Home
Class 12
MATHS
The number of real roots of sin (2^x) ...

The number of real roots of ` sin (2^x) cos (2^x) =1/4 (2^x+2^-x) ` is

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

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

The number of real roots of equation 16^(x)+8^(x)+ 4(4^(x))+ 2^(x)+ 1=0 is :

The number of real roots of the equation (x - 1)^(2) + (x -2)^(2) + (x - 3)^(2) = 0 is

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

The number of real roots of the equation 1+3^(x//2)=2^(x) , is

The number of real roots of (x^(2)+2x)^(2)-(x+1)^(2)-55=0

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

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. If ax^(2)+bx+6=0 does not have two distinct real roots, a in R and b i...

    Text Solution

    |

  2. The solution set of ((3)/(5))^(x)=x-x^(2)-9 is

    Text Solution

    |

  3. The number of real roots of sin (2^x) cos (2^x) =1/4 (2^x+2^-x) is

    Text Solution

    |

  4. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

    Text Solution

    |

  5. If alpha,beta are the roots of x^2+p x+q=0a d nx^(2n)+p^n x^n+q^n=0a n...

    Text Solution

    |

  6. If x^2+9y^2+25 z^2=x y z((15)/2+5/y+3/z),t h e n x ,y ,a n dz are in ...

    Text Solution

    |

  7. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

    Text Solution

    |

  8. If the quadratic equations 3x^2 + ax + 1 = 0 and 2x^2 + bx + 1 = 0 h...

    Text Solution

    |

  9. If the equation ax^2 + bx + c = 0, 0 < a < b < c, has non real comple...

    Text Solution

    |

  10. If A(z(1)),B(z(2)), C(z(3)) are the vertices of an equilateral triangl...

    Text Solution

    |

  11. In triangle ABC, if cosA+2cosB+cosC=2,t h e na ,b ,c are in (A) A.P. (...

    Text Solution

    |

  12. If a(a), a (2), a (3),…., a(n) are in H.P. and f (k)=sum (r =1) ^(n) a...

    Text Solution

    |

  13. If |z(1)-1|lt 1,|z(2)-2|lt 2,|z(3)-3|lt 3, then |z(1)+z(2)+z(3)|

    Text Solution

    |

  14. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

    Text Solution

    |

  15. Let z and omega be two non zero complex numbers such that |z|=|omega|...

    Text Solution

    |

  16. If zr=cos(pialpha)/(n^2)+isin(ralpha)/(n^2), where r=1,2,3....,n, then...

    Text Solution

    |

  17. The roots of the cubic equation (z + alpha beta)^3 = alpha^3 , alpha ...

    Text Solution

    |

  18. If z(0) is one of the roots of the equation z^(n)cos theta(0)+z^(n-1)c...

    Text Solution

    |

  19. A(z1),B(z2) and C(z3) are the vertices of triangle ABC inscribed in th...

    Text Solution

    |

  20. If z1, z2 are the non zero complex root of z^2 -ax + b=0 such that |...

    Text Solution

    |