Home
Class 12
MATHS
If alpha and beta are the roots of the e...

If `alpha` and `beta` are the roots of the equation, `7x^2 -3x -2 = 0` , then the value of
`(alpha )/(1 - alpha^2) + (beta)/(1 + beta^2) ` is equal to :

A

`27/32`

B

`1/24`

C

`3/8`

D

`27/16`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation x^(2) -x+7=0 , then find the value of alpha^(2) + beta^(2) .

If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the value of alpha beta:

If alpha and beta are the roots of the equation x^(2)-x-4=0 , find the value of (1)/(alpha)+(1)/(beta)-alpha beta :

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. For a positive integer n, (1+1/x)^(n) is expanded in increasing pow...

    Text Solution

    |

  2. If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z ...

    Text Solution

    |

  3. If alpha and beta are the roots of the equation, 7x^2 -3x -2 = 0 , the...

    Text Solution

    |

  4. If x = 1 is a critical point of the function f(x) = (3x^2 + ax -2 - a...

    Text Solution

    |

  5. The area (in sq. units ) of the region A = { (x,y):(x - 1) [x] lt= y l...

    Text Solution

    |

  6. If the sum of the second , third and fourth terms of a positive term G...

    Text Solution

    |

  7. ((-1+sqrt(3)i)/(1-i))^(30) simplifies to

    Text Solution

    |

  8. If L = sin^2 ((pi)/(16)) - sin^2 ( pi/8) and M = cos^2 ( (pi)/(16...

    Text Solution

    |

  9. If a + x = b + y = c + z + 1 , where a, b,c,x,y,z are non polar distin...

    Text Solution

    |

  10. If the line y = mx + c is a common tangent to the hyperbola (x^2)/(10...

    Text Solution

    |

  11. Which of the following points lies on the tangent to the curve x^4 e^y...

    Text Solution

    |

  12. The statement (p to (q to p)) to (p to (p vv q) ) is :

    Text Solution

    |

  13. underset(x to 0)(lim)(x(""(e)^((sqrt(1+x^(2)+x^(4))-1)/x)-1))/(sqrt(1+...

    Text Solution

    |

  14. If the sum of the first 20 terms of the series log((7^(1//2)))x + l...

    Text Solution

    |

  15. the derivation of tan^-1((sqrt(1+x^2)-1)/x) with respect to tan^-1((2...

    Text Solution

    |

  16. If int(cos theta)/(5 + 7 sin theta - 2 cos^2 theta) d theta = A loge |...

    Text Solution

    |

  17. Let y = y (x) be the solution of the differential equation cos x (...

    Text Solution

    |

  18. If the length of the chord of the circle , x^2 + y^2 = r^2 (r gt 0) a...

    Text Solution

    |

  19. If the mean and the standard deviation of the data 3,5,7,a,b are 5 an...

    Text Solution

    |

  20. If for some alpha in R, the lines L1 : (x + 1)/(2) = (y-2)/(-1) = (...

    Text Solution

    |