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

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

B

`sin18^(@),cos36^(@)`

C

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

D

`cos 18^(@),cos36^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`4x^(2)-2sqrt(5)x+1=0`
`therefore x=(2sqrt(5)+-2)/(8)=(sqrt(5)+-1)/(4)`
`therefore` Roots are `sin 18^(@)` and `cos36^(@)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Exercise (Multiple Correct Answer Type)|22 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Exercise (Linked Comprehension Type)|20 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Concept App. 3.10|5 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

The roots of the equation 4x^2-2sqrt(5)x+1=0,a r e

Find the nature of the roots of the equation 2x^2-sqrt3x+2=0 .

If the roots of the equation 4x^(2)-5x+2=0" are "(alpha^(2))/(beta)and(beta^(2))/(alpha) the the equation, the roots of which are alphaandbeta , is

The roots of the quadratic equation x^(2)-2x+1=0 are ______ and _____.

The roots of the equation x^(4)-2x^(2)+4=0 are the vertices of a :

Verify whether 1 and (3)/(2) are the roots of the equation 2x^(2)-5x+3=0

Find the roots of the equation 2x^2 - x + 1/8 = 0

The roots of the quadratic equation 2x^2+3x+1 =0 are

Dicuss the nature of the roots of the following equations: x^2-2sqrt7x-2=0

CENGAGE PUBLICATION-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise (Single Correct Answer Type)
  1. If A,B,C, are the angles of a triangle such that cotA/2=3tanC/2, then ...

    Text Solution

    |

  2. If 2sec 2theta=tan phi+cotphi, then one of the values of theta+phi is

    Text Solution

    |

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

    Text Solution

    |

  4. If A and B are acute positive angles satisfying the equations 3 sin^(2...

    Text Solution

    |

  5. If cos 25^0 + sin 25^0 = K, then cos 50^0 is equal to

    Text Solution

    |

  6. The value of cot(7pi)/(16)+2cot(3pi)/8+cot(15pi)/(16) is 4 (b) 2 (c...

    Text Solution

    |

  7. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  8. (sin^2A-sin^2B)/(sinAcosA-sinBcosB) is equal to (a) tan(A-B) (b...

    Text Solution

    |

  9. If cos(alpha-beta)=3sin(alpha+beta),t h e n1/(1-3sin2alpha)+1/(1-3sin2...

    Text Solution

    |

  10. The value of cos^2 10^0-cos10^0cos50^0+cos^2 50^0 is equal to 4/3 (b)...

    Text Solution

    |

  11. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...

    Text Solution

    |

  12. If sinx+cos e cx+tany+coty=4 where xa n dy in [0,pi/2],t h e ntany/2 i...

    Text Solution

    |

  13. If 2 sin 2alpha= | tan beta+ cot beta |alpha,beta, in((pi)/(2),pi), th...

    Text Solution

    |

  14. If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the va...

    Text Solution

    |

  15. The value of sin^3 10^0+sin^3 50^0-sin^3 70^0 is equal to -3/2 (b) 3/...

    Text Solution

    |

  16. Let P(x)=((1-cos2x+sin2x)/(1+cos2x+s in2x))^2+((1+cotx+cot^2x)/(1+tanx...

    Text Solution

    |

  17. If (3-tan^(2)""(pi)/(7))/(1-tan^(2)""(pi)/(7))=kcos""(pi)/(7) then the...

    Text Solution

    |

  18. cos e c(360^0)/7+cos e c(540^0)/7= cos e c(180^0)/7 (b) cos e c(90^0...

    Text Solution

    |

  19. If theta1a n dtheta2 are two values lying in [2,2pi] for which t a nth...

    Text Solution

    |

  20. If tantheta=sqrt(n), where n in N ,geq2,t h e nsec2theta is always a ...

    Text Solution

    |