Home
Class 11
MATHS
Let sinalpha,cosalpha, be the roots of t...

Let `sinalpha,cosalpha`, be the roots of the equation `x^2-bx+c=0`. Then which of the following statements is/are correct ?

A

`A_1gtA_2.....`

B

`A_1gtA_2gtA_3gt....`

C

`A_1gtA_3gtA_5gt....`and` A_2ltA_4ltA_6lt.....`

D

`A_1ltA_3ltA_5lt....`and `A_2gtA_4gtA_6gt.....`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

The roots of the equation ax^2+bx+c=0 are equal when-

If the roots of the equation ax^2+bx+c=0(a!=0) be equal then

One root of the equation ax^2+bx+c=0(ane0) is zero when-

If the roots of the equation ax^(2)+bx+c=0(ane0) be equal, then

IF a=0 and b=0 then both roots of the equation ax^2+bx+c=0 are-

If sintheta and costheta are the roots of the equation ax^2-bx+c=0 , then a, b and c satisfy the relation

If the two roots of the equation ax^2 + bx + c = 0 are distinct and real then

IF b=c=0 then both roots of the equation ax^2+bx+c=0(ane0) are-

If a ,b ,c , are in A.P then the roots of the equation ax^(2)-2bx+c=0

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2

    Text Solution

    |

  2. Which one of the following statements is correct ?

    Text Solution

    |

  3. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

    Text Solution

    |

  4. Which one of the following statements is correct ?

    Text Solution

    |

  5. The sum V1+V2+.....Vn is

    Text Solution

    |

  6. Tr is always

    Text Solution

    |

  7. Which one of the following statements is correct ?

    Text Solution

    |

  8. Match List-I with List-II

    Text Solution

    |

  9. The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2 , h1,...

    Text Solution

    |

  10. If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...

    Text Solution

    |

  11. If log2(a+b)+log2(c+d)ge4 . Then the minimum value of the expression a...

    Text Solution

    |

  12. Let a1,a2,a3,.......a11 be real number satisfying a1=15,27-2a2gt0 anda...

    Text Solution

    |

  13. The interior angles of a polygon are in arithmetic progression. The sm...

    Text Solution

    |

  14. Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^...

    Text Solution

    |

  15. Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^...

    Text Solution

    |

  16. Does there exist a GP containing 27,8 and 12 as three of its terms ? I...

    Text Solution

    |

  17. The sum of the squares of three distinct real numbers, which are in GP...

    Text Solution

    |

  18. Prove that the three successive terms of a GP will form the sides of ...

    Text Solution

    |

  19. If (m+1)^th ,(n+1)^th and (r+1)^th terms in AP are in GP m,n,r are in ...

    Text Solution

    |

  20. If p be the first of n arithmetic means between two numbers and q be t...

    Text Solution

    |