JEE Questions for Maths Applications Of Derivatives Quiz 16 - MCQExams.com

For the function f(x) = ex, a = 0, b = 1, the value of c in mean value theorem will be
  • log x
  • log (e – 1)
  • 0
  • 1

Maths-Applications of Derivatives-10949.png
  • 8.00
  • 5.25
  • 4.00
  • 6.25

Maths-Applications of Derivatives-10951.png
  • –1
  • –2
  • 1
  • 2

Maths-Applications of Derivatives-10953.png
  • 0
  • –1
  • 1
  • 2

Maths-Applications of Derivatives-10955.png

  • Maths-Applications of Derivatives-10956.png
  • 2)
    Maths-Applications of Derivatives-10957.png

  • Maths-Applications of Derivatives-10958.png

  • Maths-Applications of Derivatives-10959.png

Maths-Applications of Derivatives-10961.png

  • Maths-Applications of Derivatives-10962.png
  • 2)
    Maths-Applications of Derivatives-10963.png

  • Maths-Applications of Derivatives-10964.png
  • None of the above

Maths-Applications of Derivatives-10966.png

  • Maths-Applications of Derivatives-10967.png
  • 2)
    Maths-Applications of Derivatives-10968.png

  • Maths-Applications of Derivatives-10969.png
  • None of these

Maths-Applications of Derivatives-10971.png

  • Maths-Applications of Derivatives-10972.png
  • 2)
    Maths-Applications of Derivatives-10973.png

  • Maths-Applications of Derivatives-10974.png

  • Maths-Applications of Derivatives-10975.png

Maths-Applications of Derivatives-10977.png

  • Maths-Applications of Derivatives-10978.png
  • 7
  • 4
  • 2
A man height 1.8 metre is moving from a lamp post at the rate of 1.2 m/sec. If the height of the lamp post be 4.5 metre, then the rate at which the shadow of the man is lengthening is
  • 0.4 m/sec
  • 0.8 m/sec
  • 1.2 m/sec
  • None of these

Maths-Applications of Derivatives-10981.png

  • Maths-Applications of Derivatives-10982.png
  • 2)
    Maths-Applications of Derivatives-10983.png

  • Maths-Applications of Derivatives-10984.png

  • Maths-Applications of Derivatives-10985.png

Maths-Applications of Derivatives-10987.png
  • Maxima when n = –2, –4, –6,…
  • Maxima when n = –1, –3, –5,…
  • Minima when n = 0,2,4,…
  • Minima when n = 1,3,5,…
  • 2 and 3

Maths-Applications of Derivatives-10989.png

  • Maths-Applications of Derivatives-10990.png
  • 2)
    Maths-Applications of Derivatives-10991.png

  • Maths-Applications of Derivatives-10992.png

  • Maths-Applications of Derivatives-10993.png

Maths-Applications of Derivatives-10995.png

  • Maths-Applications of Derivatives-10996.png
  • 2)
    Maths-Applications of Derivatives-10997.png

  • Maths-Applications of Derivatives-10998.png

  • Maths-Applications of Derivatives-10999.png

Maths-Applications of Derivatives-11001.png

  • Maths-Applications of Derivatives-11002.png
  • 2)
    Maths-Applications of Derivatives-11003.png

  • Maths-Applications of Derivatives-11004.png

  • Maths-Applications of Derivatives-11005.png

Maths-Applications of Derivatives-11007.png
  • -2
  • -1
  • 0

  • Maths-Applications of Derivatives-11008.png

Maths-Applications of Derivatives-11010.png

  • Maths-Applications of Derivatives-11011.png
  • 2)
    Maths-Applications of Derivatives-11012.png

  • Maths-Applications of Derivatives-11013.png

  • Maths-Applications of Derivatives-11014.png

Maths-Applications of Derivatives-11016.png

  • Maths-Applications of Derivatives-11017.png
  • 2)
    Maths-Applications of Derivatives-11018.png

  • Maths-Applications of Derivatives-11019.png

  • Maths-Applications of Derivatives-11020.png
  • 2,3,4

Maths-Applications of Derivatives-11022.png

  • Maths-Applications of Derivatives-11023.png
  • 2)
    Maths-Applications of Derivatives-11024.png

  • Maths-Applications of Derivatives-11025.png

  • Maths-Applications of Derivatives-11026.png

Maths-Applications of Derivatives-11028.png
  • Local maxima at x = 1 + ln 2 and minima at x = e
  • Local maxima at x = 1 and local minima at x = 2
  • No local maxima
  • No local minima
  • 1 and 2

Maths-Applications of Derivatives-11030.png
  • f(x) is increasing on [–1, 2]
  • f(x) is continuous on [–1, 3]
  • f’(does not exist
  • f’(x) has the maximum value at x = 2
  • All
If the line ax + by + c = 0 is a normal to the curve xy = 1
  • a > 0, b > 0
  • a > 0, b < 0
  • a < 0, b < 0
  • a < 0, b < 0
  • 2 and 3

Maths-Applications of Derivatives-11033.png
  • Statement 1 is true, Statement 2 is true; statement 2 is a correct explanation for statement 1.
  • Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
  • Statement 1 is true, statement 2 is false
  • Statement 1 is false, statement 2 is true

Maths-Applications of Derivatives-11035.png
  • Statement 1 is true, Statement 2 is true; statement 2 is a correct explanation for statement 1.
  • Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
  • Statement 1 is true, statement 2 is false
  • Statement 1 is false, statement 2 is true
0:0:1


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