The area of the triangle formed by the tangents from the points (h, k) to the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]and the line joining their points of contact is [MNR 1980]

\[a\text{ }\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{1/2}}}{{{h}^{2}}+{{k}^{2}}}\]

\[a\text{ }\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{3/2}}}{{{h}^{2}}+{{k}^{2}}}\]

\[\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{3/2}}}{{{h}^{2}}+{{k}^{2}}}\]

\[\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{1/2}}}{{{h}^{2}}+{{k}^{2}}}\]

The area of the triangle formed by the tangents from the points (h, k)

1.	The area of the triangle formed by the tangents from the points (h, k) to the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]and the line joining their points of contact is [MNR 1980]
A.	\[a\text{ }\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{3/2}}}{{{h}^{2}}+{{k}^{2}}}\]
B.	\[a\text{ }\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{1/2}}}{{{h}^{2}}+{{k}^{2}}}\]
C.	\[\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{3/2}}}{{{h}^{2}}+{{k}^{2}}}\]
D.	\[\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{1/2}}}{{{h}^{2}}+{{k}^{2}}}\]
Answer» B. \[a\text{ }\frac{{{({{h}^{2}}+{{k}^{2}}-{{a}^{2}})}^{1/2}}}{{{h}^{2}}+{{k}^{2}}}\]

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The area of the triangle formed by the tangents from the points (h, k) to the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]and the line joining their points of contact is [MNR 1980]

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