Home
Class 12
MATHS
The equation: (5+2sqrt(6))^x^(2-3)+(5-2s...

The equation: `(5+2sqrt(6))^x^(2-3)+(5-2sqrt(6))^x^(2-3)=10h a s` Four complex roots Four roots whose sum is zero Four roots of which only two are Irrational Four integral roots

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The square root 5+2sqrt6 is :

The number of roots of the equation sqrt(x^(2)-4)-(x-2)=sqrt(x^(2)-5x+6) is

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

The equation whose roots are 02,3+-sqrt(5) is

The equation (x/(x+1))^2+(x/(x-1))^2=a(a-1) has a. Four real roots if a >2 b.Four real roots if a<-1 c Two real roots if 1

sqrt(2)times root(3)(2)times root(6)(2)

The roots of the equation x^(2)+2sqrt(3)x+3=0 are

(x^(2)+1)^(2)-x^(2)=0 has (i) four real roots (ii) two real roots (iii) no real roots (iv) one real root

The equation whose roots are 1+-sqrt(3),2,5 is

RESONANCE DPP-JEE MAINS-All Questions
  1. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and B=[(4,2,2),(-5,0,alpha),(1,-2,3)...

    Text Solution

    |

  2. Equation of line B C is 14 x+23 y-40=0 (b) 4x-2y+1=0 4x+2y-1=0 (d) ...

    Text Solution

    |

  3. The equation: (5+2sqrt(6))^x^(2-3)+(5-2sqrt(6))^x^(2-3)=10h a s Four ...

    Text Solution

    |

  4. In a parallelogram as shown in the figure (a != b) : equation of the ...

    Text Solution

    |

  5. The two adjacent one of the diagonals of the parallelogram is along th...

    Text Solution

    |

  6. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  7. If g(x) =2f(2x^3-3x^2)+f(6x^2-4x^3-3) AA x in R and f''(x) gt 0 AA x ...

    Text Solution

    |

  8. Sum of roots of equations f(x)=0a n dg(x)=0i s 0 (b) 2(a+d) (c) 1...

    Text Solution

    |

  9. The function f(x)=(4-x^2)/(4x-x^3) discontinuous at only one point di...

    Text Solution

    |

  10. If |O A^(prime)|=|AAprime|=1, then the values of ' m ' for which (g(...

    Text Solution

    |

  11. Comprehension (For Q.No.1 to 3) Let f(x)=x^2+2a x+b ,g(x)=c x^2+2dx+1...

    Text Solution

    |

  12. If 2^x+2^y=2^(x+y), then (dy)/(dx) is equal to -(2^y)/(2^x) (b) 1/(1-...

    Text Solution

    |

  13. All the values of ' a ' for which the quadratic expression a x^2+(a-2...

    Text Solution

    |

  14. If y=x/(a+x/(b+x/(a+oo))),t h e nfin d(dy)/(dx)

    Text Solution

    |

  15. If A=[1-1 2 1],B=[a1b-1]a n d(A+B)^2=A^2+B^2+2A B , then a=-1 (b) a=...

    Text Solution

    |

  16. int(1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dx is equal to

    Text Solution

    |

  17. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then the va...

    Text Solution

    |

  18. If xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx) is equal to 1/((1+x)^2) (b...

    Text Solution

    |

  19. Harmonic conjugate of the point (5, 13) with respect to (2,-5) and (3,...

    Text Solution

    |

  20. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

    Text Solution

    |