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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- A and B toss coin alternately till one of them gets a head and wins...
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- If "y"=sqrt("x")+1/"x", Show that 2"x"("dy")/("dx")+"y"=2"\ "sqrt("...
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- If y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) fin...
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- Differentiate with (x^2+\ 1) respect to x from first principle.
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- Evaluate : int(sinx)/((1-cosx)\ (2-cosx)\ dx
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- Using matrices, solve the following system of equations : x+2y-3z...
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- If y=sin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)+\ y=0
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- Verify Rolle's theorem for the function f(x)=\ x^2-5x+4\ on [1, 4].
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- Find the projection of vec b+\ vec c on vec a where vec a=2 hat i-...
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- Evaluate int0^2(x^2+\ 2x+1)dx as limit of a sum.
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- Using integration, find the area of the region enclosed between the...
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- Using properties of definite integrals, prove the following : into...
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- Evaluate: intcos4x cos3x\ dx
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- Evaluate : int(1+x^2)/(1+x^4)dx
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- A card is drawn at random from a well-shuffled pack of 52 cards. Fi...
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- Solve the following differential equation : xcosy\ dy=(x e^xlogx+e^x)...
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- If A=[(2,-3),(3,4)], show the A^2-6A+17I=0. Hence find A^-1
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- Using the properties of determinants, prove that following |(a-b,-c^2,...
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- An urn contains 7 red and 4 blue balls. Two balls are drawn at rand...
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- Find the equation of the sphere passing through the points (3,0,0), (0...
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