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यदि (-1, 3) व (4, -2) को मिलाने वाली रेखा बिन्दु (a, b) से होकर जाती है तो सिद्ध कीजिए कि a + b = 2

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तीन बिन्दु (-1, 3),(4, -2) तथा (a, b) से होकर एक रेखा जाती है।

∴ इनसे बनने वाले त्रिभुज का क्षेत्रफल = 0

1/2[(2 + 4b – 3a) – (12 – 2a – b)] = 0

3a + 4b + 2 – 12 + 2a + b = 0

5a + 5b = 10

5(a + b) = 10

a + b = 10/2 = 5

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