 1, k_(2) =- a`

C

`k_(1) = -1, k_(2) =- a`

D

`k_(1) =- 1, k_(2) = a`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Lines are perpendicular if `1 +k_(1) =0`
Also pair of straight line,
`ABC +2FGH -AF^(2) -BG^(2) -CH^(2) =0`
`rArr k_(1) =- 1` and `k_(2) = +-a`
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