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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-C
- 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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- Maximise z = 22x+44y subject to the constraints x+y ge 3 , 3x + 8y l...
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- Maximise and Minimise z = 3x + 2y - 3 subject to the constraints: ...
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- Solve the following system of linear equations by matrix method : 4x +...
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- Using elementary transformations, find the inverse of matrix {:[(4,3...
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- An open box is to be made of a square sheet of tin with side 20 cm, by...
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- Find the height of right circular cylinder of maximum volume that can ...
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- Find the integrating factor of differentiate equation x(dy)/(dx)+y=x"c...
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- Find the angle between the given lines (x-1)/3=(3-y)/-1=(3z+1)/6 and ...
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- If P(A) = 3P(B) = 5/7 where A and B are independent events then find P...
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- If A = [[2,1],[3,-5]] and f(x) = x^2 - 2x + 3, then find f(A).
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