Home
Class 10
MATHS
If sinalpha and cosalpha are the roots...

If `sinalpha` and `cosalpha` are the roots of the equation `a x^2+b x+c=0` , then `b^2=`
(a)`a^2-2a c` (b) `a^2+2a c` (c) `a^2-a c` (d) `a^2+a c`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos
  • REAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

Similar Questions

Explore conceptually related problems

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

If sinthetaand costheta are the roots of the equation ax^2+bx+c=0 , then (A) (a-c)^2=b^2+c^2 (B) (a+c)^2=b^2-c^2 (C) a^2=b^2-2ac (D) a^2+b^2-2ac=0

If a lt c lt b then the roots of the equation (a−b)x^2 +2(a+b−2c)x+1=0 are

If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1 (b) 2 (c) -2 (d) -1

If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are equal, then (a) 2b=a+c (b) b^2=a c (c) b=(2a c)/(a+c) (d) b=a c

In a A B C , if sinAa n dsinB are the roots of the equation c^2x^2-c(a+b)x+a b=0, then find sin c

If alpha,beta are the roots of the equation ax^2 + bx+c=0 then the roots of the equation (a + b + c)x^2-(b + 2c)x+c=0 are (a) c (b) d-c (c) 2c (d) 0

If a,b and c are the roots of the equation x^3+2x^2+1=0 , find |[a,b,c],[b,c,a],[c,a,b]| .

If a,b and c are the roots of the equation x^3+2x^2+1=0 , find |[a,b,c],[b,c,a],[c,a,b]| .

If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+2c=0 where a ,b ,c in Rdot

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0...

    Text Solution

    |

  2. If p and q are the roots of the equation x^2-p x+q=0 , then (a)p=1...

    Text Solution

    |

  3. If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of the ...

    Text Solution

    |

  4. Write the number of quadratic equation with real roots, which do no...

    Text Solution

    |

  5. If the equation (a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0 has equal roots, th...

    Text Solution

    |

  6. If the sum of the roots of the equation x^2-x=lambda(2x-1) is zero, ...

    Text Solution

    |

  7. If x=1 is a common root of a x^2+a x+2=0 and x^2+x+b=0 then, a b= ...

    Text Solution

    |

  8. The value of c for which the equation a x^2+2b x+c=0 has equal r...

    Text Solution

    |

  9. If x^2+k(4x+k-1)+2=0 has equal roots, then k= (a) -2/3,\ 1 (b) 2/...

    Text Solution

    |

  10. If the sum and product of the roots of the equation k x^2+6x+4k=0 ar...

    Text Solution

    |

  11. If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=0...

    Text Solution

    |

  12. If 2 is a root of the equation x^2+a x+12=0 and the quadratic equa...

    Text Solution

    |

  13. If the sum of the roots of the equation x^2-(k+6)x+2(2k-1)=0 is equ...

    Text Solution

    |

  14. If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) ...

    Text Solution

    |

  15. A quadratic equation whose one root is 2 and the sum of whose roots ...

    Text Solution

    |

  16. If one root of the equation a x^2+b x+c=0 is three times the other...

    Text Solution

    |

  17. If one root of the equation 2x^2+k x-6=0 is 2, then the other root...

    Text Solution

    |

  18. If one root of the equation x^2+a x+3=0 is 1, then the other root ...

    Text Solution

    |

  19. If 1 is a common root of the equations ay^2+ay+3=0 and y^2+y+b=0,then ...

    Text Solution

    |

  20. The values of k for which the quadratic equation 16 x^2+4k x+9=0 h...

    Text Solution

    |