Home
Class 14
MATHS
Each item under List I is associated wit...

Each item under List I is associated with one or more items under List II
`{:("List I","List II"),("A sin x","(i)perioidic function"),("B cos x","(ii) Non periodic function"),("C tan x","(iii)Continous at every point on"(-infty,infty)),(,"(iv)Discontinous function"),(,"(v)Differentiable at every point on"(-infty,infty)),(,"(vi)Not differentiable at every point on"(-infty,infty)),(,"(vii)Has period" pi),(,"(viii)Has period" 2pi),(,"(ix)Increase on" (0,(pi)/(2))),(,"(x)Decreases on" (0,(pi)/(2))),(,"(xi)(Increases on" ((pi)/(2),pi)),(,"(xii)Decrease on" ((pi)/(2),pi)):}`
B is associated with

A

(i), (iv), (vi), (viii), (ix), (xxi )

B

(ii), (iv), (vi), (viii), (ix)

C

(i), (iv), (vi), (vii), (ix)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |74 Videos
  • DIFFERENTION

    PUNEET DOGRA|Exercise Practice Sheet|20 Videos
  • HEIGHT & DISTANCE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |37 Videos

Similar Questions

Explore conceptually related problems

show that the function f(x)=sin x is strictly increasing in (0,(pi)/(2)) strictly decreasing in ((pi)/(2),pi)

Show that f(x)=log sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi).

The function f(x)=tan^(-1)(sin x+cos x) is an increasing function in (-(pi)/(2),(pi)/(4))(b)(0,(pi)/(2))(-(pi)/(2),(pi)/(2))(d)((pi)/(4),(pi)/(2))

Prove that function given by f(x)=sin x is (i) Strictly increasing in (-(pi)/(2),(pi)/(2)) (ii) Strictly decreasing in ((pi)/(2),(3pi)/(2))

Show that f(x)=sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi) and neither increasing nor decreasing in (0,pi)

Show that the fucntion given by f(x) = sinx is : (a) strictly increasing in (0,(pi)/(2)) (b) strictly decreasing in ((pi)/(2),pi) (c ) neither increasing nor decreasing in (0, pi) .

Prove the following (i) f(x)=sinx is : (I) strictly increasing in (0, (pi)/(2)) (II) strictly decreasing in ((pi)/(2), pi) (III) neither increasing nor decreasing in (0, pi) (ii) f(x)=2sinx+1 is an increasing function on [0, (pi)/(2)].

Show that the function f(x)=cot^(-1)(sin x+cos x) is decreasing on (0,pi/4) and increasing on (pi/4,pi/2)

PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
  1. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

    Text Solution

    |

  2. Let f(x) = ax + b and g(x)= cx+ d. Then f (g(x)) = g (fex) is equivale...

    Text Solution

    |

  3. The average of all the non negative integers upto 99 is:

    Text Solution

    |

  4. If f be a function from the set of natural numbers to the set of even ...

    Text Solution

    |

  5. What is the range of the function f(x)=(|x|)/(x), x ne 0?

    Text Solution

    |

  6. Let N be the set of natural numbers and f: N rarr N be a function give...

    Text Solution

    |

  7. If f.R rarrR be a function whose inverse is (x+5)/(3) what is the val...

    Text Solution

    |

  8. Consider the following statement: I If f(x)=x^(3) and g(y)=y^(3) then...

    Text Solution

    |

  9. IF 6 le x le 8 then which one of the following is correct

    Text Solution

    |

  10. If f(xy) = f(x)f(y), then f(t) may be of the form

    Text Solution

    |

  11. Which of the following statements is correct?

    Text Solution

    |

  12. What is the range of f(x) = cos2x-sin2x ?

    Text Solution

    |

  13. Consider the following statements I Every function has a primitive II ...

    Text Solution

    |

  14. f(x) = (x+3)^(2) , then what is the value of f(-3)?

    Text Solution

    |

  15. If x^(log(7)x)gt7 where x gt 0. Then which one of the following is cor...

    Text Solution

    |

  16. {:(List-I,List-II),((I) psi^(2)"depends upon upon distance",(a)"p-orbi...

    Text Solution

    |

  17. Each item under List I is associated with one or more items under List...

    Text Solution

    |

  18. Each item under List I is associated with one or more items under List...

    Text Solution

    |

  19. A mapping f: R rarr R which is defined as f(x) = cos x: x in R is:

    Text Solution

    |

  20. Let R rarr R be a function defined as f(x) = |x| for each x in R . - ...

    Text Solution

    |