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If the point (1, 4) lies inside the circ...

If the point (1, 4) lies inside the circle `x^(2)+y^(2)-6x-10y+p=0` and the circle does not touch or intersect the coordinate axes, then which of the following must be correct :

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The correct Answer is:
D
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Check wheather The point (1,2) lies inside the circle x^(2)+y^(2)-2x+6y+1=0 .

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Knowledge Check

  • The ellipse 4x^(2)+8y^(2)=64 and the circle x^(2)+y^(2)=9 intersect at points where the y-coordinates is

    A
    `+-sqrt(2)`
    B
    `+-sqrt(5)`
    C
    `+-sqrt(6)`
    D
    `+-sqrt(7)`

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