Home
Class 12
MATHS
Let f(x)=ab sin x+bsqrt(1-a^(2))cosx+c, ...

Let `f(x)=ab sin x+bsqrt(1-a^(2))cosx+c`, where `|a|lt1,bgt0` then

A

maximum value of f(x) is b, if c = 0

B

difference of maximum and minimum value of f(x) is 2b

C

`f(x)=c, if x=-cos^(-1)a`

D

`f(x)=c, if x=cos^(-1)a`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|33 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|27 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=a bsinx+bsqrt(1-a^2)cosx+c , where |a| >0 then (a) maximum value of f(x) is b if c=0 (b) difference of maximum and minimum values of f(x) is 2b (c) f(x)=c if x= -cos^(-1)a (d) f(x)=c if x= cos^(-1)a

Consider the function f(x)=((ax+1)/(bx+2))^(x) , where a,bgt0 , the lim_(xtooo)f(x) is

Let f(x)=a sin x+c , where a and c are real numbers and a>0. Then f(x)lt0, AA x in R if

Let f(x)=[cosx+ sin x], 0 lt x lt 2pi , where [x] denotes the greatest integer less than or equal to x. The number of points of discontinuity of f(x) is

Let f(x)={(tan^(-1)x, , |x|ge1),((x^(2)-1)/4, , |x|lt1):} then domain of f'(x) is

Let f(x)=ax^(2)+bx + c , where a in R^(+) and b^(2)-4ac lt 0 . Area bounded by y = f(x) , x-axis and the lines x = 0, x = 1, is equal to :

Let f(x)= {{:(1+ sin x, x lt 0 ),(x^2-x+1, x ge 0 ):}

Let f(x) = a x^2 + bx + c , where a, b, c in R, a!=0 . Suppose |f(x)| leq1, x in [0,1] , then

Find the intervals in which f(x)=sinx-cosx , where 0 lt x lt 2pi is increasing or decreasing.

Let f(x)=m ax{2 sin x,1-cosx},x epsilon (0,pi) . Then set of points of non differentiability is

ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (More Than One Correct Option Type Questions)
  1. Which of the following is/are true? (you may use f(x)=ln((lnx))/(lnx...

    Text Solution

    |

  2. If underset(xrarra)(lim)f(x)=underset(xrarra)(lim)[f(x)] ([.] denotes ...

    Text Solution

    |

  3. Let S be the set of real values of parameter lamda for which the equat...

    Text Solution

    |

  4. h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4)...

    Text Solution

    |

  5. Let f(x)=log(2x-x^2)+sin(pix)/2dot Then which of the following is/are ...

    Text Solution

    |

  6. Show that f(x) =tan^(-1)(sinx+cosx) is an increasing function in (0,pi...

    Text Solution

    |

  7. If the maximum and minimum values of the determinant |(1 + sin^(2)x...

    Text Solution

    |

  8. Let f(x)={:{(x^(2)+4x",",-3lexle0),(-sinx",",0ltxle(pi)/(2)),(-cosx-1"...

    Text Solution

    |

  9. Let f(x)=ab sin x+bsqrt(1-a^(2))cosx+c, where |a|lt1,bgt0 then

    Text Solution

    |

  10. If f(x)=int(x^(m))^(x^(n))(dt)/(lnt),xgt0andngtm, then

    Text Solution

    |

  11. f(x)=sqrt(x-1)+sqrt(2-x) and g(x)=x^(2)+bx+c are two given functions s...

    Text Solution

    |

  12. Find the intervals in which f(x)=6x^2-24x+1 increases and decreases

    Text Solution

    |

  13. A function f is defined by f(x)=int(0)^(pi)cos t cos (x-t)dt, 0 lexle2...

    Text Solution

    |

  14. Let f(x) be a differentiable function on the interval (-oo,0) such tha...

    Text Solution

    |

  15. If f: R rarr R , f ( x) is differentiable bijective function then whic...

    Text Solution

    |

  16. Let f:(0,oo)rarr(0,oo) be a derivable function and F(x) is the primiti...

    Text Solution

    |