Home
Class 12
MATHS
The sum of all integral values of 'a' fo...

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

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 integral values of 'a' for which the quadratic equation x^(2)+(a+19)x+19a+1=0 has integral roots,are

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -

The smallest integral value of a for which the equation x^(3)-x^(2)+ax-a=0 have exactly one real root,is

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots are a.3 b.0 c.1 d.2

The number of integral value of a,a, in [-5, 5] for which the equation: x ^(2) +2 (a-1) x+a+5=0 has one root smalleer than 1 and the other root greater than 3 is :

The least +ve integral value of 'a' for which the equation 3x^4 +4x^3-12x^2 +5a=0 has no real root is

Number of integral values of 'a' for which the equation cos2x+3sin x+4sin^(2)x=a-3 has a real root is/are

Absolute sum of integral values of m for which the equation (m^(2)+2m+1)x^(2)-2(m+1)x+(m+1)^(4)-9=0 has rational roots is

RESONANCE DPP-JEE MAINS-All Questions
  1. The range of the function f(x)=sqrt(1-x^2)/(1+|x|) is

    Text Solution

    |

  2. The number of solutions to the system of equations x1+x2+x3+x4+x5=20 a...

    Text Solution

    |

  3. The sum of all integral values of 'a' for which the equation 2x ^(2) -...

    Text Solution

    |

  4. If f(x) = x^11 + sin^3(35x) + 111x, then the value of f^(-1)(sin (pi/5...

    Text Solution

    |

  5. Consider the function f defined by f(x)=(0,x=0 or x is irrational 1/...

    Text Solution

    |

  6. What is the coefficient of x^(100) in the expansion of (1+x+x^2+x^3+.....

    Text Solution

    |

  7. A circle with centre 'P' is tangent to negative x and y axis and exter...

    Text Solution

    |

  8. If the A.M. of two positive numbers aa n db(a > b) is twice their geom...

    Text Solution

    |

  9. If both A-1/2Ia n dA+1/2 are orthogonal matices, then (a)A is ortho...

    Text Solution

    |

  10. How many times digit 5 appears in writing natural numbers from 1 to 10...

    Text Solution

    |

  11. If the roots x^5-40 x^4+P x^3+Q x^2+R x+S=0 are n G.P. and the sum of ...

    Text Solution

    |

  12. If for the function f(x)=1/4x^2+b x+10 ;f(12-x)=f(x)AAx in R , then t...

    Text Solution

    |

  13. A road network as shown in the figure connect four cites. In how many ...

    Text Solution

    |

  14. "Let "f(x)=((2^(x)+2^(-x))sin xsqrt(tan^(-1)(x^(2)-x+1)))/((7x^(2)+3x+...

    Text Solution

    |

  15. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  16. The area of the region defined by x^2+y^2lt=pi^2 and ygeqsinxdot is ...

    Text Solution

    |

  17. It is given that the Rolles theorem holds for the function f(x)=x^3...

    Text Solution

    |

  18. Let A=int(0)^(1)(e^(x))/(x+1) dx then answer the following questions i...

    Text Solution

    |

  19. if (y^(2)-y+1)[x-2]lty^(2)+y+1,AAyepsilonR then ([.] denotes G.I.F) nu...

    Text Solution

    |

  20. Let L denotes the number of values of alpha in [0,pi] which satisfy th...

    Text Solution

    |