1.

If the two lines with slope m1 and m2 are perpendicular then their slopes has relation ______(a) m1 + m2 = 1(b) m1 * m2 = 1(c) m1 * m2 = -1(d) m1 + m2 = -1This question was addressed to me in homework.My query is from Various Forms of the Equation of a Line topic in section Straight Lines of Mathematics – Class 11

Answer»

The CORRECT answer is (c) M1 * m2 = -1

To explain: If the two lines are perpendicular then if one line form ANGLE α with positive x-axis then the other line form angle 90° + α.

If m1 = TAN α then m2 will be tan (90°+ α) = – cot α = -1/tan α

=> m1 * m2 = – 1.



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