If the line \[x\cos \alpha +y\sin \alpha =p\] represents the common chord of the circles \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] and \[{{x}^{2}}+{{y}^{2}}+{{b}^{2}}(a>b),\] where A and B lie on the first circle and P and Q lie on the second circle, then AP is equal to

\[\sqrt{{{a}^{2}}+{{p}^{2}}}-\sqrt{{{b}^{2}}+{{p}^{2}}}\]

\[\sqrt{{{a}^{2}}+{{p}^{2}}}+\sqrt{{{b}^{2}}+{{p}^{2}}}\]

\[\sqrt{{{a}^{2}}-{{p}^{2}}}+\sqrt{{{b}^{2}}-{{p}^{2}}}\]

\[\sqrt{{{a}^{2}}-{{p}^{2}}}-\sqrt{{{b}^{2}}-{{p}^{2}}}\]

If the line \[x\cos \alpha +y\sin \alpha =p\] represents the common ch

1.	If the line \[x\cos \alpha +y\sin \alpha =p\] represents the common chord of the circles \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] and \[{{x}^{2}}+{{y}^{2}}+{{b}^{2}}(a>b),\] where A and B lie on the first circle and P and Q lie on the second circle, then AP is equal to
A.	\[\sqrt{{{a}^{2}}+{{p}^{2}}}+\sqrt{{{b}^{2}}+{{p}^{2}}}\]
B.	\[\sqrt{{{a}^{2}}-{{p}^{2}}}+\sqrt{{{b}^{2}}-{{p}^{2}}}\]
C.	\[\sqrt{{{a}^{2}}-{{p}^{2}}}-\sqrt{{{b}^{2}}-{{p}^{2}}}\]
D.	\[\sqrt{{{a}^{2}}+{{p}^{2}}}-\sqrt{{{b}^{2}}+{{p}^{2}}}\]
Answer» D. \[\sqrt{{{a}^{2}}+{{p}^{2}}}-\sqrt{{{b}^{2}}+{{p}^{2}}}\]

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If the line \[x\cos \alpha +y\sin \alpha =p\] represents the common chord of the circles \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] and \[{{x}^{2}}+{{y}^{2}}+{{b}^{2}}(a>b),\] where A and B lie on the first circle and P and Q lie on the second circle, then AP is equal to

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