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Prove that : sin^-1 (3/5) + cos^-1 (5/sq...

Prove that : `sin^-1 (3/5) + cos^-1 (5/sqrt26) =tan^-1 (19/17)`

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Prove that : sin^-1 (3/5) + cos^-1 (15/17) =sin^-1 (77/85)

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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-C
  1. Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the i...

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  2. Bag I contains 5 red and 3 black balls and bag 11 contains 6 red and 5...

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  3. Prove that : sin^-1 (3/5) + cos^-1 (5/sqrt26) =tan^-1 (19/17)

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  4. If area of /\ABC is 12 square units and vertices are A (x, 2), B (4, -...

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  5. Find the equation of tangent to the curve y=3x^(2)-2x+5 which is paral...

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  6. Find the image of point (3,-1,2) in line (x+1)/(3)=(y-3)/(4)=(z+2)/(5)

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  7. Find the shortest distance between the lies : vec(r(1))=hati+2hatj-3...

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  8. Maximise z = 22x+44y subject to the constraints x+y ge 3 , 3x + 8y l...

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  9. Maximise and Minimise z = 3x + 2y - 3 subject to the constraints: ...

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  10. Solve the following system of linear equations by matrix method : 4x +...

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  11. Using elementary transformations, find the inverse of matrix {:[(4,3...

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  12. An open box is to be made of a square sheet of tin with side 20 cm, by...

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  13. Find the height of right circular cylinder of maximum volume that can ...

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  14. Find the integrating factor of differentiate equation x(dy)/(dx)+y=x"c...

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  15. Find the angle between the given lines (x-1)/3=(3-y)/-1=(3z+1)/6 and ...

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  16. If P(A) = 3P(B) = 5/7 where A and B are independent events then find P...

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  17. If A = [[2,1],[3,-5]] and f(x) = x^2 - 2x + 3, then find f(A).

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  18. If y=sin^-1((2x)/(1+x^2)), then find dy/dx.

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  19. Evaluate underset(2)overset(4)int(x^(2)-1)dx.

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  20. Evaluate int"tan" x dx.

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