1) The foci of the ellipse x2/16 + y2/b2 = 1 and the hyperbola x2/144 - y2/81 = 1/25 coinside. Then the value of b2 is

a )   5 b )   7 c )   9 d )   1

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2) The normal at point (b t12, 2b t1) on a parabola meets the parabola again in the point (b t22, 2b t2)

a )   t2 = - t1 + 2/t1 b )   t2 = t1 - 2/t1 c )   t2 = t1 + 2/t1 d )   t2 = - t1 - 2/t1

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3) If th etwo circles (x - 1)2 + (y - 3)2 = r2 and x2 + y2 -8x + 2y + 8 = 0 intersect in two distinct points , then

a )   r < 2 b )   r = 2 c )   r > 2 d )   2 < r < 8

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4) The degree and order of the differential equation of the family of all parabolas whose axis is x-axis , are respectively

a )   1 , 2 b )   3 , 2 a )   2 , 3 d )   2 , 1

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