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The centre of the circle touching the y-...

The centre of the circle touching the y-axis at (0,3) and making an intercept 2 unit on positive x-axis is

A

`(10,sqrt3)`

B

`(sqrt3,10)`

C

`(sqrt10,3)`

D

`(3,sqrt10)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Centre of the circle touching y-axis at (0,3) and making an intercept 2 units on positive X-axis is

    A
    `(sqrt(10),3)`
    B
    `(3,sqrt(10))`
    C
    `(-sqrt(10),3)`
    D
    `(sqrt(10),-3)`

  • The equation of the cirles touch the x-axis (3,0) and make an intercept 8 units on y-axis is

    A
    `x^(2)+y^(2)+y^(2)+10x-8y-16=0`
    B
    `x^(2)+y^(2)-6x pm 10y+9=0`
    C
    `x^(2)+y^(2)-10x pm 26y+25=0`
    D
    `x^(2)+y^(2) pm 26+24y+144=0`

  • Equation of circle which touch X-axies at (3,0) and making Y-intercept of length 8 units is

    A
    `x^(2)+y^(2)-6x+-10y+9=0`
    B
    `x^(2)+y^(2)-6x+-10y-9=0`
    C
    `x^(2)+y^(2)+16x+110y+9=0`
    D
    None

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