Home
Class 12
MATHS
The roots of the equation 4x^2-2sqrt5 x ...

The roots of the equation `4x^2-2sqrt5 x +1=0` are .

A

`cos18^(@),cos36^(@)`

B

`sin36^(@),cos18^(@)`

C

`sin18^(@),cos18^(@)`

D

`sin18^(@), sin36^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The roots of the equation 4x^(2)-2sqrt(5)x+1=0 are

The roots of the equation 4x^2-2sqrt(5)x+1=0,a r e (a)sin36^0,sin18^0 (b) sin18^0,cos36^0 (c)sin36^0,cos18^0 (d) cos18^0,cos36^0

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

The roots of the equation x^(2)+2sqrt(3)x+3=0 are

The roots of the equation x^(2) -2 sqrt(2) x + 1 = 0 are

The roots of the equation x^(2) + 5x + 1 = 0 are

If one common root of the equation 4x^(2)-2sqrt(5)x+1=0 and ax^(2)+bx+1=0 (a,b are rational numbers) is alpha and other root of ax^(2)+bx+1 is beta(alpha

If the roots of the equation ax^2 +x+b=0 be real, and unequal then the roots of the equation x^2-4sqrt(ab)x + 1 = 0 will be

If one roots of the equation x^(2)-sqrt(5)x-19=0 is (9+sqrt(5))/2 then find the other root.

What are the roots of the equation x^(2)+sqrt(2)x-4=0.

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. If alpha + beta+gamma=pi, prove that sin^2 alpha + sin^ beta - sin^2 g...

    Text Solution

    |

  2. If tan((alphapi)/(4))=cot((betapi)/(4)), then

    Text Solution

    |

  3. The roots of the equation 4x^2-2sqrt5 x +1=0 are .

    Text Solution

    |

  4. The radius of the circle whose are of length 15\ pi cm makes an angle ...

    Text Solution

    |

  5. If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=

    Text Solution

    |

  6. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

    Text Solution

    |

  7. If cos(theta+phi)= mcos(theta-phi), then prove that tan theta=(1-m)/(1...

    Text Solution

    |

  8. alpha & beta are solutions of a cos theta+b sin theta=c(cosalpha != ...

    Text Solution

    |

  9. Let n be a positive integer such that sin(pi/2n) + cos(pi/2n) = sqrt(n...

    Text Solution

    |

  10. cos^(4)theta-sin^(4)theta is equal to

    Text Solution

    |

  11. If tan alpha =m/(m+1) and tan beta =1/(2m+1) , then alpha+beta is equa...

    Text Solution

    |

  12. tan alpha+2tan2alpha+4tan4alpha+8cot8alpha is equal to

    Text Solution

    |

  13. If cos theta-4sintheta=1, the sintheta+4costheta=

    Text Solution

    |

  14. If A+C=2B, then (cosC-cosA)/(sinA-sinC)=

    Text Solution

    |

  15. If A+B=C, then cos^(2)A+cos^(2)B+cos^(2)C-2cosAcosBcosC=

    Text Solution

    |

  16. If 5cosx+12cosy=13, then the maximum value of 5sinx+12siny is (...

    Text Solution

    |

  17. If x=tan15^(@),y=cosec75^(@),z=4sin18^(@)

    Text Solution

    |

  18. For all values of theta,3-costheta+cos(theta+(pi)/(3)) lie in the inte...

    Text Solution

    |

  19. (tan8 0^(@)-tan1 0^(@))/tan70^(@)

    Text Solution

    |

  20. If sinA+sinB=sqrt3(cosB-cosA),then sin3A+sin3B=

    Text Solution

    |