Q.
If 5a+5b+20c=t, then the value of t for which the line ax+by+c−1=0 always passes through a fixed point is
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answer is 20.
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Detailed Solution
Equation of line axc−1+byc−1+1=0 has two independent parameters.5a+5b+20c=t∴ 5a+5b=t−20c5ac−1+5bc−1=t−20cc−1R.H.S is independent of c if t=20.
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