Question 1 - Past Year MCQ - Chapter 7 Class 10 Coordinate Geometry (Term 1)

Last updated at Nov. 24, 2021 by Teachoo

If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (−2, 5), then the coordinates of the other end of the diameter are

Question 1 If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (−2, 5), then the coordinates of the other end of the diameter are (A) (−6, 7) (B) (6, −7) (C) (6, 7) (D) (−6, −7)
Let co-ordinates of A be (x, y)
Since O (−2, 5) is mid-point of AB
(−𝟐,𝟓)=((𝒙 + 𝟐)/𝟐,(𝒚 + 𝟑)/𝟐)
Comparing x coordinates
−2 = (𝑥 + 2)/2
(−2) × 2 = x + 2
−4 − 2 = x
−6 = x
x = −6
Comparing y coordinates
5 = (𝑦 + 3)/2
5 × 2 = y + 3
10 − 3 = y
7 = y
y = 7
Thus,
Coordinates of A = (x, y) = (−6, 7)
So, the correct answer is (A)

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Davneet Singh

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