a straight line passes through the fixed point(1/k,1/k). the sum of reciprocals of its intercepts on coordinate axes  is?

Dear Student,
If a and b are the intercepts of the x and y axes. Then the equation of the straight line is :
xa + yb = 1Now, as the line passes through (1k ,1k)So,  1ka + 1kb = 11ka + 1kb = 1or, 1a + 1b = kHence proved

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