Question

the endpoints of diameter of a circle are (1 2) and (3 4).then the coordinates of the circle are (a) 2,2 (b) 2,3 (c) 1,2 (d) 4,6​

Answer 1

Answer:

b)2,3

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The endpoints of diameter of a circle are (1,2) and (3, 4) then the coordinates of the centre of the circle are

(a) (2,2)

(b) (2,3)

(c) (1,2)

(d) (4,6)

EVALUATION

Here it is given that the endpoints of diameter of a circle are (1,2) and (3, 4)

We know that for a circle center is the midpoint of the diameter

Hence the center of the circle

= Midpoint of the line joining the points (1,2) and (3, 4)

$\displaystyle \sf{ = \bigg( \frac{1 + 3}{2}, \frac{2 + 4}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \frac{4}{2}, \frac{6}{2} \bigg)}$

$\displaystyle \sf{ = ( 2, 3)}$

FINAL ANSWER

Hence the correct option is (b) (2,3)

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