A circle touching the x axis at 3 0
Asked by admin @ in Math viewed by 307 People
A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :
(A) (3, 5) (B) (1, 5)
(C) (3, 10) (D) (2, 3)
Answered by admin @
A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis.
• Let us draw a circle touching (3,0) with random dimensions.
• We need to find the radius of the circle.
• We also need to find the center of the circle.
• We know, Radius perpendicular to the chord of circle bisects it.
• By solving, we get radius as 5 and centre as (3,5).
• With these , equatin of a circle with center (3,5) and radius 5 is written.
• By plugging the options in our equation,
(3,10) satisfies the equation.
• So, option C is the right answer.
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