Home
Class 12
MATHS
If the roots of the quadratic equation x...

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

3

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (OBJECTIVE PROBLEMS)|28 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (MCQ)|9 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

If the roots of the quadratic equation x^(2)+px+q=0 are tan30^(@) and tan15^(@) respectively then the value of 2+q-p is

If the roots of the quadratic equation x^(2)+px+q=0 are tan30^(@) and tan 15^(0) respectively,then find the value of 2+q-p

If the roots of the equadratic equation x^(2) + px + q = 0 " are " tan23^(@) "and" tan22^(@), then find the value of q - p .

If the roots of the equation x^2 + px-q = 0 are tan 30^@and tan 15^@ then the value of 2-q-p is

MOTION-QUADRATIC EQUATION-EXERCISE -1 (OBJECTIVE PROBLEMS)
  1. If the roots of the quadratic equation x^2 +px + q = 0 are tan 30^@ an...

    Text Solution

    |

  2. The roots of the equation (b-c) x^2 + (c-a)x+ (a-b) = 0

    Text Solution

    |

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

    Text Solution

    |

  4. The number of roots of the quadratic equation 8 sec^(2) theta-6 sec th...

    Text Solution

    |

  5. Roots of 3^(x)+3^(-x)=10/3 are

    Text Solution

    |

  6. If the roots of the equation x^(2)+2ax+b=0 are real and distinct and t...

    Text Solution

    |

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

    Text Solution

    |

  8. The value of ' a ' for which the sum of the squares of the roots of th...

    Text Solution

    |

  9. Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^...

    Text Solution

    |

  10. If alpha, beta are the roots of quadratic equation x^2 + px + q =0 th...

    Text Solution

    |

  11. If a, b, c are integers and b^2=4(ac + 5d^2), d in N, then roots of th...

    Text Solution

    |

  12. Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. ...

    Text Solution

    |

  13. The expression y = ax^2+ bx + c has always the same sign as of a if

    Text Solution

    |

  14. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

    Text Solution

    |

  15. If both roots of the quadratic equation (2-x) (x + 1) = p are distin...

    Text Solution

    |

  16. If the equations k(6x^2+3)+rx+2x^2-1=0 and 6k(2x^2+1)+px+4x^2-2=0 have...

    Text Solution

    |

  17. If the quadratic equations 3x^2 + ax + 1 = 0 and 2x^2 + bx + 1 = 0 h...

    Text Solution

    |

  18. The equations x^2 +5x^2 +px +q=0 and x^3+ 7xa+ px+ r =0have two roots ...

    Text Solution

    |

  19. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3K x^2...

    Text Solution

    |

  20. If the roots of the equation x^(3)+Px^(2)+Qx-19=0 are each one more th...

    Text Solution

    |