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If 5a+5b+20 c=t , then find the value of...

If `5a+5b+20 c=t ,` then find the value of `t` for which the line `a x+b y+c-1=0` always passes through a fixed point.

Text Solution

Verified by Experts

The correct Answer is:
20
Equation of line `(ax)/(c-1) + (by)/(c-1) + 1=0` has two independent parameters.
5a +5b+20c =t
`therefore 5a + 5b= t-20c`
`therefore (5a)/(c-1) + (5b)/(c-1) = (t-20c)/(c-1)`
R.H.S. is independent of c if t = 20.
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