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Differentiate

1)

2)

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Calcualate range of   if

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Given a non empty set X.Let be defined as .Show thatempty set is identity for the operation * and all the elements A of P(X) are invertible with

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Sove this determinant

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excellent
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Find equation of circle passing through (0,1) and touching the curve   at (2,4)

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Find locus of feet of normals drawn to the family of circles   from point

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