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XII BOARDS PREVIOUS YEAR-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 : int("dx")/("x"^3+"x"^2+"x"+1)
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- Evaluate int0^2("x"^2+"\ x"+2) as lim it of sums.
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- Find the area of the region bounded by the parabola "x"^2=4"y\ " an...
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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 |(3a,-a+b,-a+c),...
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- Solving the following differentia equation: "s i n x"("dy")/("dx")...
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- Express the matrix as A=[(1,3,5),(-6,8,3),(-4,6,5)] the sum of a symme...
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- Evaluate : int(2"x"dot"tan"^(-1)x)/(1+"x"^4)" dx"
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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"=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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