Home
Class 11
MATHS
If the roots of the quadratic equation (...

If the roots of the quadratic equation `(4p-p^2-5)x^2-(2p-1)x+3p=0` lie on either side of unit, then the number of integer values of `p` is a.`1` b. `2` c. `3` d. 4

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

if the roots of the quadratic equation (4p - p^(2) - 5)x^(2) - 2mx + m^(2) - 1 = 0 are greater then - 2 less then 4 lie in the interval

If alpha , beta are the roots of the quadratic equation (p^2 + p + 1) x^2 + (p - 1) x + p^2 = 0 such that unity lies between the roots then the set of values of p is (i) O/ (ii) p in (-infty,-1) cup (0,infty) (iii) p in (-1,infty) (iv) (-1,1)

If (1-p) is a root of quadratic equation x^2+p x+(1-p)=0, then find its roots.

If (1-p) is a root of quadratic equation x^2+p x+(1-p)=0, then find its roots.

The roots of the quadratic equation 4x^(2)-(5a+1)x+5a=0 , are p and q. if q=1+p, calculate the possible values of a,p and q.

If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots, find the value of kdot

If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots, find the value of kdot

If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots, find the value of kdot

If 2 is a root of the quadratic equation 3x^2+p x-8=0 and the quadratic equation 4x^2-2p x+k=0 has equal roots, find the value of kdot

If-4 is a root of the quadratic equation x^2+p x-4=0 and the quadratic equation x^2+p x+k=0 has equal roots, find the value of kdot

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  2. If p=a+bomega+comega^2, q=b+comega+aomega^2, and r=c+aomega+bomega^2,...

    Text Solution

    |

  3. If the roots of the quadratic equation (4p-p^2-5)x^2-(2p-1)x+3p=0 lie ...

    Text Solution

    |

  4. If z1=5+12 i and |z2|=4,t h e n

    Text Solution

    |

  5. If roots of x^2-(a-3)x+a=0 are such that at least one of them is great...

    Text Solution

    |

  6. If |z-1|-1,t h e n a r g((z-1-i)//z) can be equal to pi//4 (z-2)//z ...

    Text Solution

    |

  7. Let f(x)=a x^2+bx +c a ,b ,c in R. If f(x) takes real values for re...

    Text Solution

    |

  8. Write a linear equation representing a line which is parallel to y-axi...

    Text Solution

    |

  9. If both roots of the equation a x^2+x+c-a=0 are imaginary and c > -1, ...

    Text Solution

    |

  10. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

    Text Solution

    |

  11. The set of all possible real values of a such that the inequality (x-(...

    Text Solution

    |

  12. Column I, Column II (Locus) parallelogram, p. z1-z4=z2-z3 rectang...

    Text Solution

    |

  13. The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...

    Text Solution

    |

  14. The range of a for which the equation x^2+ax-4=0 has its smaller root ...

    Text Solution

    |

  15. Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 ...

    Text Solution

    |

  16. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

    Text Solution

    |

  17. If n1, n2 are positive integers, then (1 + i)^(n1) + ( 1 + i^3)^(n1) +...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |