Home
Class 11
MATHS
The total number of values a so that x^2...

The total number of values a so that `x^2-x-a=0` has integral roots, where `a in Na n d6lt=alt=100` , is equal to a.`2` b. `4` c. `6` d. `8`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

The total number of integral values of a so that x^2 +ax+a+1=0 has integral roots is equal to a. 1 b. 2 c. 4 d. none of these

If x^2+p x-444p=0 has integral roots where p is prime number, then find the value of p .

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

Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The total number of different values of n so that the given equation has integral roots is a. 8 b. 3 c. 6 d. 4

The total number of terms which are dependent on the value of x in the expansion of (x^2-2+1/(x^2))^n is equal to 2n+1 b. 2n c. n d. n+1

The total number of positive integral solution of 15 < x_1+x_2+x_3 lt= 20 is equal to a. 685 b. 785 c. 1125 d. none of these

The total number of solution of sin{x}=cos{x} (where {} denotes the fractional part) in [0,2pi] is equal to 5 (b) 6 (c) 8 (d) none of these

The number of solutions of the equation cos6x+tan^2x+cos(6x)tan^2x=1 in the interval [0,2pi] is (a) 4 (b) 5 (c) 6 (d) 7

The number of positive integral solutions of x^4-y^4=3789108 is a. 0 b. 1 c. 2 d. 4

If one root of the equation x^2+bx+8=0 be 4 and the roots of the equation x^2+bx+c=0 are equal , find the value of c.

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

    Text Solution

    |

  2. (1+i)^(n1)+(1+i^3)^(n1)+(1+i^5)^(n2)+(1+i^7)^(n2) is a real number if

    Text Solution

    |

  3. The total number of values a so that x^2-x-a=0 has integral roots, wh...

    Text Solution

    |

  4. If i=sqrt(-1) then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is ...

    Text Solution

    |

  5. Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...

    Text Solution

    |

  6. If a r g(z)<0, then a r g(-z)-"arg"(z) equals pi (b) -pi (d) -pi/2 ...

    Text Solution

    |

  7. Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists uniq...

    Text Solution

    |

  8. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

    Text Solution

    |

  9. if a lt c lt b, then check the nature of roots of the equation (a ...

    Text Solution

    |

  10. Let z1 and z2 be the nth roots of unity which subtend a right angle at...

    Text Solution

    |

  11. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

    Text Solution

    |

  12. The complex numbers z1,z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-isqrt3)...

    Text Solution

    |

  13. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  14. For all complex niumbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5...

    Text Solution

    |

  15. If x1, a n dx2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, ...

    Text Solution

    |

  16. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cos(pi/4) (b) s...

    Text Solution

    |

  17. If p ,q in {1,2,3,4,} , then find the number of equations of form px^2...

    Text Solution

    |

  18. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

    Text Solution

    |

  19. Find the domain and the range of f(x)=sqrt(x^2-3x.)

    Text Solution

    |

  20. Show that the equation Z^4+2Z^3+3Z^2+4Z+5=0 has no root which is eithe...

    Text Solution

    |