JEE Questions for Maths Applications Of Derivatives Quiz 14 - MCQExams.com


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  • 0
  • 1
  • 2
  • Infinite

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  • Maths-Applications of Derivatives-10634.png
  • 2)
    Maths-Applications of Derivatives-10635.png
  • 1
  • 0
x and y be two variables such that x > 0 and x y = 1. Then the minimum value of x + y is
  • 2
  • 3
  • 4
  • 0
What are the minimum and maximum values of the function x5 – 5x4 + 5x3 – 10
  • –37, –9
  • 10, 0
  • It has 2 min. and 1 max.values
  • It has 2 max. and 1 min. values
The minimum value of 2x + 3y, where xy = 6 is
  • 12
  • 9
  • 8
  • 6
The maximum and minimum values of x3 – 18x2 + 96x in interval (0,are
  • 160, 0
  • 60, 0
  • 160, 128
  • 120, 28
The maximum value of sin x (1 + cos x) will be at the

  • Maths-Applications of Derivatives-10641.png
  • 2)
    Maths-Applications of Derivatives-10642.png

  • Maths-Applications of Derivatives-10643.png

  • Maths-Applications of Derivatives-10644.png

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  • Maths-Applications of Derivatives-10647.png
  • 2)
    Maths-Applications of Derivatives-10648.png

  • Maths-Applications of Derivatives-10649.png

  • Maths-Applications of Derivatives-10650.png

Maths-Applications of Derivatives-10652.png

  • Maths-Applications of Derivatives-10653.png
  • 2)
    Maths-Applications of Derivatives-10654.png

  • Maths-Applications of Derivatives-10655.png
  • None of these

Maths-Applications of Derivatives-10657.png

  • Maths-Applications of Derivatives-10658.png
  • 2)
    Maths-Applications of Derivatives-10659.png

  • Maths-Applications of Derivatives-10660.png

  • Maths-Applications of Derivatives-10661.png

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  • Maths-Applications of Derivatives-10664.png
  • 2)
    Maths-Applications of Derivatives-10665.png

  • Maths-Applications of Derivatives-10666.png

  • Maths-Applications of Derivatives-10667.png

Maths-Applications of Derivatives-10669.png

  • Maths-Applications of Derivatives-10670.png
  • 2)
    Maths-Applications of Derivatives-10671.png
  • 1

  • Maths-Applications of Derivatives-10672.png
The real number x when added to its inverse gives the minimum value of the sum at x equal to
  • –2
  • 2
  • 1
  • –1
The denominator of a fraction number is greater than 16 of the square of numerator, then least value of the number is

  • Maths-Applications of Derivatives-10675.png
  • 2)
    Maths-Applications of Derivatives-10676.png

  • Maths-Applications of Derivatives-10677.png

  • Maths-Applications of Derivatives-10678.png
The real number which most exceeds its cube is

  • Maths-Applications of Derivatives-10680.png
  • 2)
    Maths-Applications of Derivatives-10681.png

  • Maths-Applications of Derivatives-10682.png
  • None of these

Maths-Applications of Derivatives-10684.png

  • Maths-Applications of Derivatives-10685.png
  • 2)
    Maths-Applications of Derivatives-10686.png

  • Maths-Applications of Derivatives-10687.png

  • Maths-Applications of Derivatives-10688.png
A one of maximum value is inscribed in a given sphere, then ration of the height of the cone to diameter of the sphere is

  • Maths-Applications of Derivatives-10690.png
  • 2)
    Maths-Applications of Derivatives-10691.png

  • Maths-Applications of Derivatives-10692.png

  • Maths-Applications of Derivatives-10693.png

Maths-Applications of Derivatives-10695.png
  • More than one minimum
  • Exactly one minimum
  • At least one maximum
  • None of the above
The function f(x) = x + sin x has
  • A minimum but no maximum
  • A maximum but no minimum
  • Neither maximum nor minimum
  • Both maximum and minimum

Maths-Applications of Derivatives-10698.png

  • Maths-Applications of Derivatives-10699.png
  • 2)
    Maths-Applications of Derivatives-10700.png

  • Maths-Applications of Derivatives-10701.png

  • Maths-Applications of Derivatives-10702.png
If P = (1,1), Q = (3, and R is a point on x - axis then the value of PR + RQ will be minimum at

  • Maths-Applications of Derivatives-10704.png
  • 2)
    Maths-Applications of Derivatives-10705.png

  • Maths-Applications of Derivatives-10706.png

  • Maths-Applications of Derivatives-10707.png

Maths-Applications of Derivatives-10709.png

  • Maths-Applications of Derivatives-10710.png
  • 2)
    Maths-Applications of Derivatives-10711.png

  • Maths-Applications of Derivatives-10712.png

  • Maths-Applications of Derivatives-10713.png
Given, P(x) = x4 + bx2 + cx + d such that x = 0 is the only real root of P’(x) = 0. If P(–< P(1), then in the interval [–1, 1]
  • P(–is not minimum and P(is the maximum of P
  • P(–is not minimum but P(is the maximum of P
  • P(–is the minimum but P(is not the maximum of P
  • Neither P(–is the minimum nor P(is the maximum of P

