Q.

The two lines represented by 3ax2+5xy+(a2−2)y2=0 are perpendicular to each other for

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a

two values of a

b

a

c

for one value of a

d

for no value a

answer is A.

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Detailed Solution

3a+a2−2=0 or a2+3a−2=0 or a=−3±9+82=−3±172Therefore, there are two values of a.
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The two lines represented by 3ax2+5xy+(a2−2)y2=0 are perpendicular to each other for