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I: Let A ( 0, 0) , B ( cos alpha, s...

I: Let ` A ( 0, 0) , B ( cos alpha, sin alpha) , C ( sin alpha - cos alpha ) ` are vertices of a triangle then the locus of the centroid of triangle is ` 9 x ^ 2 + 9y^ 2 = 4 `.
II. The locus of the point ` ( a cos theta, b sin theta ) ` is ` ( x ^ 2 )/( a ^ 2 ) + ( y^ 2 )/(b ^ 2 ) = 1 `

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II are true

Text Solution

Verified by Experts

The correct Answer is:
B
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