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MODERN PUBLICATION-SAMPLE PAPER 2018-EXERCISE
- Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).
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- Evaluate int (dx)/((x+1)sqrt(1-x^2))
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- Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2
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- Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.
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- From the differential equation whose general solution is y=asint+be^t.
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- Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...
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- Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...
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- Prove that for any three vectors vec(a), vec(b) and vec(c), [vec(a) + ...
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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- Prove that the measure of the angle between two main diagonals of a cu...
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- Two vectors vec A and vec B are inclined to each other at an angle the...
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- Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...
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- In a triangle ABC "if" m/A =90^@, "prove that "tan"^(-1) b/(a+b) +"ta...
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- Solve the following LPP graphically : Maximize Z=3x(1) +2x(2) subj...
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- Solve the following system of equations by the matrix inversion method...
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- Two cards are drawn successively with replacement from a well-shuffled...
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- Find the coordinates of the point on the curve x^2y - x + y = 0 wher...
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- Evaluate: int ((2cosx+7)/(4-sinx))dx
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- Find the solution of the following differential equations: (4x+6y+5)dx...
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