Home
Class 12
MATHS
Find the set of values of 'a', for whic...

Find the set of values of 'a', for which the expression `y=(ax^2+6x-8)/(a+6x-8x^2)` has a common linear factor in numerator and denominator :

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 number of possible value of alpha for which expression y=(alpha x^(2)+7x-2)/(alpha+7x-2x^(2)) has atleast one common linear factor in numerator and denominator,is-

Factorize each of the expressions: x^(2)+6x+8

Find the value of x if |2x+6|=-8

Expression (x+5)/((x-2)^(2)) has repeated (twice) linear factors in denominator, so find partial fractions.

Find the value of x for which (8x+4),(6x-2) and (2x+7) are in A.P.

The set of values of x for which f(x)=3x^(4)-8x^(3)-6x^(2)+24x-12 is an increasing function is

Find the value of lambda for which equation 3x^(4)-8x^(3)-6x^(2)+24x=lambda has

Find the value of ( 8x + 6y ^(2)) div 2y.

RESONANCE DPP-JEE MAINS-All Questions
  1. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  2. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  3. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

    Text Solution

    |

  4. Consider a square matrix A or order 2 which has its elements as 0, 1, ...

    Text Solution

    |

  5. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

    Text Solution

    |

  6. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

    Text Solution

    |

  7. If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...

    Text Solution

    |

  8. (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...

    Text Solution

    |

  9. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  10. If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+b...

    Text Solution

    |

  11. Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...

    Text Solution

    |

  12. A solution of the system of equations x-y=1/3 and cos^2pix-sin^2πy=1/2...

    Text Solution

    |

  13. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  14. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

    Text Solution

    |

  15. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  16. The number of four-digit numbers that can be made with the digits 1...

    Text Solution

    |

  17. The third term of a G.P. is the square of the first term. If the secon...

    Text Solution

    |

  18. Urn A contains 2 white, 1 black and 3 red balls, urn B contains 3 w...

    Text Solution

    |

  19. alpha,beta,gammaa n ddelta are the smallest positive angle in ascendin...

    Text Solution

    |

  20. For the 3 events A, B and C, P (atleast one occurring) = 3/4, P(atleas...

    Text Solution

    |