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Let a, b, c in R. If f (x) = ax^(2) + bx...

Let a, b, `c in R`. If `f (x) = ax^(2) + bx + c` is such that `a + b + c = 3 and f(x + y) = f(x) + f(y) + xy, AA x, y in R, " then " underset(n =1)overset(10)sum f (n)` is equal to

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Let a, b, c in R . If f (x) = ax^(2) + bx + c is such that a + b + c = 3 and f(x + y) = f(x) + f(y) + xy, AA x, y in R, " then " sum_(n =1)^(10) f (n) is equal to

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MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )
  1. Let f(x) = tan^(-1) (sqrt(x+7)) + sec^(-1)(1/(sqrt(x(x+7)+1))), then t...

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  2. Let f : R to R be defined by f(x) = ax + b AA x in R Where a,b in ...

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  3. Suppose A and B are two sets. If the power set of A contains 64 elemen...

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  4. Let a, b, c in R. If f (x) = ax^(2) + bx + c is such that a + b + c = ...

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  5. Let f(x) = cos (ln x) , x gt 0. If f(xy) + f(x/y) = kf(x)f(y) AA x, ...

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  6. Suppose A and B are two finite sets. If the number of relations that c...

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  7. A class has 175 students. The following data shows the number of stude...

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  8. Let f(x) = sin(ln x) AA x gt 0. Suppose f(e^(kpix)) = f(x) AA x gt 0, ...

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  9. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x1))...

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  10. Let [x] greatest integer le x. Define f : R to R by f(x) = cos(5x) cos...

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  11. Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ...

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  12. Le A = {1,2, 3,4, 5}. Let {1,2,3} and {4, 5} be two equivalence classe...

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  13. Let A = {a, b, c,d). If an equivalence relation R on A has exactly one...

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  14. Let f(x) = cos^(2)x + cos^(2)(x + pi//3) + sin x sin (x + pi//3) and ...

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  15. Let f be an even function defined on R. Suppose f is defined on [0,4] ...

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  16. Let f : R-{1} to R be defined by f(x) =(1+x)/(1-x) AA x in R -{1} th...

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  17. Let f: [0, infty) to R be such that f(16/sqrt(1+sqrt(x))) = x AA x g...

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  18. Let f: N to R be a function satisfying the condition f(1) + f(2)……………....

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  19. The number of integers lying in the range of f(x) = 15/(12-5 sinx), x ...

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  20. Let P be a polynomial satisfying the equation P(x) P(1/x) = P(x) + P...

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