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Find the value(s) of k so that PQ will be parallel to RS. Given : P(3, −1), Q(7, 11), R(−1, −1) and S(1, k) - Mathematics

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प्रश्न

Find the value(s) of k so that PQ will be parallel to RS. Given : P(3, −1), Q(7, 11), R(−1, −1) and S(1, k)

योग

उत्तर

Since, PQ || RS,

Slope of PQ = Slope of RS

Slope of PQ = `(11 + 1)/(7 - 3) = 12/4 = 3`

Slope of RS = `(k + 1)/(1 + 1) = (k + 1)/2`

∴ `3 = (k + 1)/2`

k + 1 = 6

k = 5

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अध्याय 14: Equation of a Line - Exercise 14 (B) [पृष्ठ १९१]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 14 Equation of a Line
Exercise 14 (B) | Q 21.2 | पृष्ठ १९१

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