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In Fig XY and X'Y' are two parallel tan...

In Fig XY and X'Y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY and X'Y' at B , prove that `angle AOB = 90^@`

Text Solution

Verified by Experts

The correct Answer is:
`90^@`
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Knowledge Check

  • PQ and RS are two parallel tangents to a circle with centre O and another tangent AB wih point of contact C intersect PQ at A and RS at B. then find angle AOB

    A
    `60^(@)`
    B
    `120^(@)`
    C
    `90^(@)`
    D
    `180^(@)`

  • XY and XZ are tangents to a circle, ST is another tangent to the circle at the point R on the circle, which intersects XY and XZ at S and T respectively. If XY = 15 cm and TX = 9 cm , then RT is

    A
    4.5 cm
    B
    7.5 cm
    C
    6 cm
    D
    3 cm

  • If lhe tangent to the curve x+y =e^(xy) be parallel to y-axis, then the point of contact is

    A
    (1, 0)
    B
    (0,1)
    C
    (1,1)
    D
    None

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