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Using principle of mathematical inductio...

Using principle of mathematical induction, prove that:
1+3+5+………..+(2n-1)=`n^2`.

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JBD PUBLICATION-MODEL PAPER (5)-EXERICSE
  1. If A={3,5},B={2,4,6}. Find n(BxxA)

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  2. Prove that: sin 3x + sin 2x -sin x = 4sin x cosfrac(x)(2)cosfrac(3x)(2...

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  3. Using principle of mathematical induction, prove that: 1+3+5+………..+(2n...

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  4. A bag contains 5 black and 6 red balls. Determine the number of ways i...

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  5. Find the value of r if 5. ^4Pr= 6. "^5P(r-1).

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  6. If the sum of n terms of an A.P is nP+1/2 n(n-1)Q, where P and Q are c...

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  7. If the pth, qth and rth terms of an A.P. be x,y,z repsectively, then s...

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  8. Find a point on the x-axis which is equidistant from the points (7, 6)...

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  9. Find the equation of ellipse that satisfy the given conditions: Length...

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  10. Find the derivative of 1/x^2

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  11. Find underset(xrarr0)lim f(x), where f(x)={(|x|/x, xne0),(0, x=0):}

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  12. One card is drawn from a well shuffled deck of 52 cards. If each outco...

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  13. One card is drawn from a well shuffled deck of 52 cards. If each outco...

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  14. One card is drawn from a well shuffled deck of 52 cards. If each outco...

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  15. If z=x+iy and |z|=1, show that the complex number z1=(z-1)/(z+1) is pu...

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  16. Solve the following system of inequalities graphically: 3x + 2y le 12,...

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  17. Find all pairs of consecutive odd natural numbers, both of which are l...

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  18. If f(x)= {:(mx^(2)+n, x lt 0),(nx +m,0le x le 1),(nx^(3) +m, x gt 1):}...

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  19. Find the derivative of (secx - 1)/(secx + 1)

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  20. Find the mean deviatioan about the mean for the following data:

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