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A tangent PQ at a point P of a circle of...

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12cm . Find length of PQ .

Text Solution

Verified by Experts

The correct Answer is:
`PQ=sqrt(119)`
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Fill in the blanks A tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ=13cm . Find length of PQ.

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Knowledge Check

  • The length of the tangents to frome a point A to a circle of radius 3 cm is 4 cm then the distance between A and the centre to the circle is …..

    A
    2 cm
    B
    3 cm
    C
    4 cm
    D
    5 cm

  • If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meet the line 5x-2y+6=0 at a point Q on y-axis then PQ=

    A
    `10`
    B
    `15`
    C
    `25`
    D
    `5`

  • The length of a tangent to a circle from a point P is 12 cm and the radius of the circle is 5 cm , then the distance from point P to the centre of the circle is …..

    A
    11 cm
    B
    10 cm
    C
    13 cm
    D
    14 cm

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    PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T (see figure). Find the length of TP.

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    If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meets the straight line 5x-2y+6=0 at a point Q on the y-axis then show that PQ=5.

    Draw four circles of radius 2 cm, 3 cm, 4 cm and 5 cm with the same centre ‘P’.

    Draw a line segment AB of length 8 cm . Taking A as centre draw a circle of radius 4 cm and taking B as centre , draw another circle of radius 3cm . Construct tangents to each circle from the centre of the other circle.

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