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MODERN PUBLICATION-SAMPLE PAPER 2018-EXERCISE
- Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).
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- Show that sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=co...
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- Sole the following LPP graphically Minimize Z=4x+3y subject to 2x+...
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- A bag A contains 2 white and 3 red balls and another bag B contains 4 ...
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- If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...
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- Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...
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- Differentiate y=(siny)^(sin2x)
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- 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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