JEE Straight Lines(Mains)

Geometry Level 4

Each Side Of A Square Is Of Length 4 units.The Centre Of Square Is (3,7) And One Of Its Diagonals Is Parallel To y=x . If The Smallest Ordinate Of All Vertices is "a" And The Largest Ordinate is "b" Then Find the value of b-a. Note: This Is Not Original


The answer is 4.

Prakhar Bindal by Prakhar Bindal , 22, India

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2 solutions

D i a g o n a l i s ∥ x = y , ∴ t h e t w o s i d e s a r e h o r i z o n t a l . S o t h e O r d i n a t e a r e 4 u n i t s a p a r t . Diagonal~ is~ \parallel x=y, \therefore ~the~two~sides~are~horizontal. \\So~the~Ordinate ~are ~4 ~units~apart.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

[[overrated]] center is 3,4 and diagonal parallel to x=y, so compute smallest ordinate and largest ordinate by drawing square. and it is 4!

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Yep I Set it To Level 3(60-70 points).i dont know how it has gained 120 points!

Prakhar Bindal - 6 years, 1 month ago

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