Home
Class 12
MATHS
If the difference of the roots of the qu...

If the difference of the roots of the question `,x^(2)+px+q=0"be unity, then"(p^(2)+4q^(2))` equals to :

A

`(1+2q)^(2)`

B

`(1-2q)^(2)`

C

`(p-q)^(2)`

D

`2(p-q)^(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

if the difference of the roots of the equation x^(2)-px +q=0 is unity.

If the difference of the roots of the equation, x^2+p x+q=0 be unity, then (p^2+4q^2) equal to: (1-2q)^2 (b) (1-2q)^2 4(p-q)^2 (d) 2(p-q)^2

If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!=0) then

If the sum of the roots of the equation x^(2)+px+q=0 is 3 times their difference, then

If the difference of the roots of x^2-p x+q=0 is unity, then a) p^2+4q=1 b) p^2-4q=1 c) p^2+4q^2=(1+2q)^2 d) 4p^2+q^2=(1+2p)^2

If alpha , beta are the roots of the equation x^(2)-px+q=0 , then (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is equal to :

If the sum of the roots of the equation x^(2)-px+q=0 be m times their difference, prove that p^(2)(m^(2)-1)=4m^(2)q .

If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

If secalpha and cosecalpha are the roots of the equation x^2-px+q=0 , then (i) p^2=q(q-2) (ii) p^2=q(q+2) (iii) p^2+q^2=2q (iv) none of these

If the ratio of the roots of the equation x^(2)+px+q=0 is equal to the ratio of the roots of x^(2)+lx+m=0 , prove that mp^(2)=ql^(2) .

RESONANCE ENGLISH-DPP-QUESTION
  1. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

    Text Solution

    |

  2. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

    Text Solution

    |

  3. If the difference of the roots of the question ,x^(2)+px+q=0"be unity,...

    Text Solution

    |

  4. If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, the...

    Text Solution

    |

  5. If alpha is a roots equations 4x^2+2x-1=0andf(x)=4x^3-3x+1,then2(f(alp...

    Text Solution

    |

  6. If alpha, beta, gamma are the roots of the equation x^(2)=px^(2)+qx-r=...

    Text Solution

    |

  7. Find the sum of all integers satisfying the inequalities log(5)(x-3)...

    Text Solution

    |

  8. Let a and b be two integers such that 10 a + b = 20 and g(x) = x^2 + a...

    Text Solution

    |

  9. The value of x satisfying the equation (5050-((1)/(2)+(2)/(3)+(3)/(4)+...

    Text Solution

    |

  10. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |

  11. The multiplication of a rational number 'x' and an irrational numbe...

    Text Solution

    |

  12. Consider a 7-digit number N=ABCDE15. If N is dividible by 11 then the ...

    Text Solution

    |

  13. Let U be set with number of elements in U is 2009. Consider the foll...

    Text Solution

    |

  14. If U be the universal set and AuuBuuC=U,"then "[(A-B)uu(B-C)uu(C-A)'] ...

    Text Solution

    |

  15. Let U={xcN,xle10},A={x inN,1lex^(3)lt150}and B={x inN, x is prime numb...

    Text Solution

    |

  16. 31 candidates appeared for an examination, 15 candidates passed in Eng...

    Text Solution

    |

  17. In a battle, 70% of the combatants lost one eye, 80% an ear, 75% an ar...

    Text Solution

    |

  18. In a city, three daily newspapers A,B,C are published. 42% of the peop...

    Text Solution

    |

  19. A 3-digit number has, from left to right, the digits a, b and c with a...

    Text Solution

    |

  20. (4)/(9^((1)/(3))-3^((1)/(3))+1) is equivalent to :

    Text Solution

    |