Home
Class 12
MATHS
If sin thetaand cos theta are the roots ...

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

A

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

B

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

C

`a^(2)+b^(2)+2ac=0`

D

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If sin theta and -cos theta are the roots of the equation ax^(2) - bx - c = 0 , where a, b, and c are the sides of a triangle ABC, then cos B is equal to

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

If sin theta and - cos theta are the roots of the equation ax^2-bx-c=0 where a, b and c the side of a triangle ABC , then cos B is equal to :-

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

If sin theta and cos theta are the roots of the quadratic equation ax ^(2) +bx + c=0(a ne 0). Then find the value of (b ^(2) -a^(2))/(ac ).

Which of the following statements are correct E_(1) ) If a + b + c = 0 then 1 is a root of ax^(2) + bx + c = 0 . E_(2) ) If sin alpha, cos alpha are the roots of the equation ax^(2) + bx + c = 0 then b^(2)-a^(2) =2ac

If 1,2,3 are the roots of the equation x^(3) + ax^(2) + bx + c=0 , then

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If both the roots of the equation ax^(2) + bx + c = 0 are zero, then

RESONANCE ENGLISH-DPP-QUESTION
  1. If the difference between the corresponding roots of x^(2)+ax+b=0and x...

    Text Solution

    |

  2. The number of roots of the equation, x-(2)/(x-1) is

    Text Solution

    |

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

    Text Solution

    |

  4. Number of integral value (s) of 'x' satisfying the equation log(1/5)(s...

    Text Solution

    |

  5. The set (A uu B')' uu(B nn C) is equal to

    Text Solution

    |

  6. The set (AnnB')'uu(BnnC) is equal to

    Text Solution

    |

  7. If n(AuuBuuC)+n(AuuBuuC)'=50,n(A)=10,n(B)=15,n(C)=20,n(AnnB)=5,n(BnnC)...

    Text Solution

    |

  8. If A={2,3,4,8,10}.B={3,4,5,10,12},C={4,56,12,14}then(AnnB)uu(AnnC) is ...

    Text Solution

    |

  9. If A={1,3,5,7,9,11,13,15,17}, B={2,4,.......,18} and N the set of natu...

    Text Solution

    |

  10. Of the members of three athletic teams in a certain school, 21 are in ...

    Text Solution

    |

  11. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  12. The graph of the quadratic trinomial u=a x^2+b x+c has its vertex at (...

    Text Solution

    |

  13. If a, b, c are real numbers satisfying the condition a+b+c=0 then the ...

    Text Solution

    |

  14. The quadratic equation whose roots are sec^(2)alphaand "cosec"^(2)alph...

    Text Solution

    |

  15. If h(x)=log(10)x, then the value of sum(n=1)^(89) h"("tan^(Omega)")"=

    Text Solution

    |

  16. Let f(n)=prod(r=1)^(n) sin(r), where r is in radians, then

    Text Solution

    |

  17. If a,b epsilon R and ax^(2)+bx+6=0 does not have two distinct real roo...

    Text Solution

    |

  18. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

    Text Solution

    |

  19. If every pair from among the equations x^2+px+qr=0,x^2+qx+rp=0 and x...

    Text Solution

    |

  20. Find a and b so that x^3+ax^2+11x+6 and x^3+bx^2+14x+8 may have one co...

    Text Solution

    |