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  • Question 1
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    ifx2+y2=t-1tandx4+y4=t2+1t2thenfinddydx

  • Question 2
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    \(\int \frac{\sin ^{2} x-\cos ^{2} x}{1-2 \sin ^{2} x \cos ^{2} x} d x\) is equal to

  • Question 3
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    The equation y=±√3x, y=1 are the sides of

  • Question 4
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    The minimum value of linear objective function z=2x+2y, under linear constraints 3x+2y≥12,, x+3y≥11 and x, y≥0x,, is

  • Question 5
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    If f(x) = (x + 1)2 - 1 (x ≥ - 1), then the set S = {x : f(x) = f -1(x)} contains

  • Question 6
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    The differential equation of all straight lines passing through the origin is

  • Question 7
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    Let p be the statement 'Ravi races' and let q be the statement 'Ravi wins'. Then, the verbal translation of ∼(p∨(∼q))

  • Question 8
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    The positive value of parameter ‘a’ for which the area of region bounded by y=sinax,y=0 from x=π / 3a to  x=πa x=π / a is 3 square unit, is

    { given that graph of y=sinax lies above the axis from x=π / a to x=π / 3a

  • Question 9
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    Solution of \(\frac{d y}{d x}=\frac{x \log x^{2}+x}{\sin y+y \cos y}\) is:

  • Question 10
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    If \(t_{n}=1+\frac{1}{n}, n=1,2,3, \ldots\) find the value of \(t_{1} \times t_{2} \times t_{3} \times \ldots\) t \(_{25}\)

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