Maths-Applications of Derivatives-10716.png
  • 0
  • 12
  • 16
  • 32

Maths-Applications of Derivatives-10718.png
  • No maxima and minima
  • One maximum and one minimum
  • Two maxima
  • Two minima

Maths-Applications of Derivatives-10720.png

  • Maths-Applications of Derivatives-10721.png
  • 2)
    Maths-Applications of Derivatives-10722.png
  • 1

  • Maths-Applications of Derivatives-10723.png

Maths-Applications of Derivatives-10725.png
  • –2
  • 0
  • 3
  • None of these
The perimeter of a sector is p. The area of the sector is maximum when its radius is

  • Maths-Applications of Derivatives-10727.png
  • 2)
    Maths-Applications of Derivatives-10728.png

  • Maths-Applications of Derivatives-10729.png

  • Maths-Applications of Derivatives-10730.png

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  • Maths-Applications of Derivatives-10733.png
  • 2)
    Maths-Applications of Derivatives-10734.png

  • Maths-Applications of Derivatives-10735.png

  • Maths-Applications of Derivatives-10736.png

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  • No extrema
  • One extremum
  • Two extrema
  • Four extrema
On [1, e] the greatest value of x2 log x

  • Maths-Applications of Derivatives-10740.png
  • 2)
    Maths-Applications of Derivatives-10741.png

  • Maths-Applications of Derivatives-10742.png
  • None of these
The maximum value of xy = 8 is
  • 20
  • 16
  • 24
  • 8
  • 4
If ab = 2a + 3b, a > 0, b > 0 then the minimum value of ab is
  • 12
  • 24

  • Maths-Applications of Derivatives-10745.png
  • None of these
If PQ and PR are the two sides of a triangle, then the angle between them which gives maximum area of the triangle is

  • Maths-Applications of Derivatives-10747.png
  • 2)
    Maths-Applications of Derivatives-10748.png

  • Maths-Applications of Derivatives-10749.png

  • Maths-Applications of Derivatives-10750.png
The function y = a(1 – cos x) is maximum when x =

  • Maths-Applications of Derivatives-10752.png
  • 2)
    Maths-Applications of Derivatives-10753.png

  • Maths-Applications of Derivatives-10754.png

  • Maths-Applications of Derivatives-10755.png

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  • 50
  • 25
  • 75
  • 55

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  • Two maximum and two minimum value
  • Two maximum and one minimum value
  • One maximum and one minimum value
  • None of the above

Maths-Applications of Derivatives-10761.png
  • 1
  • 0

  • Maths-Applications of Derivatives-10762.png
  • –1

Maths-Applications of Derivatives-10764.png
  • 1
  • –1
  • 0
  • 2
The minimum value of f(x) = |3 – x| + 7 is
  • 0
  • 6
  • 7
  • 8
  • 10

Maths-Applications of Derivatives-10767.png
  • 1
  • –1
  • 2
  • –2
The displacement of a particle at time t is x, where x = t4 – kt3. If the velocity of the particle at time t = 2 is minimum, then
  • k = 4
  • k = – 4
  • k = 8
  • k = – 8

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  • 2)
    Maths-Applications of Derivatives-10772.png

  • Maths-Applications of Derivatives-10773.png

  • Maths-Applications of Derivatives-10774.png

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  • Local maxima
  • Local minima
  • Point of inflexion
  • None of these

Maths-Applications of Derivatives-10778.png

  • Maths-Applications of Derivatives-10779.png
  • 2)
    Maths-Applications of Derivatives-10780.png

  • Maths-Applications of Derivatives-10781.png

  • Maths-Applications of Derivatives-10782.png

Maths-Applications of Derivatives-10784.png
  • 1
  • –1
  • 0
  • None of these

Maths-Applications of Derivatives-10786.png

  • Maths-Applications of Derivatives-10787.png
  • 2)
    Maths-Applications of Derivatives-10788.png

  • Maths-Applications of Derivatives-10789.png

  • Maths-Applications of Derivatives-10790.png

Maths-Applications of Derivatives-10792.png
  • 1
  • 2)
    Maths-Applications of Derivatives-10793.png

  • Maths-Applications of Derivatives-10794.png

  • Maths-Applications of Derivatives-10795.png

Maths-Applications of Derivatives-10797.png

  • Maths-Applications of Derivatives-10798.png
  • 2)
    Maths-Applications of Derivatives-10799.png

  • Maths-Applications of Derivatives-10800.png
  • None of these

Maths-Applications of Derivatives-10802.png

  • Maths-Applications of Derivatives-10803.png
  • 2)
    Maths-Applications of Derivatives-10804.png

  • Maths-Applications of Derivatives-10805.png
  • None of these
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