Find the slope of the line which is perpendicular to - i x - y-2 - 3 - 0 ii x-3-2y-4

(i) Slope of this line = 2 Slope of the line which is perpendicular to the given line = (ii) Slope of this line = Slope of the line which is perpend ...

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Standard X

Mathematics

Equation of a Line Perpendicular to a Given Line

Find the slop...

Question

Find the slope of the line which is perpendicular to :

(i) $x - \frac{y}{2} + 3 = 0$

(ii) $\frac{x}{3} - 2 y = 4$

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Solution

(i)

Slope of this line = 2

Slope of the line which is perpendicular to the given line = $fraction numerator negative 1 over denominator s l o p e space o f space t h e space g i v e n space l i n e end fraction equals fraction numerator negative 1 over denominator 2 end fraction$

(ii)

Slope of this line =

Slope of the line which is perpendicular to the given line = $fraction numerator negative 1 over denominator s l o p e space o f space t h i s space l i n e end fraction equals fraction numerator negative 1 over denominator begin display style 1 over 6 end style end fraction equals negative 6$

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Find the slope of the line which is perpendicular to : (i) x−y2+3=0 (ii) x3−2y=4

(i) Slope of this line = 2 Slope of the line which is perpendicular to the given line = (ii) Slope of this line = Slope of the line which is perpendicular to the given line =

Find the slope of the line which is perpendicular to :

(i) $x - \frac{y}{2} + 3 = 0$

(ii) $\frac{x}{3} - 2 y = 4$