Home
Class 12
MATHS
The number of points in (-oo,oo), for wh...

The number of points in `(-oo,oo),` for which `x^2-xsinx-cosx=0,` is

A

6

B

4

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 6|2 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

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

Similar Questions

Explore conceptually related problems

The number of points of intersection of two curves y=2sinxa n dy=5x^2+2x+3i s 0 b. 1 c. 2 d. oo

The number of critical points of f(x)=max{sinx,cosx},AAx in[-2pi,2pi], is

The number of roots of the equation xsinx=1,x in [-2pi,0)uu(0,2pi] is (a) 2 (b) 3 (c) 4 (d) 0

The range of k for which the inequaliity kcos^2x-kcosx+1>=0 AA x in(-oo,oo) is

The least natural number a for which x+a x^(-2)>2AAx in (0,oo) is 1 (b) 2 (c) 5 (d) none of these

The value of the integral int_(0)^(oo) e^(-2x) (sin 2x + cos 2x) dx is

If f:[1,oo)rarrR:f(x) is monotonic and differentiable function and f(1)=1, then number of solutions of the equation f(f(x))=(1)/(x^(2)-2x+2) is/are……

Find the values of x in (-pi, pi) , which satisfy the equation : 8^(1+|cos x|+cos^2 x+..... to oo)=4^3 .

The integer n for which ("lim")_(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is finite nonzero number is ________

Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the set of values of a for which f is onto is (a) (0,oo) (b) [2,1] (c) [1/4] (d) [1/4,oo]

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The least value of alpha in R for which 4ax^2+(1)/(x)ge1, for all xgt ...

    Text Solution

    |

  2. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

    Text Solution

    |

  3. Let f : R ->(0,oo) and g : R -> R be twice differentiable functions...

    Text Solution

    |

  4. Let f:(0,oo) to vec R be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , ...

    Text Solution

    |

  5. The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a loca...

    Text Solution

    |

  6. A rectangular sheet of fixed perimeter with sides having their lengths...

    Text Solution

    |

  7. A vertical line passing through the point (h,0) intersects th ellipse ...

    Text Solution

    |

  8. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  9. The total number of local maxima and local minima of the function f(x)...

    Text Solution

    |

  10. If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...

    Text Solution

    |

  11. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

    Text Solution

    |

  12. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

    Text Solution

    |

  13. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

    Text Solution

    |

  14. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  15. If f(x)=e^(1-x) then f(x) is

    Text Solution

    |

  16. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

    Text Solution

    |

  17. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

    Text Solution

    |

  18. If f(x) is a cubic polynomil which has local maximum at x=-1 . If f(2)...

    Text Solution

    |

  19. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |

  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |