if Point -3,2 lines on 3y=ax+2,find a
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The given lines are ax + by = c ⇒ y = − a x b + c b , m 1 = − a b −axb+cb,m1=−ab and a'x +b'y = c' ⇒ y = a ′ b ′ x + c ′ b ′ , m 2 = − a ′ b ′ a′b′x+c′b′,m2=−a′b′ Since the line are perpendicular. ∴ m1m2 = – 1 ⇒ (− a b ab ) (− a ′ b ′ a′b′) = − 1 ⇒ a a ′ b b ′ = − 1 aa′bb′=−1 ⇒ aa′ + bb′ = 0, which is the required condition.Read more on Sarthaks.com - https://www.sarthaks.com/1039937/find-the-condition-if-the-two-lines-ax-by-candax-by-c-are-perpendicular
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