Answer :
Given, The tangent of the angle between them is
To Find Slope of the other line.
Assumption: The slope of line m1 = x, and m2 = 2x
Formula used:
Explanation: We have tan given, then
Case 1:
2x2 + 1 = 3x – 6x
2x2 + 3x + 1 = 0
2x2 + 2x + x + 1 = 0
2x(x + 1) + 1(x + 1) = 0
(2x + 1)(x + 1) = 0
x = – 1,
Case 2:
2x2 + 1 = 3x
2x2 – 3x + 1 = 0
2x2 – 2x – x + 1 = 0
2x(x – 1) – 1(x – 1) = 0
(2x – 1)(x – 1) = 0
x = 1,
Hence, The slope of other line is either 1, or – 1, .
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