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प्रश्न
Points A(–5, x), B(y, 7) and C(1, –3) are collinear (i.e. lie on the same straight line) such that AB = BC. Calculate the values of x and y.
बेरीज
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उत्तर
Given, AB = BC, i.e., B is the mid-point of AC.
∴ `(y, 7) = ((-5 + 1)/2, (x - 3)/2)`
`(y, 7) = (-2, (x - 3)/2)`
`=> y = -2` and `7 = (x - 3)/2`
`=>` y = –2 and x = 17
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