Home
Class 12
MATHS
If x and a are real, then the value of a...

If x and a are real, then the value of a for which the expression `x^(2)-(3a)/(2)x+1-a^(2)` is positive, is

A

`a gt - (4)/(25)`

B

`a lt (4)/(25)`

C

`|a|gt (4)/(5)`

D

`|a|lt(4)/(5)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS (2011)

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QUESTIONS|10 Videos

  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If x is real, then the value of the expression (x^2+14 x+9)/(x^2+2x+3) lies between

If x=2+5i then the value of the expression x^3-5x^2+33x-49 is

IF x is real, find the real values of m which make the expressions mx-x^2-1 always negative.

Find the value of x for which the following expression are defined sin^(-1) (3x -2)

Find the limits of real value of x so that the expressions 5x^2+6x-8 is non-negative.

IF x is real , find the real values of a which make x^2-ax+1-2a^2 always positive.

For what real values of x the expressions x^2-2x+3 is negative?

If x is real, find the values of k for which abs(x^2+kx+1)/abs(x^2+x+1)lt3

IF x is real, find the least value of 2x^2-3x+5 and the value of x for which the expression is minimum.

IF x is real , find the signs of the each of the following expressions: 3x^2-2x+1

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. If f(x)=mu x-sin x is strictly increasing then

    Text Solution

    |

  2. If A and B are two square matrices of the same order such that AB = A,...

    Text Solution

    |

  3. If x and a are real, then the value of a for which the expression x^(2...

    Text Solution

    |

  4. The differential equation of the family of parabolas whose vertex is a...

    Text Solution

    |

  5. The solution of (dy)/(dx)=xy+2y subject to the condition y = 1 at x = ...

    Text Solution

    |

  6. The sum of the first 26 odd positive integers is

    Text Solution

    |

  7. If Z(1) and Z(2) are two non-zero complex numbers such that |Z(1)+Z(2)...

    Text Solution

    |

  8. The solution of (d^(2)y)/(dx^(2))-4(dy)/(dx)=0 is

    Text Solution

    |

  9. If the coefficients of 2nd, 3rd and 4th terms of (1+x)^(2n) are in A.P...

    Text Solution

    |

  10. A particle is projected vertically upwards with a velocity of 4900 cm/...

    Text Solution

    |

  11. The value of sin (-300^(@)) is

    Text Solution

    |

  12. The solution of the differential equation (dy)/(dx)=e^(x-y)+1 is

    Text Solution

    |

  13. The area of the region bounded by the curves y=x^(2) and x=y^(2) is

    Text Solution

    |

  14. If f(x)=|x|+|1-x|, -2le x le 3, then the set of points of discontinuit...

    Text Solution

    |

  15. Two cars start moving from the junction point of two perpendicular roa...

    Text Solution

    |

  16. The value of lim(x to 0)(1-cos x)/(x^(2))

    Text Solution

    |

  17. If A=[(2,3),(5,-2)] then A^(-1) is

    Text Solution

    |

  18. The value of x, for which log(3)(5.3^(x-1)+1), log(9)(3^(1-x)+1) and 1...

    Text Solution

    |

  19. A point moves in such a manner that the sum of the squares of the dist...

    Text Solution

    |

  20. If the roots of the equation x^(2)+alpha^(2)=8x+6alpha are real, then ...

    Text Solution

    |