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