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Q.

An ellipse of major and minor axes of length  3 and 1 respectively, slides along the coordinate axes and always remains confined in the first quadrant. The locus of the centre of the ellipse will be the arc of a circle. The length of this arc is

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a

π

b

π3

c

π6

d

π2

answer is D.

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Detailed Solution

Locus of the centre is x2+y2=1 If C1  and  C2 be the centre of the ellipse is extreme positions, then  C1OC2=π6
Now  I=rθ=1π6=π6
 

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