PowerPrep-lines

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PowerPrep-lines

by erjamit » Sun Jun 29, 2008 3:48 am
Hi,

My approach is as follows:-

for y = 3x+2 to contain (r,s) (r,s) should satisfy the line y = 3x+2 i.e.

s = 3r+2.

1) Put r = 0, (2-s)(9-s) = 0 => s has two values, not sufficient

2) Put r = 0, (-6-s)(2-s) = 0 => s has two values, not sufficient

However, from 1 and 2 we get s = 2, and r =0 which satisfies the equation
s = 3r + 2.

Hence, C.

Is my approach correct. Can someone suggest an alternate approach.

Thanks
Amit
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by chidcguy » Sun Jun 29, 2008 12:58 pm
I agree with s=3r+2 part. In other words all that we have to know is whether s=3r+2 or not to say point (r,s) lies on the line y=3x+2

Lets take A

(3r+2-s) (4r+9-s)=0

s=3r+2 (or) s=4r+9

Same with B

s=3r+2 (or) s=4r-6

Common part is S=3r+2 which satisfies our line equation. Hence C.
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