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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
- Prove that int"o"^"a""f"("x")"dx"=""int"o"^"a""f "("a"-"x")"dx"dot
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- Evaluate : int("x"^2+1)/(("x"+1)^2)"dx"
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- Evaluate: int1/(1+x+x^2+x^3)\ dx
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- Find the coordinates of the point where the line ("x"+1"")/2=("y"+2...
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- Using properties of determinants, prove the following: \begin{vmatri...
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- Solve the following differential equation: "sinx"("dy")/("dx")+y"co...
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- Express the matrix [(7,1,5),(-4,0,3),(-2,6,1)]as the sum of a symmetri...
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- Two cards are drawn successively with replacement from a well shuff...
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- Find the image of the point (1,2, 3) in the plane "x"+2"y"+4"z"=38
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- A and B toss coin alternately till one of them gets a head and wins...
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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 (x^2+\ 1) with 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=6...
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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 properties of definite integrals, prove the following : into...
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- Evaluate: intcos4x cos3x\ dx
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