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Consider a family of circles which are passing through the point `(-1,""1)` and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval (1) `0""<""k""<""` (2) `kgeq` (3) `-lt=klt=` (4) `klt=`

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Step by step text solution for Consider a family of circles which are passing through the point (-1,""1) and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval (1) 0""<""k""<"" (2) kgeq (3) -lt=klt= (4) klt= by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • A variable circle is described to passes through the point (1, 0) and tangent to the curve y = tan(tan^(-1)x) . The locus of the centre of the circle is a parabola whose

    A
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    B
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    C
    vertex has the co-ordinates (3/4, 1/4)
    D
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    A
    `y=(1)/(x^(2))`
    B
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    C
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