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  4. Straight lines x - y = 7 and x + 4y = 2 intersect at B. Points A and C are so chosen on these two lines such that AB = AC. The equation of line AC passing through (2, -7) is

Q. Straight lines x - y = 7 and x + 4y = 2 intersect at B. Points A and C are so chosen on these two lines such that AB = AC. The equation of line AC passing through (2, -7) is

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Solution:

Let the slope of line AC be m,
then, AB = AC

Equation of line is:

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