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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- Verify Lagranges mean value theorem for the following function: "...
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- Discuss the continuity of the following function at x = 0 : "f"("...
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- Solve the following differential equation: "x"("dy")/("dx")+"y"="x"lo...
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- Show that: int0^("pi"/2)"\ "sqrt(tan"x") +"\ "sqrt(cot"x")=sqrt(2)"pi...
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- Prove that the curves "x"="y"^2 and "x y"="k" intersect at right an...
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- Using properties of determinants, prove that following |(a+b+2c,a,b),(...
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- If |[x+2, 3],[x+5, 4]|=3 , find the value of x
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- Let "T" be the set of all triangles in a plane with "R" as relation...
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- Show that the points (1,0), (6,0), (0,0) are collinear.
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- If "f"("x")=sqrt((sec"x"-1)/(sec+1))" " find "f '"("x")dot Also f...
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- If xsqrt(1+y)+ysqrt(1+x)=0, find ("dy")/("dx") . To prove (dy)/(dx)=...
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- Find the maximum are of the isosceles triangle inscribed in the ell...
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- show that the semi vertical angle of a right circular cone of given ...
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- If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...
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- If "f"("x") is an invertible function, find the inverse of "f"("x")...
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- If [[(x+3y),y],[7-x,4]]=[(4,-1),(0,1)], find the values of x and y.
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- Solve for x: tan^-1((1-x)/(1+x))=1/2 tan^-1 x, x > 0
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- Evaluate: int("x"+cos6"x")/(3"x"^2+sin6"x")" dx"
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- Form the differential equation representing the parabolas having ve...
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- Solve the following differential equation: (3"x y"+"y"^2)"dx"+("x"^...
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