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Question
If the lines kx – y + 4 = 0 and 2y = 6x + 7 are perpendicular to each other, find the value of k.
Solution
Given lines are
kx – y + 4 = 0
And 2y = 6x + 7
Or y = kx + 4 ...(i)
And y = `3x + 7/2` ...(ii)
On comparing with y = mx + c, we get
m1 = k and m2 = 3
If lines are perpendicular, then
m1m2 = – 1
`\implies` k × 3 = – 1
`\implies` k = `(-1)/3`
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