Home
Class 12
MATHS
The number of real solutions of ((9)/(10...

The number of real solutions of `((9)/(10))^(x)` = - 3 + x - `x^(2)` is :

A

none

B

one

C

two

D

more than two

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation (9/10)^x=-3+x-x^2 is

The number of real solutions of : + l e^(x) - 11 = e^(x) (e^(x) - 2) is :

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

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

The number of solutions of 3^(|x|)=| 2-|x|| , is

The number of real roots of |x|^(2)-7|x|+12=0 is :

The number of real solutions of the equation : | x^(2) + 4x + 3 | + 2x + 5 = 0 is :

The number of real solutions of the equation log_(0.5)x=|x| is

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

The number of solutions of : log_(4) (x - 1)= log_(2) (x - 3) is :

MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. The product of the roots of the equation x^(2) - 4 mx + 3e^(2 " log m...

    Text Solution

    |

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

    Text Solution

    |

  3. The number of real solutions of ((9)/(10))^(x) = - 3 + x - x^(2) is :

    Text Solution

    |

  4. If a + b + c = 0 , then the equation equation : 3ax^(2) + 2bx + c = ...

    Text Solution

    |

  5. If alpha, beta are the roots of ax^(2) - 26x + c = 0, then alpha^(3...

    Text Solution

    |

  6. If alpha , beta are roots of 375x^(2) - 25x - 2 = 0 and s(n) = alpha^...

    Text Solution

    |

  7. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

    Text Solution

    |

  8. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambda(1), l...

    Text Solution

    |

  9. The least integer satisfying : 49.4 - ((27 - x)/(10)) lt 47.4 - ((2...

    Text Solution

    |

  10. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  11. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  12. If f (x) = x - [x], x (ne 0 ) in R, where [x] is the greatest integer ...

    Text Solution

    |

  13. The real values of x for which 3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x)...

    Text Solution

    |

  14. If the ratio of the roots of a(1)x^(2) + b(1) x + c(1) = 0 be equal ...

    Text Solution

    |

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

    Text Solution

    |

  16. If a + b + c = 0, then x^((a^(2))/(bc)), x^((b^(2))/(ca)) , x((c^(2))/...

    Text Solution

    |

  17. The equation ax^(2) + bx + c = 0 , where a, b,c are real number conne...

    Text Solution

    |

  18. If 3p^(2) = 5p + 2 and 3q^(2) = 5q + 2, where p ne q , then the equati...

    Text Solution

    |

  19. If P(x) = ax^(2) + bx + c and Q(x) = -ax^(2) + dx + c, where ac ne 0 ...

    Text Solution

    |

  20. If one root of the ax^(2) + bx + c = 0 is equal to nth power of the o...

    Text Solution

    |