Home
Class 11
MATHS
The number of solutions of the equation ...

The number of solutions of the equation `sin(e^x)=5^x+5^(-x)`is

A

0

B

1

C

2

D

infinitely many

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation sin (e^x)=2^x+2^(-x) is

The number of real solution of the equation e^x=x is

Find the number of solutions of the equation sinx=x^(2)+x+1.

The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3x+4 is

The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxcos^3x+1=0 in the interval [0, 2pi] is

The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxcos^3x=1 in the interval [0,2pi] is/are

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

The number of solution (s) of the equation sin^4 x + cos^4 x = sinx cosx in [0 , 2pi]

The number of real solutions of the equation (sinx-x)(cosx-x^(2))=0 is

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If alphaand beta(alphaltbeta) are the roots of the equation x^2+bx+c=0...

    Text Solution

    |

  2. If tan of angles A,B,C are the solutions of the equations tan^3x+3ktan...

    Text Solution

    |

  3. The number of solutions of the equation sin(e^x)=5^x+5^(-x)is

    Text Solution

    |

  4. If p(x) be a polynomial satisfying the identity p(x^2)+2x^2+10x=2xp(x+...

    Text Solution

    |

  5. Ifbgta, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |

  6. The value of alpha and beta such that equation x^2+2x+2+e^a-sinbeta=0 ...

    Text Solution

    |

  7. The values of 'a' for which x^2+ax+sin^-1(x^2-4x+5)+cos^-1(x^2-4x+5)=...

    Text Solution

    |

  8. The number of real solution to the equation -x^2+x-1=sin^(2)x

    Text Solution

    |

  9. If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0 then...

    Text Solution

    |

  10. The smallest positive x satisfying logsin x cos x+log(cos x) (sin x)=2...

    Text Solution

    |

  11. The set of values of 'a' for which x^2-ax+sin^-1(sin4)gt0 forallx in R...

    Text Solution

    |

  12. If (a^3(x-b)(x-c)(x-d))/((a-b)(a-c)(a-d))+(b^3(x-c)(x-d)(x-a))/((b-c)(...

    Text Solution

    |

  13. Let f(x)=x^3+3x^2+6x+2sinx, then the equation 1/(x-f(1))+2/(x-f(2))+3/...

    Text Solution

    |

  14. Integral value of x for, which (5x-1)lt(x+1)^2lt7x-3

    Text Solution

    |

  15. If exp{(sin^2 x+sin^4 x+sin^6 x+...)In2} satisfies the quadratic equat...

    Text Solution

    |

  16. The number of values of the triple (a,b,c) for which a coss 2x+bsin^2 ...

    Text Solution

    |

  17. The sum of the real roots of the equationabs(x)^2+absx-6=0 is

    Text Solution

    |

  18. If blt0, then the roots x1 and x2 of the equation 2x^2+6x+b=0, satisfy...

    Text Solution

    |

  19. If (2x^2-3x+1)(2x^2+5x+1)=9x^2,then equation has

    Text Solution

    |

  20. Ifalpha,beta are the roots of x^2+px+q=0 and also of x^(2n)+p^n x^n+q^...

    Text Solution

    |