Question

If (x, 3) and (3, 5) are the extremities of a diameter of a circle with centre at (2, y), then the values of x and y are

• A. $(3,1)$
• B. $x=4,y=1$
• C. $x=8,y=2$
• D. None of these

Answer 1

Answer: (C), (D)

The correct options are
C

$x=8,y=2$

D

None of these

The end points of the diameter of a circle are (x, 3) and (3, 5).

According to the question, we have :

$\frac{x+3}{2}=2,y=\frac{5+3}{2}$

$\Rightarrow x=1,y=4$