If non-zero numbers a , b , c are in H.P., then the straight line a x + b y + c 1 = 0 always passes through a fixed point. That point is

Question

If non-zero numbers a , b , c are in H.P., then the straight line a x ​ + b y ​ + c 1 ​ = 0 always passes through a fixed point. That point is

TestHub · Accepted Answer

a, b, c are in H.P. ​ ⇒ b 2 ​ − a 1 ​ − c 1 ​ = 0 a x ​ + b y ​ + c 1 ​ = 0 ⇒ − 1 x ​ − − 1 1 ​ ∴ x = 1 , y = − 2 ​

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