The value of k if the straight lines 3x+6y+7=0 and 2x+ky=5 are pendicular is
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if two straight lines are perpendicular to each other, and if m1 and m2 are their slopes respectively,then m1×m2 = -1
slope m1 of 3x + 6y + 7 = 0
=> 6y = -3y - 7
=> y = -3x/6 - 7/6 [ by transpose ]
=> m1 = -3/6 = -1/2
slope m2 of 2x + ky = 5
=> ky = - 2x + 5 [ by transpose ]
=> y = -2x/k + 5/k
=> m2 = -2/k
m1×m2 = -1/2 × -2/k = - 1
=> -2/k = -1 ÷ -1/2
=> -2k = 2
=> k = 2/-2
=> k = -1 Answer
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