Question

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

Answer 1

Correct Answer - 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).