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The area of the circle centred at (1,2) ...

The area of the circle centred at `(1,2)` and passing through `(4,6)` is

A

`5pi`

B

`10pi`

C

`25pi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Given that, centre of the pcircle is `(1,2)`

`because` CP=`sqrt(9+16)=5=`Radius of the circle
`therefore` Required area=`pir^(2)=25pi`
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Knowledge Check

  • The area of circle centred at (1,2) and passing through (4,6) is

    A
    `5pi`
    B
    `10pi`
    C
    `25pi`
    D
    none of these

  • The area of circle centred at (1,2) and passing through (4,6) is

    A
    `5pi`
    B
    `10pi`
    C
    `25pi`
    D
    None of these

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    A
    ` x^(2) + y^(2) - 2x - 2y - 11= 0 `
    B
    ` x^(2) + y^(2) - 2x + 2y - 11= 0 `
    C
    ` x^(2) + y^(2) + 2x + 2y - 11= 0 `
    D
    ` x^(2) + y^(2) - 2x + 2y + 11= 0 `

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