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Question

Mathematics Question on Straight lines

A straight line is such that the sum of the reciprocals of its intercepts on the axes is K.Then it passes through the fixed point with co-ordinates

A

(1k,1k)\left( \frac{1}{k} , \frac{1}{k} \right)

B

(k,1k)\left( k , \frac{1}{k} \right)

C

(k, k)

D

(1k,k)\left( \frac{1}{k} , k \right)

Answer

(1k,1k)\left( \frac{1}{k} , \frac{1}{k} \right)

Explanation

Solution

(1k)a+(1k)b=1\frac{\left(\frac{1}{k} \right)}{a} + \frac{\left( \frac{1}{k} \right)}{b} = 1