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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2020-PREVIOUS YEAR QUESTION
- If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2
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- What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...
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- Find the approximate value of sqrt(0.24).
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- Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...
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- Examine the contiunity of the following functions at the indicated poi...
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- Evaluate the following integrals : int(0)^(pi//2)log|(4+3sinx)/(4+3c...
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- The area between x=y^(2) and x=4 is divided into two equal parts by th...
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- Solve the following differential equation:- x(dy)/(dx) + y = y^2 lnx
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- Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.
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- Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx
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- If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...
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- Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...
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- Find the perpendicular distance of the point (-1,3,9) from the line (x...
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- Prove that the measure of the angle between two main diagonals of a cu...
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- Prove that the four points with position vectors 2veca+3vecb-vecc, vec...
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- If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...
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- The probability of a shooter hitting a target is (3)/(4) Find the mini...
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- Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...
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- Show that the semivertical angle of a cone of given slant height is ta...
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- If y=x^(sinx)+x^3 (sqrt(x^2+4))/(sqrt(x^3+3)) find (dy)/(dx).
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