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

Last updated at May 29, 2023 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)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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