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If d1,d2 (d2>d1) be the diameters of two...

If `d_1,d_2` (d_2>d_1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle prove that `d_2^2=c^2+d_1^2`

Text Solution

Verified by Experts

The correct Answer is:
`d_(2)^(2)=C^(2)-d_(1)^(2)`
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If d_(1),d_(2)(d_(2)2>d 1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle prove that d_(2)^(2)=c^(2)+d_(1)^(2)

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Knowledge Check

  • The radli of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. The length of AD is

    A
    20 cm
    B
    19 cm
    C
    18 cm
    D
    17 cm

  • The radii of two concentric circle are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. Find the length of AD.

    A
    20 cm
    B
    19 cm
    C
    18 cm
    D
    17 cm

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