Points A(5, 3), B(-2, 3) and D(5, -4) are three vertices of a square ABCD. Find the coordinates of the vertex C.
A
(-2,4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(2,-4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(-2,-4)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
(2,4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C (-2,-4) Take a point C on the graph such that ABCD is a square i.e all sides AB, BC, CD and AD are equal. So, the abscissa of C should be equal to the abscissa of B i.e -2 and ordinate of C should be equal to the ordinate of D. i.e -4.
Hence, the coordinates of C are
(-2, - 4).