Problem: ABCD is a square. E(4, 3), F(2, 5) lie on AB and CD respectively such that EF divides the square in two equal parts. If the coordinates of A is (7, 3), other coordinates of the vertices can be
(A) (7, 2)
(B) (7, 5)
(C) (-1, 3)
(D) (-1, 7)
Ans: (B), (C).
Sol: Mid-point (G) of EF is centre of square.

Also Read :
- A square is inscribed inside the ellipse x^2/a^2 + y^2/b^2 = 1 , the length of the side of…
- If tanθ = √n , for some non-square natural number n , then sec2θ is
- If ax^2 + 2b x + c = 0 and a1 x^2 + 2 b1 x + c1 = 0 have one and only one root in common,…
- The centre of the circle inscribed in a square formed by the lines x^2 – 8x + 12 = 0 and y^2…
- A line through the origin divides parallelogram with vertices (10, 45), (10, 114), (28, 153)…
- The number of ways of arranging six persons (having A, B, C and D among them) in a row so…
- If ABCD is a cyclic quadrilateral, prove that the orthocentre of the triangle ABC, BCD, CDA…
- Suppose f(x, y) = 0 is the equation of the circle such that f(x , 1) = 0 has equal roots…
- Let p , q , r ∈ R+ and 27 pqr ≥ (p + q + r)^3 and 3p + 4q + 5r = 12 then p^3 + q^4 + r^5 is…
- The value of (n + 2) C0 2n+1 - (n + 1) C12n + n. C2 2n-1 - ... is equal to