\[A=(3+4\cos \theta ,-5+4\sin \theta )\], |
\[B=\left( 3+4\cos \left( \theta +\frac{2\pi }{3} \right),-5+4\sin \left( \theta +\frac{2\pi }{3} \right) \right)\] |
\[C=\left( 3+4\cos \left( \theta +\frac{4\pi }{3} \right),-5+4\sin \left( \theta +\frac{4\pi }{3} \right) \right)\] |
STATEMENT-1: The orthocenter of the triangle is (3, -5). |
STATEMENT-2: The triangle ABC is equilateral. |
A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement- 1.
B) Statement-2 is true, Statement-2 is true and Statement-2 is NOT correct explanation for statement-1.
C) Statement-1 is true, Statement-2 is false.
D) Statement-1 is false, Statement-2 is true.
Correct Answer: A
Solution :
\[\Delta \,ABC\]is equilateral and its circumcenter is (3, -5) and circumradius is 4.You need to login to perform this action.
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