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MODERN PUBLICATION-SAMPLE PAPER 2020-EXERCISE
- Solve equation 3"tan"^(-1)1/((2+sqrt3)) - "tan"^(-1) 1/x ="tan"^(-1) 1...
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- Prove that tan (pi/4+1/2cos^(-1)""a/b)+tan(pi/4-1/2cos^(-1)""a /b)=(2b...
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- Two cards are drawn successively with replacement from a well-shuffled...
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- Find the inverse of the matrix [{:(4,-2),(3,1):}]
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- There are two families A and B. There are 4 men, 6 women and 2 childre...
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- Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y
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- There are 25 girls and 15 boys in class XI and 30 boys and 20 girls in...
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- Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...
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- 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(48.96)
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- Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.
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- int(2sinx+3cosx)/(3sinx+4cosx)dx=?
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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 : x(dy)/(dx) + y = y^2
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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 veca=3hati+hatj+2hatk,vecb=2hati-3hatj+4hatk then verify that vecat...
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- Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...
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