Vertices of a variable triangle are \[(3,4),\]\[(5cos\theta ,5sin\theta )\] and \[(5sin\theta ,-5cos\theta ),\]where \[\theta \in R.\] Locus of its orthocenter is

\[{{(x+y-1)}^{2}}+{{(x-y-7)}^{2}}=100\]

\[{{(x+y-7)}^{2}}+{{(x-y-1)}^{2}}=100\]

\[{{(x+y-7)}^{2}}+{{(x+y-1)}^{2}}=100\]

\[{{(x+y-7)}^{2}}+{{(x-y+1)}^{2}}=100\]

Vertices of a variable triangle are \[(3,4),\]\[(5cos\theta ,5sin\thet

1.	Vertices of a variable triangle are \[(3,4),\]\[(5cos\theta ,5sin\theta )\] and \[(5sin\theta ,-5cos\theta ),\]where \[\theta \in R.\] Locus of its orthocenter is
A.	\[{{(x+y-1)}^{2}}+{{(x-y-7)}^{2}}=100\]
B.	\[{{(x+y-7)}^{2}}+{{(x-y-1)}^{2}}=100\]
C.	\[{{(x+y-7)}^{2}}+{{(x+y-1)}^{2}}=100\]
D.	\[{{(x+y-7)}^{2}}+{{(x-y+1)}^{2}}=100\]
Answer» E.

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Vertices of a variable triangle are \[(3,4),\]\[(5cos\theta ,5sin\theta )\] and \[(5sin\theta ,-5cos\theta ),\]where \[\theta \in R.\] Locus of its orthocenter is

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