# 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 - Mathematics

MCQ

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

#### Options

• (3, 1)

• x = 4, y = 1

• x = 8, y = 2

• none of these

#### Solution

none of these

The end points of the diameter of a circle are (x, 3) and (3, 5).
According to the question, we have:

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

$\Rightarrow x = 1, y = 4$

Concept: Circle - Standard Equation of a Circle
Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 24 The circle
Q 21 | Page 40