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If a , b ,c are in harmonic progression,...

If `a , b ,c` are in harmonic progression, then the straight line `((x/a))_(y/b)+(l/c)=0` always passes through a fixed point. Find that point.

A

(-1,2)

B

(1,-2)

C

(-1,-2)

D

(1,2)

Text Solution

Verified by Experts

The correct Answer is:
B
It is given that a , b , c are in H.P.
`therefore (2)/(b) = (1)/(a) + (1)/(c)`
`implies (1)/(a) ((-2))/(b) + (1)/(c) = 0`
`implies (x)/(a) + (y)/(b) + (1)/(c) = 0` passes through the fixed point (1,-2) .
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