Home
Class 12
MATHS
If the tan theta and sec theta are rots ...

If the `tan theta and sec theta` are rots of the equation `ax^(2)+bx+cx=0,` then

A

`|sectheta-tan theta|=(sqrt(b^(2)-4ac))/(|a|)`

B

`|sectheta-tan theta|=(sqrt(b^(2)+4ac))/(|a|)`

C

`a^(4)=b^(2)(-4ac+b^(2))`

D

`b^(4)=a^(2)(4ac+a^(2))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

if sin theta and cos theta are roots of the equation ax^(2)-bx+c=0 then

If sin theta and cos theta are the roots of the equation ax^(2)-bx+c=0, then a,b and c satisfy the relation

If sin theta,cos theta are the roots of the equation ax^(2)+bx+c=0 then

If (sin theta) and (cos theta) are the roots of the equation ax^(2)+bx+c=0 , where a,b,c are the sides of triangleABC , then:=

If sectheta and tantheta are roots of equation ax^(2) + bx + c=0 (a,b ne 0) then the value of sectheta - tan theta is:

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, then what are the roots of the equation cx^(2) + bx + a = 0 ?

If tan theta and sec theta are the roots of ax^(2)+bx+c=0, then prove that a^(4)=b^(2)(b^(2)-4ac)

If sec theta+tan theta=x then sec theta=

RESONANCE-DPP-QUESTION
  1. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

    Text Solution

    |

  2. If b^(2)gt4ac then roots of equation ax^(4)+bx^(2)+c=0 are all real & ...

    Text Solution

    |

  3. If the tan theta and sec theta are rots of the equation ax^(2)+bx+cx=0...

    Text Solution

    |

  4. Consider a quadratic equation ax^(2)+bx+c=0"where"a,b,c inR and a ne 0...

    Text Solution

    |

  5. All the roots of x^(3)+ax^(2)+bx+c are positive integers greater than ...

    Text Solution

    |

  6. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |

  7. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  8. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

    Text Solution

    |

  9. If x1, x2& x3 are three distinct numbers which satisfy the relation (a...

    Text Solution

    |

  10. When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are...

    Text Solution

    |

  11. Number of zeros after decimal before first significant dign in the num...

    Text Solution

    |

  12. The expressin (1)/(1+(x)/(1-(x)/(x+2)))div ((1)/(1-x)+(1)/(1+x))/((...

    Text Solution

    |

  13. For any two non-empty sets A and B which of the following is pair wise...

    Text Solution

    |

  14. In a survey, 50 people like product A, 30 people like product B and 20...

    Text Solution

    |

  15. If A {phi,{phi},{{phi}}, then the number of proper subsets of the powe...

    Text Solution

    |

  16. In an examination of a certain class, at least 70% of the students fai...

    Text Solution

    |

  17. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3)dot Then N is ...

    Text Solution

    |

  18. The expression (n^3 - n), where 'n' is any odd natural number is divis...

    Text Solution

    |

  19. Let a ,b be two single digit natural numbers and 'aa bb' is a four di...

    Text Solution

    |

  20. If sintheta=5sin(theta+phi) then tan(theta+phi)=

    Text Solution

    |