The equation of the chord of the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]having \[({{x}_{1}},{{y}_{1}})\]as its mid-point is [IIT 1983; MP PET 1986; Pb. CET 2003]

\[x{{x}_{1}}+y{{y}_{1}}={{a}^{2}}\]

\[x{{y}_{1}}+y{{x}_{1}}={{a}^{2}}\]

\[x{{x}_{1}}+y{{y}_{1}}=x_{1}^{2}+y_{1}^{2}\]

The equation of the chord of the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{

1.	The equation of the chord of the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]having \[({{x}_{1}},{{y}_{1}})\]as its mid-point is [IIT 1983; MP PET 1986; Pb. CET 2003]
A.	\[x{{y}_{1}}+y{{x}_{1}}={{a}^{2}}\]
B.	\[{{x}_{1}}+{{y}_{1}}=a\]
C.	\[x{{x}_{1}}+y{{y}_{1}}=x_{1}^{2}+y_{1}^{2}\]
D.	\[x{{x}_{1}}+y{{y}_{1}}={{a}^{2}}\]
Answer» D. \[x{{x}_{1}}+y{{y}_{1}}={{a}^{2}}\]

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The equation of the chord of the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]having \[({{x}_{1}},{{y}_{1}})\]as its mid-point is [IIT 1983; MP PET 1986; Pb. CET 2003]

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