Question

If (a, 3) and (3, 5) are the extremities of the diameter of a circle with centre at (2, b), then the value of a and b are –

• A. a = 1, b = 4
• B. a = 4, b = 2
• C. a = 4, b = 1
• D. None of these

Answer 1

Answer: (A)

a = 1, b = 4

Answer 2

Q AB is a diameter of the circle.

̃ A(a, 3); B(3, 5) & centre of the circle is C(2, B)

Now, AC = BC ̃ C = $\left\{ \begin{matrix} 2 = \frac{\alpha + 3}{2} \Rightarrow \alpha = 1 \\ B = \frac{3 + 5}{2} = 4 \end{matrix} \right.\$