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For any two vectors vecaandvecb, prove t...

For any two vectors `vecaandvecb`, prove that `|veca+vecb|le|veca|+|vecb|`. Also write the name of this inequality.

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For any two vectors veca and vecb , prove that |veca.vecb|le|veca||vecb| Also write the name of this inequality.

For any two vectors veca and vecb , prove that : |veca+vecb|le|veca|+|vecb| . Also, write the name of this inequality

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OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-B
  1. If f(x) = (3 - x^3)(1//3) then find fof(x). Also find f^-1

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  2. Check whether relation R = {(x, y): x le y^2, x, y in R}, defined on s...

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  3. For any two vectors vecaandvecb, prove that |veca+vecb|le|veca|+|vecb|...

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

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

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

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

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

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

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

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

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

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

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

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  15. Evaluate int"tan" x dx.

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  16. Solve the differentiate equation (dy)/(dx)=1/(1+x^(2)),y(0)=3.

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

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  18. Find the angle between the line x-1/3=3-y/-1=3z+1/6 and the plane 3x -...

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

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

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