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  • Question 1
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  • Question 2
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    A stone thrown vertically upward satisfied the equation s = 64t - 16t2, where s is in metre and t is in second. What is the time required to reach the maximum height by the stone?

  • Question 3
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    The area (in sq. units) of the smaller region lying above the X-axis and bounded between the circle x2 + y2 = 2ax and the parabola y2 = ax is

  • Question 4
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  • Question 5
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  • Question 6
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    If y(x) is a solution of the differential equation 

  • Question 7
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    Let the point P of the focal chord PQ of the parabola y2 =16x be (1,−4). If the focus of the parabola divides the chord PQ in the ratio m:n, gcd (m,n) = 1,. Then m2 + n2 is equal to

  • Question 8
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    Let the area of the triangle formed by a straight line L : x + by + c = 0 with co-ordinate axes be 48 square units. If the perpendicular drawn from the origin to the line L makes an angle of 45∘ with the positive x-axis, then the value of b2 + c2 is

  • Question 9
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    The centroid of a variable triangle ABC is at the distance of 5 units from the origin. If A = (2,3) and B = (3,2),then the locus of C is

  • Question 10
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