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 6 (b) 4 (c) 2 (d) 0

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

The number of points in (-oo,oo), for which x^(2)-x sin x-cos x=0, is 6(b)4(c)2(d)0

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

Number of roots of the equation sinx+cosx=x^2-2x+sqrt(6) is (A) 0 (B) 2 (C) 4 (D) an odd number

The set of all real numbers x for which x^2-|x+2|+x >0 is (a)(-oo,-2)uu(2,oo) (b) (-oo,-sqrt(2))uu(sqrt(2),oo) (c)(-oo,-1)uu(1,oo) (d) (sqrt(2),oo)

The number of points at which the function f(x)=max{a-x,a+x,b},-oo

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

The values of a for which the integral int_(0)^(2)|x-a|dx>=1 is satisfied are (a) (2,oo) (b) (-oo,0)(c)(0,2)(d) none of these

The set of all real numbers x for which x^(2)-|x+2|+x>0 is (-oo,-2) b.(-oo,-sqrt(2))uu(sqrt(2),oo) c.(-oo,-1)uu(1,oo) d.(sqrt(2),oo)

e^(2x)-(a-1)e^x-ageq0AAx in R , then values of a which satisfy are. (a) a in (-oo,0) (b) a in (-oo,0] (c) a in R (d) a in (-oo,2]

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

    Text Solution

    |

  2. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  3. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is 6 (b)...

    Text Solution

    |

  4. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

    Text Solution

    |

  5. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

    Text Solution

    |

  6. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  7. If f(x)={x^2,xlt=0 2sinx ,x >0'in v e s t iga t et h e function at x=...

    Text Solution

    |

  8. The function y=(a x+b)/((x-1)(x-4)) has turning point at P(2,1)dot The...

    Text Solution

    |

  9. Find the points of maxima and minima of the function. f(x)=12 x^5-4...

    Text Solution

    |

  10. Discuss the extremum of f(x)=x^2+1/(x^2)

    Text Solution

    |

  11. The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N, has a local minimum...

    Text Solution

    |

  12. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

    Text Solution

    |

  13. f(x)={cos(pix)/2,x >0x+a ,xlt=0 Find the values of a if x=0 is a poin...

    Text Solution

    |

  14. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |

  15. Leg f(x) be a cubic polynomial which has local maximum at x=-1a n df(x...

    Text Solution

    |

  16. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

    Text Solution

    |

  17. Find the maximum value of f(x)=(1/x)^x

    Text Solution

    |

  18. Let f(x)=2x^3=9x^2+12 x+6. Discuss the global maxima and minima of f(x...

    Text Solution

    |

  19. Find the greatest and least values of function f(x)=3x^4-8x^3-18 x^...

    Text Solution

    |

  20. Find the greatest and least values of function f(x)={-x ,\ \ \ \ -...

    Text Solution

    |