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Analytical geometry

Analytical geometry

by Nischal S -
Number of replies: 3

Hi,

I have this doubt in anal. geo. Hope some one could help me out.

The product of slopes of any two perpendicular lines is -1.Also slope of the x-axis is 0 and that of y-axis is infinity.Does this mean that 0 X infinity = -1 or this is just another meaningless eqn.

  

In reply to Nischal S

Re: Analytical geometry

by Shiv Gopal Yadav -
sure yaar this is an meaningless eqn. you know very well that zero multiplied by infinity is not defined
In reply to Nischal S

Re: Analytical geometry

by aditya neelkanth -
if slope of x axis is 0 then the line is horizontal and if slope of y axis is infinity then the line is  vertical. but it is not necessary that 2 perpendicular lines are always on the 2 axis. they can be anywherre in the plane.in that case their product is not 0 x infinity+-1
In reply to Nischal S

Re: Analytical geometry

by meghna baveja -

hi

i think if you go in the details and derivation you would find that there are two conditions on which we arrive ....one is m1m2=-1 and there is another one where tan A cannot be infinity....therefore the formula

tan A=|m1-m2|/1-m1m2 cannot be applied for the axes because A is an angle with respect to x axis.