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The two lines represented by 3ax^(2)+5xt...

The two lines represented by `3ax^(2)+5xt+(a^(2)-2)y^(2)=0` are perpendicular to each other for

A

two value of a

B

a

C

for one value of a

D

for no value of a

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Verified by Experts

The correct Answer is:
A
Condition for perpendicular pair of lines is `A+B`
`rArr 3a+a^2-2=0`
`rArr a^2+3a-2=0`
`rArr a=(-3+-sqrt(9+8))/(2)=(-3+-sqrt(17))/(2)`
`therefore` Two values of a .
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