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For every positive integer n,prove that `7^n-3^n` is divisible by 4 using principle of mathematical induction.

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MAXIMUM PUBLICATION-QUESTION PAPER MARCH 20-EXAMPLE
  1. Derivative of f(x)=1+x+x^2+x^3+…+x^50 at x=1 is a)50 b)1250 c)1275 d)1...

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  2. Find lim(xrarr0) f(x) if it exists, where f(x)={(abs[x]/x,,x,!=,0),(...

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  3. For every positive integer n,prove that 7^n-3^n is divisible by 4 usin...

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  4. Modulus of a complex number Z is 2 and arg(z)=pi/3,write the complex ...

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  5. Solve graphically: 2x+yge4,x+yle3,2x-3yle6 xge0,yge0

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  6. Expand (x+1/x)^6

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  7. Find the middle term in the expansion of (x/3+9y)^10

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  8. Let A(1,2) be a fixed point and 'P' be a variable point in the same pl...

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  9. Consider the following ellipse: Find the equation of the ellipse.

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  10. Write the contrapositive of the given statement. "If a number is div...

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  11. Verify by the method of contradiction p:sqrt5 is irrational.

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  12. If E and F are two events such that P(E)=1/4,P(F)=1/2,P(EandF)=1/8,fin...

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  13. If E and F are two events such that P(E)=1/4,P(F)=1/2,P(EandF)=1/8,fin...

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  14. A committee of two persons is selected from two men and two women. Wha...

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  15. A committee of two persons is selected from two men and two women. Wha...

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