Home
Class 12
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

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos
  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

number of solution of the equation |x| = cos x

The number of real solution of the equation e^(x)+x=0, is

The number of solutions for the equation sin2x+cos 4x=2 is

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

The number of real solutions of the equation 1-x = [cosx] is

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

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 is:

The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin x + cos x) in the interval [0,2pi] is

The number of real solution of the equation x^(2)=1-|x-5| is:

The number of solutions for the equation x^(2)- 5 x + 6 = 0 is..

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If the roots of the equation bx^(2)+cx+a=0 be imaginary then fro all r...

    Text Solution

    |

  2. If alpha , beta are the roots of the equation : x^(2) + x sqrt(alp...

    Text Solution

    |

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

    Text Solution

    |

  4. If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to th...

    Text Solution

    |

  5. Given that a x^(2)+b x+c has no real roots and a+b+c lt 0 then,

    Text Solution

    |

  6. The roots of the equation |x^(2)-x-6|=x+2 are

    Text Solution

    |

  7. If a, b, c are positive real numbers, then the number of real roots of...

    Text Solution

    |

  8. The value of 'a' for which the equation x^(3) + ax + 1 = 0 and x^(4) +...

    Text Solution

    |

  9. If alpha and beta are the roots of x^(2) + qx + 1 = 0 and gamma, delt...

    Text Solution

    |

  10. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  11. Let x(1), x(2) be the roots of the equation x^(2)-3 x+p=0 and let x(3)...

    Text Solution

    |

  12. Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) +...

    Text Solution

    |

  13. If x^(2)+x+1 is a factor of a x^(3)+b x^(2)+c x+d, then the real root ...

    Text Solution

    |

  14. If a le 0 then the real values of x satisfying x^(2)-2 a|x-a|-3 a^(2)=...

    Text Solution

    |

  15. If x^(2)-3 x+2 is a factor of x^(4)-p x^(2)+q, then the values of p an...

    Text Solution

    |

  16. If the equations x^(2)+b^(2)=1-2b x and x^(2)+a^(2)=1-2 a x have one a...

    Text Solution

    |

  17. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

  18. Let a, b, c be real. If a x^(2)+b x+c=0 has two real roots alpha and...

    Text Solution

    |

  19. Let (sin a) x^(2)+(sin a) x+(1-cos a)=0 . The set of values of a for w...

    Text Solution

    |

  20. If p, q, are real and p ne q then the roots of the equation (p-q) x^(...

    Text Solution

    |