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SHARAM PUBLICATION-QUESTION PAPER 2018-EXERCISE
- 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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- Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]
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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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- The position vectors of two points A and B are 3hati+hatj+2hatk and ha...
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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 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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- By elementary operations, find A^(-1) for the following: A=[[1,1,0],[1...
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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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- Find the area enclosed by y=4x-1 and y^(2)=2x.
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- If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...
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