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If z= x + iy, x, y real, prove that : |x...

If z= x + iy, x, y real, prove that : `|x|+|y| le sqrt2 |z|`.

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JBD PUBLICATION-MODEL PAPER (11)-EXERCISE
  1. If AxxB={(a,x),(a,y),(b,x),(b,y)}. Find A and B

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  2. Prove that : sin (A + B) sin (A - B) = sin^2A- sin^2B.

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  3. Using principle of mathematical induction, prove that: 1/1.2.3+1/2.3.4...

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  4. Determine the number of ways of choosing 5 cards out of a deck of 52 c...

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  5. A question paper has two parts: Part A and Part B. each part containin...

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  6. A.M. between two numbers is 10 and their G.M is 8. Find the numbers.

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  7. The sum of first four terms of an A.P is 56. the sum of last four term...

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  8. If p is the length of perpendicular from the origin to the line whose ...

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  9. Find the equation of ellipse with major axis along x-axis passes throu...

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  10. Evaluate: underset(xrarr0)lim (3sinx-sin3x)/x^3

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  11. Find the derivative of the funciton f(x)=2x^2+3x-5 at x=-1. also prove...

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  12. State wheter is trure or false : If E and F are mutually exclusive eve...

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  13. If z=x+iy and |z+6|=|2z+3|. Then show that x^2+y^2=9.

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  14. If z= x + iy, x, y real, prove that : |x|+|y| le sqrt2 |z|.

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  15. Solve the inequalities given below for real x :- 1/2((3x)/5+4) ge 1/3 ...

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  16. To receive Grade ‘A’ in a course, one must obtain an average of 90 mar...

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  17. Evaluate:underset(xrarra)lim [(x+2)^(3/2)-(a+2)^(3/2)]/(x-a).

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  18. If y=sqrtx+1/(sqrtx), then show that 2x(dy)/(dx)+y = 2√ x

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  19. Find the mean deviation from median of the data:

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  20. Find the mean deviation from the mean for the following data:

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