Math miscellaneousHard

Question

The point of lines represented by 3ax2 + 5xy + (a2 - 2)y2 = 0 and perpendicular to each other for

Options

A.two values of a
B.∀ a
C.for one value of a
D.for no values of a

Solution

3a + a2 - 2 = 0 ⇒ a2 + 3a - 2 = 0 ⇒ a2 + 3a - 2 = 0 ⇒ a =

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