Question

if non zero numbers a, b, c are in harmonic progression then show that the equation X by a plus y by b + 1 by C = 20 represent a family of concurrent lines and find the point of concurrency​

Answer 1

Answer:

If non-zero numbers a,b and c are in HP, then the straight line x/a + y/b + 1/c = 0 always passes through a fixed point. That point is (a) (1, -(1/2)) ...

Correct Option (b) (1, -2) Explanation: Since.a, band c are in HP. Then 1/a, 1/b and 1/c are in AP. 2/b = 1/a + 1/c ⇒ 1/a - 2/b + 1/c = 0 Hence, ...