True or True #2

Geometry Level 3

True or False:

In Cartesian Plane, if line M is perpendicular to line N then, the product of the slope of line M and line N is always equal to -1 .

See my set: True or True .
False Not True and Not False not true and not false True

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Paul Ryan Longhas by Paul Ryan Longhas , 24, Philippines

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1 solution

Paul Ryan Longhas
Nov 27, 2014

Let line M be the x -axis and line N be y-axis. So the slope of line M is 0 and the slope of line N is undefined. Therefore, (slope of line M)(slope of line N) = indeterminate.

11 Helpful 0 Interesting 0 Brilliant 0 Confused

Let slope of M be m1 and slope of N be m2. We have tan(π/2) = (m2-m1)/(1+m1m2) = 1/0 or Let k/0. So m1m2+1=0 No matter what slopes are.

Sachin Vishwakarma - 5 years, 8 months ago

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