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If 2f(x).+ 3f(-x) = x^2-x+1, find the va...

If 2f(x).+ 3f(-x) = `x^2-x+1,` find the value of f(1).

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 6-EXERCISE
  1. Find the gradient of a straight line which is passes through the point...

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  2. Show that the points A(1,2,3) ,B(-1,-2,-1) ,C(2,3,2) and D(4,7,6) are ...

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  3. If 2f(x).+ 3f(-x) = x^2-x+1, find the value of f(1).

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  4. Evaluate:lim(xrarr0)(e^(x^2)-cosx)/x^2

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  5. Three Coins are tossed: What is the probability of getting at least on...

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  6. If mean = 10, coefficient of variation = 50%, find the standard deviat...

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  7. In three sets, A,B, C, show that (A cap B)' = A' cup B'.

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  8. If tantheta=(tanalpha+tanbeta)/(1+tanalphatanbeta),then show thatsin2t...

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  9. In any/\ABC, show that ‘c sin (A-B)/2=(a-b)cos(C/2)

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  10. Show that by mathematical induction, 3.5^(2n+1) + 2^(3n+1) is divisibl...

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  11. Ifx+iy=3/(2+costheta+i sintheta)then show that x^2 + y^2 = 4x - 3.

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  12. The sum of an infinite G.P series is 15 and the sum of the squares of ...

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  13. How many different arrangements be' possible in’EXAMINATION where two ...

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  14. A ray of light comming from (1, 2) to the x axis at A and reflecting w...

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  15. The co-ordinate of the two verties of a trainge are (15, 0) and (0 ,10...

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  16. Find the equation of the concentric- cricle of the circle x^2 + y^2 — ...

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  17. The distance between the point on x axis and (3, 2, —4) is m unit.Find...

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  18. Prove that,lim(nrarrprop)(1^3+2^3+3^3+....+n^3)/n^4=1/4

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  19. If y=(xsinx+cosx)/(xcosx-sinx),then show that dy/dx=x^2/(xcosx-sinx)^2

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  20. If n is a such real number that n>3 .then n^2>9 prove it by the method...

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