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Analytical Geometry

ajay's Avatar
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3 Feb 2009 19:05:35 IST
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the image of pt.(-2,1)by a line mirror be (2,-1) den waz the equation of line mirror
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the image of pt.(-2,1)by a line mirror be (2,-1) den waz the equation of line mirror


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abhishek's Avatar

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Joined: 10 May 2008
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3 Feb 2009 19:07:56 IST
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Is it x=y.do reply plz
A$PIRing  HiGh - dEv aDitYa's Avatar

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3 Feb 2009 19:14:35 IST
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y=x
AViK's Avatar

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3 Feb 2009 19:33:15 IST
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Let A(-2,1) ...& B(2.-1)...

 

Note tht the mirror wud b perpendicular 2 the line AB....

& will pass thro' the origin as AO =OB (O is origin)....

 

Slope of AB = (-1-1)/ (2+2) = -1/2

SO....slope of mirror = +2            (coz m1*m2 =-1)

Equation of line mirror =>   y = 2x

 

PLz rate...

Vikram Saxena's Avatar

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Joined: 1 Apr 2007
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4 Feb 2009 19:52:05 IST
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the image of pt.(-2,1)by a line mirror be (2,-1)

the slope of line mirror is :

m = 2

the mid point lies on the mirror than we have :

mid point = (0,0)

equation of mirror is :

y = 2x

debmalya choudhuri's Avatar

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4 Feb 2009 22:24:01 IST
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for simplyfng problems u may use this directly as a result tat if (a,b) is ne point then its refelction abt y=x is (-a,-b) and abt y=-x is (-b,-a) cheers
prateek punj's Avatar

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5 Feb 2009 13:27:47 IST
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y=2x....for sure....
Aatish Pandit's Avatar

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7 Feb 2009 15:52:15 IST
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well so many answers...hmmm....let me tell u direct formula to find image of any point about any line.....

let the point is (a,b).......and the line be.....px + qy + r = 0......

then for image (x,y).....

that root at the end is a missprint.....

debmalya choudhuri's Avatar

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7 Feb 2009 22:13:43 IST
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dude actually i feel u wil go mad cramming up so manycformulas tats why just approach through the basics the result obatined is faster it is y=2x.



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