Home
Class 11
MATHS
If sintheta and costheta are the roots o...

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

A

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

B

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

C

`a^2+b^2=c^2`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

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

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

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

If sintheta,costheta be the roots of a x^2+b x+c=0 , then prove that b^2=a^2+2ac dot

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. (cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhe...

    Text Solution

    |

  2. In triangle ABC, right angled at C, (tanA+tanB) equal to

    Text Solution

    |

  3. If sintheta and costheta are the roots of the equation ax^2-bx+c=0, th...

    Text Solution

    |

  4. (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=

    Text Solution

    |

  5. If tanbeta=(2sinalphasingamma)/sin(alpha+gamma), then cotalpha,cotbeta...

    Text Solution

    |

  6. If(1+tan1^@)(1+tan2^@)....(1+tan45^@)=2^n, then the value of n is

    Text Solution

    |

  7. If alpha+beta =(pi/2) and beta+gamma=alpha, then the tanalpha equals:

    Text Solution

    |

  8. If sec(theta+alpha)+sec(theta-alpha)=2/costheta. then cos^2theta is eq...

    Text Solution

    |

  9. If tanA=(1-cosB)/sinB, then

    Text Solution

    |

  10. If m and M be the minimum and maximum value of 10 cos^2x-6sinxcosx+2si...

    Text Solution

    |

  11. 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+cos^6x) is equal to

    Text Solution

    |

  12. If tanx=(b/a), then acos2x+bsin2x is equal to

    Text Solution

    |

  13. tan9^@-tan27^@-tan63^@+tan81^@ is equal to

    Text Solution

    |

  14. (1+sintheta-costheta)/(1+sintheta+costheta)=

    Text Solution

    |

  15. The number of ordered pairs (alpha,beta), where alpha,betain(-pi,pi) s...

    Text Solution

    |

  16. The number of solutions of the equation x/100=sinx is

    Text Solution

    |

  17. If mtan(theta-30^@)=ntan(theta+120^@), then cos2theta is equal to

    Text Solution

    |

  18. The equation cos2x+asinx=2a-7 possessses a solution if

    Text Solution

    |

  19. (sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costh...

    Text Solution

    |

  20. If 4nalpha=pi, thencotalpha cot2alpha cot3alpha.... cot(2n-1)alpha is ...

    Text Solution

    |