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CGP EDU Academic Team
Published on: August 13, 2026
If 5a + 4b + 20c = t, then the value oft for which the line ax+ by+ c-1 = 0 always passes through a fixed point is
Text Solution
Verified by ExpertsThe correct answer is:
B
20
Equation of the given line is ax + by + c -1 = 0
20 ax + 20 by+ 20 c - 20 = 0 .....(i)
From the given relation, substituting value of c, we get,
20 ax+ 20 by + t - 5a – 4b - 20 = 0
Clearly for t = 20, the given line will pass through the point 
for all the values of a & b
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