Home
Class 12
MATHS
All the values of ' a ' for which the qu...

All the values of `' a '` for which the quadratic expression `a x^2+(a-2)x-2` is negative for exactly two integral values of `x` may lie in (a) `[1,3/2]` (b) `[3/2,2)` (c) `[1,2)` (d) `[-1,2)`

A

`[1,3//2)`

B

`[3//2,2)`

C

`[1,2)`

D

`[2,4)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

Find the values of a, for which the quadratic expression ax^2 + (a - 2) x - 2 is negative for exactly two integral values of x .

The values of 'a' for which the quadraic expression ax^(2)+(a-2)x-2 is negative for exactly two integral values of x , belongs to

The value of 'a' for which the quadratic expression ax^(2)+|2a-3|x-6 is positive for exactly two integral values of x is

For all real values of x, the minimum value of the quadratic expression x^(2)-3x+3 is

The least integral value of ' m ' for which the expression m x^2-4x+3m+1 is positive for every x in R is: 1 b. -2 c. -1 d. 2

Find the number of integral values of 'a' for which ax^2 - (3a + 2)x + 2(a + 1) < 0, a != 0 holds exactly four integral value of x.

Find all possible values ( range) of the quadratic expression: 1+6x -x^2 , when x in [-3,2] .

The number of integral values of m for which the quadratic expression (1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R , is always positive is

The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8a -1) + a^(2) - 4a = 0 has roots with opposite signs, lie in the interval

The sum of all integral values of 'a' for which the equation 2x ^(2) -(1+2a) x+1 +a=0 has a integral root.

RESONANCE ENGLISH-DPP-QUESTION
  1. If ""(alpha)and (beta) are the roots of equation x^(2)-3x+1=0and a(n)=...

    Text Solution

    |

  2. A quadratic equation f(x)=a x^2+b x+c=0 has positive distinct roots re...

    Text Solution

    |

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

    Text Solution

    |

  4. If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) i...

    Text Solution

    |

  5. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  6. If the quadratic equation alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0 has...

    Text Solution

    |

  7. Let x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5) If the value of the expression...

    Text Solution

    |

  8. If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(...

    Text Solution

    |

  9. Consider the equation log(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log(1//5...

    Text Solution

    |

  10. lf sum of maximum and minimum value of y = log2(x^4+x^2+1) - log2 (x^4...

    Text Solution

    |

  11. Find the sum of all the real solution (s) to the equation (x+y)^(2)=(x...

    Text Solution

    |

  12. If x^2 + 2(a-1)x + a + 5 = 0 has real roots belonging to the interval ...

    Text Solution

    |

  13. lf alpha and beta are the roots of the equation x^2-ax + b = 0 and ...

    Text Solution

    |

  14. Let r ,s ,a n dt be the roots of equation 8x^2+1001 x+2008=0. Then fin...

    Text Solution

    |

  15. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

    Text Solution

    |

  16. If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of...

    Text Solution

    |

  17. If the tan theta and sec theta are roots of the equation ax^(2)+bx+c=0...

    Text Solution

    |

  18. Consider a quadratic equation ax^(2)+bx+c=0"where"a,b,c inR and a ne 0...

    Text Solution

    |

  19. All the roots of x^(3)+ax^(2)+bx+c are positive integers greater than ...

    Text Solution

    |

  20. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |