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Area between Two Curves

In the accomp...

Question

In the accompanying diagram tangent $¯ ¯¯¯¯¯¯ ¯ A B$ and secant $¯ ¯¯¯¯¯¯¯¯¯¯¯ ¯ A C D$ are drawn to circle O from point A, AB = 6 and AC = 4 Find AD

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Solution

The correct option is B $9$
We have,

$A B = 6, A C = 4, A D = ?$

We know that

$A B^{2} = A C \times A D$

$6^{2} = 4 \times A D$

$A D \times 4 = 36$

$A D = 9$

Hence, this is the answer.

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In the accompanying diagram tangent ¯¯¯¯¯¯¯¯AB and secant ¯¯¯¯¯¯¯¯¯¯¯¯¯ACD are drawn to circle O from point A, AB = 6 and AC = 4 Find AD

The correct option is B 9We have, AB=6,AC=4,AD=? We know that AB2=AC×AD 62=4×AD AD×4=36 AD=9 Hence, this is the answer.

In the accompanying diagram tangent $¯ ¯¯¯¯¯¯ ¯ A B$ and secant $¯ ¯¯¯¯¯¯¯¯¯¯¯ ¯ A C D$ are drawn to circle O from point A, AB = 6 and AC = 4 Find AD

The correct option is B $9$
We have,

$A B = 6, A C = 4, A D = ?$

We know that

$A B^{2} = A C \times A D$

$6^{2} = 4 \times A D$

$A D \times 4 = 36$

$A D = 9$

Hence, this is the answer.