Conic Sections Question 217
Question: If the centre of the circle passing through the origin is (3, 4), then the intercepts cut off by the circle on x-axis and y-axis respectively are
Options:
A) 3 unit and 4 unit
B) 6 unit and 4 unit
C) 3 unit and 8 unit
D) 6 unit and 8 unit
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Equation of circle having radius r and centre (3, 4) is $ ={{(x-3)}^{2}}+{{(y-4)}^{2}}=r^{2} $ If it is passing through (0, 0)
$ \therefore {{(0-3)}^{2}}+{{(0-4)}^{2}}=r^{2} $
$ \Rightarrow r^{2}=25 $ equation of circle is $ {{(x-3)}^{2}}+{{(y-4)}^{2}}=25 $ Putting y=0
$ \therefore $ x = 6 unit = interception x-axis intercept on y axis (Putting x = 0) is $ y=8 $ unit
BETA
