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

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

A

two values of a

B

a

C

for one value of a

D

for no value of a

Text Solution

Verified by Experts

The correct Answer is:
1
`3a+a^(2)-2=0`
or `a^(2)+3a-2=0`
or `a=(-3+-sqrt(9+8))/(2)=(-3+-sqrt(17))/(2)`
Thererfore , there are two values of a .
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