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Analytical Geometry

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7 Sep 2010 14:15:31 IST

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product of slopes two perpendicular which are not parallel to coordinate axis is -1. but the produc

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product of slopes two perpendicular which are not parallel to coordinate axis is -1. but the product of slopes of x and y axis not equal to -1. how to explain this to students/

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Yagyadutt Mishra

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Joined: 19 Feb 2009

Posts: 1984

7 Sep 2010 14:28:27 IST

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Hello brother

check out the same question posted in this link.....and have a look on my solution....you will get clear

http://www.goiit.com/posts/list/analytical-geometry-hello-friends-one-interesting-question-for-990302.htm

Jnandeep Sarma

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Joined: 2 Apr 2010

Posts: 213

7 Sep 2010 14:35:21 IST

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Hello,

the product of slopes of two perpendicular lines not parallel to x and y axes is -1 bcoz they make certain angles with the coordinate axes and for them theta is not equal to zero or 90 degree. but for x and y axes themselves or lines parallel to them , theta is equal to zero and 90 degree. therefore tan theta is equal to zero and infinty and hence the product of their slopes is not equal to one.

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