Question

Find equation of line through the intersection of lines 3x-4y-1 cutting of equal intercepts

Answer 1

Answer:

Equation of line passing through through the intersection of two lines is given by.

3x -4y + 1 + k ( 5x +y -1 ) = 0

x ( 3 + 5k ) +y ( k -4 ) + 1 - k = 0

it is given that the line cuts equal intercept on co-ordinate axis

I,e 3 + 5k = k -4

k = -7

Now put value of k in above equation to find out equation of line passing through intersection of two line.

x ( 3 - 5 / 7 ) + y ( -7 +4 ) + 1 +7 = 0

16x - 21y +56=0

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