If the sum of the reciprocals of the intercepts made by a variable straight line on the axis of coordinates is a constant, then prove that the line always passes through a fixed point
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Hint : xaxa+yb+yb=1=1 where 1a1a+1b+1b = constant = 1k1k (say ). This implies that kaka+kb+kb=1⇒=1⇒ line passes through the fixed point (k, k).]
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