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Q.

ABCD is a square is which A lies on the positive y-axis and B lies on the positive X-axis. If D is the point (12, 17) the co-ordinates of C are (α,β) then α−β=____

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answer is 12.

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Detailed Solution

Triangles NDA, MBC and OAB are congruent ⇒MB=OA=ND=12 and 

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CM=OB=NA=ON−OA=5

OM=OB+MB=5+12=17

∴C=[17,5]

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ABCD is a square is which A lies on the positive y-axis and B lies on the positive X-axis. If D is the point (12, 17) the co-ordinates of C are (α,β) then α−β=____