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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-C
- If A = [[2,1],[3,-5]] and f(x) = x^2 - 2x + 3, then find f(A).
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- If y=sin^-1((2x)/(1+x^2)), then find dy/dx.
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- Evaluate underset(2)overset(4)int(x^(2)-1)dx.
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- Evaluate int"tan" x dx.
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- Solve the differentiate equation (dy)/(dx)=1/(1+x^(2)),y(0)=3.
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- Evaluate inte^(3x)"cos"5xdx
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- Evaluate underset(0)overset(2)int(x^(2)+3)dx as limit of a sum.
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- Find the area of smaller region founded by the ellipse (x^(2))/9+(y^(2...
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- Find the particular solution of differential equations : [x sin^2(y/x)...
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- If f(x) = (3 - x^3)(1//3) then find fof(x). Also find f^-1
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- Check whether relation R = {(x, y): x le y^2, x, y in R}, defined on s...
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- For any two vectors veca and vecb, prove that : |veca+vecb|le|veca|+|v...
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- If y=("cos"x)^(x)+(x)^("cos"x) then find (dy)/(dx).
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- Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the i...
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- Bag I contains 5 red and 3 black balls and bag 11 contains 6 red and 5...
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- Prove that : sin^-1 (3/5) + cos^-1 (5/sqrt26) =tan^-1 (19/17)
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- If area of /\ABC is 12 square units and vertices are A (x, 2), B (4, -...
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- Find the equation of tangent to the curve y=3x^(2)-2x+5 which is paral...
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- Find the image of point (3,-1,2) in line (x+1)/(3)=(y-3)/(4)=(z+2)/(5)
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- Find the shortest distance between the lies : vec(r(1))=hati+2hatj-3...
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