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Find the value of k for which points P(k, −1), Q(2, 1) and R(4, 5) are collinear. - Mathematics and Statistics

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प्रश्न

Find the value of k for which points P(k, −1), Q(2, 1) and R(4, 5) are collinear.

बेरीज
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उत्तर

Given, points P(k, −1), Q(2, 1) and R(4, 5) are collinear.

∴ Slope of PQ = Slope of QR

∴ `(1 - (-1))/(2 - "k") = (5 - 1)/(4 - 2)`

∴ `2/(2 - "k") = 4/2`

∴ 4 = 4 (2 − k)

∴ 1 = 2 − k

∴ k = 2 − 1 = 1

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पाठ 5: Straight Line - Exercise 5.2 [पृष्ठ १०९]

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