1. A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?
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By: anil on 05 May 2019 02.10 am
Slope of line 3x - 2y = 6 = $$-frac{3}{-2} = frac{3}{2}$$ Product of slopes of two perpendicular lines = -1 Let slope of line passing through origin = $$m$$ => $$m imes frac{3}{2} = -1$$ => $$m = frac{-2}{3}$$ Equation of line passing through origin and having slope m is $$y = mx$$ (Since y intercept is zero) => $$y = frac{-2}{3} x$$ => $$3y = -2x$$ => $$2x + 3y = 0$$ Solving the above equations, we get the intersection point M = $$(frac{18}{13} , frac{-12}{13})$$ => Ans - (B)
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