MAH-CET 2026 — Mathematics PYQ

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Question

MAH-CET 2026 — Mathematics PYQ

MAH-CET | Mathematics | 2026

The circle whose diameter has endpoints $(2, 4)$ and $(6, 8)$ has centre:

Choose the correct answer:

Explanation

A key property of a circle is that the centre of a circle is the midpoint of its diameter.

Let the endpoints of the diameter be:

$A (x_{1}, y_{1}) = (2, 4)$
$B (x_{2}, y_{2}) = (6, 8)$

To find the coordinates of the centre, we use the Midpoint Formula:

$Midpoint (x, y) = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})$

Now, substitute the given values into the formula:

For the x-coordinate:
$x = \frac{2 + 6}{2} = \frac{8}{2} = 4$
For the y-coordinate:
$y = \frac{4 + 8}{2} = \frac{12}{2} = 6$

Therefore, the coordinates of the centre of the circle are $(4, 6)$ .