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The vertices A and D of square A B C D l...

The vertices `A` and `D` of square `A B C D` lie on the positive sides of `x-` and y-axis , respectively. If the vertex `C` is the point `(12 ,17)` , then the coordinates of vertex `B` are (a) `(14 ,16)` (b) (15, 3) (c) `17 ,5)` (d) `(17 ,12)`

A

(14,16)

B

(15,3)

C

(17,5)

D

(17,12)

Text Solution

Verified by Experts

The correct Answer is:
C
Let the coordinates of B be (h,k). Draw BL and CM perpendicular to the x- and the y-axis. Therefore,
`a costheta=CM=OD=AL=12`
and `a sintheta=DM=OA=BL=5`
`therefore k=5`
and `h=OL=OA+AL=5+12=17`
Hence, point B is (17,5).
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