Question
Download Solution PDFThe equation of a circle is
(x2 - 4x + 3) + (y2 - 6y + 8) = 0
Which of the following statements are correct?
I. The end points of a diameter of the circle are at (1, 2) and (3, 4).
II. The end points of a diameter of the circle are at (1, 4) and (3, 2).
III. The end points of a diameter of the circle are at (2, 4) and (4, 2).
Select the answer using the code given below.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given
Equation of circle is
(x2 - 4x + 3) + (y2 - 6y + 8) = 0
⇒ (x – 3) (x – 1) + (y – 4) (y – 2)= 0
So the possible ends of the diameters are (3, 4), (3, 2), (1, 4) and (1, 2).
Also, Radius = √2
center = (2,3)
So the required pair of ends of diameters are (I) (1, 2) and (3, 4) and (II) (1, 4) and (3, 2).
∴ Option (a) is correct.
Last updated on May 30, 2025
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