Home
Class 12
MATHS
For what value of a the equation (a^2-a-...

For what value of `a` the equation `(a^2-a-2)x^2+(a^2-4)x+(a^2-3a+2)=0` will have more than two solutions. Does there exist a real value of x for which rthe above equation will be an identitiy in a

Text Solution

Verified by Experts

The correct Answer is:
`a=2`, no real value of x
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (MCQ)|9 Videos

  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

For how many values of a,equation (a^2-3a+2)x^2+(a^2-4)x+a^2-a-2=0 is an identity

For what values of a and b do the equations 2x -y = 4b and (ax)/(3) + by = -4b have more than one solution ?

For what values of a and b do the equations 2x-y=4b and (ax)/(3)+by=-4b have more than one solution?

For what values of a does the equation x^(2)-(2^(a)-1)x-3(4^(a-1)2^(a-2))=0 possess real roots?

For what value of k, -2 is a root of the equation 3x^(2)+4x+2k=0 ?

For what values of k does the quadratic equation 4x^(2) - 12x - k =0 have no real roots ?

For what values of a does the equation x^(2)+2a sqrt(a^(2)-3x)+4=0 possess equal roots?

Find for what value of 'a' equation x^(2)+2x-(a^(3)-3a-3)=0 has real roots.

For what values of x does the equation hold true? 2^(4x^2+5x-2)=16

MOTION-QUADRATIC EQUATION-EXERCISE -3 (SUBJECTIVE)
  1. For what value of a the equation (a^2-a-2)x^2+(a^2-4)x+(a^2-3a+2)=0 wi...

    Text Solution

    |

  2. If alpha and beta are the roots of the quation ax^(2)+bx+c=0, then fin...

    Text Solution

    |

  3. If alpha!= beta but alpha^2 = 5alpha-3, beta^2 = 5beta - 3, then find ...

    Text Solution

    |

  4. If one root of equation (l-m) x^2 + lx + 1 = 0 be double of the other ...

    Text Solution

    |

  5. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

    Text Solution

    |

  6. If one root of the equation ax^2+bx+c=0 is the square of the other, pr...

    Text Solution

    |

  7. Show that the roots of the equation (a^(2)-bc)x^(2)+2(b^(2)-ac)x+c^(2)...

    Text Solution

    |

  8. If a x^2+b x+c=0a n db x^2+c x+a=0 have a common root and a, b, and c ...

    Text Solution

    |

  9. lf the quadratic equations x^2+bx+c=0 and bx^2+cx+1=0 have a common r...

    Text Solution

    |

  10. If the quadratic equations x^2+bx+ca=0 & x^2+cx+ab=0 (where a!= 0) ha...

    Text Solution

    |

  11. Solve the equation x^4 + 4x^3 + 5x^2 + 2x-2=0, one root being -1+sqrt...

    Text Solution

    |

  12. If alpha, beta, gamma are the roots of the equation x^3 + px^2 + qx + ...

    Text Solution

    |

  13. If alpha,betaa n dgamma are roots of 2x 63+x^3-7=0 , then find the val...

    Text Solution

    |

  14. Let alpha+ibeta,alpha, beta epsilon R, be a root of the equation x^(3)...

    Text Solution

    |

  15. Let alpha,beta,gamma are the roots of the cubic x^3-3x^2+1=0 .Find a c...

    Text Solution

    |

  16. Two roots of a biquadratic x^4-18x^3+ kx^2+ 200x-1984=0 have their pro...

    Text Solution

    |

  17. Suppose a cubic polynomial f(x) = x^3 + px^2 + qx + 72 is divisible by...

    Text Solution

    |

  18. If g(x)=x^(3)+px^(2)+qx+r where p,q,r are integers. If g(0) and g(-1)...

    Text Solution

    |

  19. If x be real then find the range of the following rational expressions...

    Text Solution

    |

  20. Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

    Text Solution

    |