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Suppose you are given a circle. Give a c...

Suppose you are given a circle. Give a construction to find its centre.

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Knowledge Check

  • The locus of the centre of a circle which touches externally two given circles is

    A
    a hyperbola
    B
    an ellipse
    C
    a parabola
    D
    circle

  • Draw a circle of radius 2 cm with centre O and take a point P outside the circle such that OP = 4.5 cm. From P, draw two tangents to the circle. Given below are the steps of constructing the tangents from P. Find which of the following steps is wrong. Step 1: Draw a circle with O as centre and radius 2 cm. Step 2: Mark a point P outside the circle such that OP = 4.5 cm. Step 3: Join OP and bisect it at M. Step 4: Draw a circle with P as centre and radius = MP to intersect the given circle .at the points R and Q. Step 5: Join PR and PQ.

    A
    1)Step 2 only
    B
    2)Step 3 only
    C
    3)Step 4 only
    D
    4)Step 5 only

  • In the given given figure ,APB is tangent at P to circle with centre O.If angleQPB=60^(@) ,then the measure of anglePOQ is:

    A
    `60^(@)`
    B
    `30^(@)`
    C
    `120^(@)`
    D
    `90^(@)`

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