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Let P(x)=a0+a1x^2+a2x^4++an x^(2n) be a ...

Let `P(x)=a_0+a_1x^2+a_2x^4++a_n x^(2n)` be a polynomial in a real variable `x` with 0`<` `a_0` `<` `a_1` `<` `a_2` `<<` `a_n` . The function `P(x)` has a. neither a maximum nor a minimum b. only one maximum c. only one minimum d. only one maximum and only one minimum e. none of these

A

niether a maximum nor a minimum

B

only one maximum

C

only one minimum

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Exercise
  1. For the curve y=x e^x , the point

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  2. The greatest value of the function f(x)=(sin2x)/(sin(x+pi/4)) on the i...

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  3. Let P(x)=a0+a1x^2+a2x^4++an x^(2n) be a polynomial in a real variable ...

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  4. A differentiable function f(x) has a relative minimum at x=0. Then the...

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  5. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

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  6. If the function f(x) = x^3 + 3(a-7)x^2 +3(a^2-9)x-1 has a positive ...

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  7. Show that the maximum value of (1/x)^x is e^(1/e)dot

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  8. If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its m...

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  9. The maximum distance of the point (k,0) from the curve 2x^(2) +y^(2)...

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  10. A cubic function f(x) vanishes at x=-2 and has relative minimum/maximu...

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  11. An isosceles triangle of vertical angle 2theta is inscribed in a ...

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  12. Find minimum value of px+qy where p>0, q>0, x>0, y>0 when xy=r,^2 with...

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  13. The maximum slope of curve y =-x^(3)+3x^(2)+9x-27 is

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  14. If (x+c)/(1+x^2) where c is a constant , then when y is stationary , x...

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  15. N Characters of information are held on magnetic tape, in batches of x...

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  16. Statement I If A gt 0 , B gt 0 and A+B= pi/3, then the maximum value o...

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  17. The largest value of 2x^(3)-3x^(2)-12x+5 for -2 le x le 2 occurs when

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  18. The first and second order derivatives of a function f(x) exit at all ...

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  19. The minimum value of 2^(x^2-3)^(3) +27 is 2^(27) (b) 2 (c) 1 (d) ...

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  20. Let f(x) =cosx sin2x. Then , min (f(x):-pilexlepi) is

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