If line joining (1, 2) and (7, 6) is perpendicular to line joining (3, 4) and (11, x).(a) 12(b) 16(c) -16(d) -12I have been asked this question in an online interview.My doubt stems from Various Forms of the Equation of a Line topic in portion Straight Lines of Mathematics – Class 11

If line joining (1, 2) and (7, 6) is perpendicular to line joining (3,

1.	If line joining (1, 2) and (7, 6) is perpendicular to line joining (3, 4) and (11, x).(a) 12(b) 16(c) -16(d) -12I have been asked this question in an online interview.My doubt stems from Various Forms of the Equation of a Line topic in portion Straight Lines of Mathematics – Class 11
Answer» Right option is (c) -16 Easy EXPLANATION: We know, slope of line JOINING two points (x1, y1) and (x2, y2) is given by(y2-y1)/(x2-x1). Lines are perpendicular means m1*m2 = -1 => \((\FRAC{X-4}{11-3})(\frac{6-2}{7-1})\) = -1 => (x-4)(4) = (-1)(8)(6) => x-4 = -12 => x= -16.

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