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Assertion (A) In the given figure, a qua...

Assertion (A) In the given figure, a quad. `ABCD` is drawn to circumscribe a given circle, as shown
Then, `AB+BC=AD+DC`.

Reason (R ) In two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

A

Both Assertion (A) and Reason (R ) are true and Reason (R ) is a correct explanation of Asseration (A).

B

Both Assertion (A) and Reason (R ) are true but Reason (R ) is not a correct explanation of Asseration (A).

C

Assertion(A) is true and Reason (R ) is false.

D

Assertion(A) is false and Reason (R ) is true.

Text Solution

Verified by Experts

`A` is false. Correct relation is `AB+CD=AD+BC`.
`R` is true
Hence, the correct answer is `(d)`.
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Knowledge Check

  • In two Concentric circles, AB and CD are two chords of the outer circle which touch the inner circle at E and F. Then :

    A
    AB = CD
    B
    `AB = (1)/(2) CD`
    C
    `AB ne CD`
    D
    None of these

  • If two concentric circles are of radii 5 cm and 3 cm, then the length of the chord of the larger circle which touches the smaller circle is

    A
    6 cm
    B
    7 cm
    C
    10 cm
    D
    8 cm