Home
Class 12
MATHS
IF the roots of the quadratic equat...

IF the roots of the quadratic equation ` x^2 +px+q=0` are `tan 30 ^@` and `tan 15^@` , respectively then the value of ` 2 + q-p` is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos
  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If the roots of a quadratic equation px^(2) + qx + r = 0 are imaginary then……

IF 2 + sqrt(3) is a root of the equation x^(2) +px +q =0 then

IF 3+ 4i is a root of the equation x^2 +px +q=0 then

IF (1-p) is a root of quadratic equation X^2 +px +(1-p)=0 then its roots are

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in G.P p^3 r= q^3

If both roots are common to the Quadratic equations x^2-4 = 0 and x^2 + px-4 = 0 , then p =

IF tan A and tan B are the roots of the quadratic x^2 -px+q=0 then sin ^2 (A+B)=

If - 4 is common root for the quadratic equations 2x^(2) + px + 8 = 0 and p(x^(2) + x) + k = 0 then find the value of 'k'.

A quadratic equation whose roots are tan15^(@) and cot15^(@) is

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. Let alpha and beta be the roots of equation x^2-6x -2=0. If a...

    Text Solution

    |

  2. IF alpha , beta are the roots of the equation ax ^2 + bx +c=0 , ...

    Text Solution

    |

  3. IF the roots of the quadratic equation x^2 +px+q=0 are tan 30...

    Text Solution

    |

  4. IF tan A , tan B are the roots of x ^2 -px+q=0 , the value of ...

    Text Solution

    |

  5. If alpha , beta are the roots of x^2+ax -b=0 and gamma , sig...

    Text Solution

    |

  6. If alpha , beta are the roots of x^2 +px -q=0 and gamma , de...

    Text Solution

    |

  7. If alpha , beta are the roots of x^2 + px +1=0 and gamma , d...

    Text Solution

    |

  8. If alpha , beta are the roots of ax ^2+2bx +c=0 and alpha + si...

    Text Solution

    |

  9. alpha , beta are the roots of ax ^2+bx +c=0 and gamma , sigma...

    Text Solution

    |

  10. The ratio of the roots of the equation ax ^2 + bx +c=0 is same ...

    Text Solution

    |

  11. alpha , beta are the roots of ax ^2+bx +c=0 and gamma , sigma...

    Text Solution

    |

  12. Let p and q be the roots of x^2 - 2x + A =0 and let r and s b...

    Text Solution

    |

  13. Let x1 , x2 , be the roots of the equation x^2 - 3x +p=0 an...

    Text Solution

    |

  14. Let alpha , beta be the roots of x^2 - x +p=0 and gamma , ...

    Text Solution

    |

  15. x1 and x3 are the roots of the equation Ax ^2 - 4x +1=0 and x2...

    Text Solution

    |

  16. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

    Text Solution

    |

  17. The students while solving a quadratic equation in x, one copi...

    Text Solution

    |

  18. If 8 and 2 are the roots of x^2 + ax + beta = 0 and 3,3 are...

    Text Solution

    |

  19. IF x1 and x2 are the real roots of the equation x^2 - kx +c=...

    Text Solution

    |

  20. If one root of the equation I x ^2 - 2(1+i) x+ (2-i) =0 is 2- I ...

    Text Solution

    |