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Set 10 of 10 · Questions 271-274 of 274

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JEE Main Mathematics · Application of Derivatives · Set 10 (Q271-274)

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  1. 271.
    A stone is dropped into a pond. Waves in the form of circles are generated and radius of outermost ripple increases at the rate of . Then area increased after 2 seconds is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  2. 272.
    If the length of the sub-tangent at any point to the curve is proportional to the abscissa, then ' ' is
    1. (1)any non-zero real number
    2. (2)2
    3. (3)-2
    4. (4)1
  3. 273.
    If the angle made by the tangent at the point (,) on the curve x = 12(t + sin t cos t),
    , with the positive x-axis is , then is equal to
    1. (1)
    2. (2)
    3. (3)27
    4. (4)48
  4. 274.
    The sum of the maximum and minimum values of the function f(x) = |5x – 7| + [ + 2x] is the interval , where [t] is the greatest integer t is __________