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

1

B

2

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-I|56 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos
  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 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

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. IF alpha , beta are real and alpha ^2 , - beta ^2 are the ro...

    Text Solution

    |

  2. If alpha, beta are the roots of x^(2) + bx + c = 0 and, alpha +h, beta...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If alpha, beta are the roots of x^(2) + 7x + 3 = 0 then (alpha – 1)^(2...

    Text Solution

    |

  6. If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha +...

    Text Solution

    |

  7. IF alpha ,, beta are the roots of the equation 8x^2-3x+27=0 then...

    Text Solution

    |

  8. Assertion (A): If n is a multiple of 6 and alpha, beta are the roots ...

    Text Solution

    |

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

    Text Solution

    |

  10. If alpha, beta are the roots of 3x^(2) + 5x - 7 = 0 then (1)/(3alpha+5...

    Text Solution

    |

  11. Assertion (A) : If alpha, beta are the roots of ax^(2)+bx+c=0 then (...

    Text Solution

    |

  12. If the difference between the roots of x^(2) + ax + 1 = 0 is Jess than...

    Text Solution

    |

  13. The value of c for which |alpha^(2) -beta^(2)| = (7)/(4) where a and B...

    Text Solution

    |

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

    Text Solution

    |

  15. If the difference between the roots of x^(2) + ax + b = 0 is equal to ...

    Text Solution

    |

  16. In a triangle PQR, /R= (pi)/(2) If tan(P/(2)) and tan(Q/(2))are the ro...

    Text Solution

    |

  17. If tan^(2)theta, sin^(2)theta are the roots of ax^(2)+bx+c=0 then b^(2...

    Text Solution

    |

  18. If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)

    Text Solution

    |

  19. If alpha, beta are the roots of x^(2) + x + 3=0 then 5alpha+alpha^(4...

    Text Solution

    |

  20. IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)=0

    Text Solution

    |