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A man 2 blank m e t r e s tall walks away from a lamp post 5 blank m e t r e s height at the rate of 4.8 km/hr. The rate of increase of the length of his shadow is

  1. 1.6 fraction numerator k m over denominator h r end fraction  
  2. 6.3 fraction numerator k m over denominator h r end fraction  
  3. 5 fraction numerator k m over denominator h r end fraction  
  4. 3.2 blank k m divided by h r  

The correct answer is: 3.2 blank k m divided by h r

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Consider the following statements S and R :
S: Both sin invisible function application x and cos invisible function application x are decreasing function in open parentheses fraction numerator pi over denominator 2 end fraction comma pi close parentheses

R: If a differentiating function decreases in open parentheses a comma blank b close parentheses then its derivative also decreases in open parentheses a comma blank b close parentheses

Which of the following is true?

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Coordinates of a point on the curve y equals x log invisible function application x at which the normal is parallel to the line 2 x minus 2 y equals 3, are

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If the velocity upsilon of a particle moving along a straight line and its distance s from a fixed point on the line are related byupsilon to the power of 2 end exponent equals a to the power of 2 end exponent plus s to the power of 2 end exponent comma then its acceleration equals

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The angle between the tangents to the curve y to the power of 2 end exponent equals 2 a x at the point where x equals fraction numerator a over denominator 2 end fraction, is

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f left parenthesis x right parenthesis satisfies the conditions of Rolle’s theorem in [1, 2] and f left parenthesis x right parenthesis is continuous in

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A man goes in for an examination in which there are four papers with a maximum of 'm' marks for each paper then the number of ways of getting 2m marks is

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The number of ways in which 12 students can be distributed among three sections is -

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