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

Last updated at April 16, 2024 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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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