Home
Class 12
MATHS
Let both root of equation ax^2 - 2bx + 5...

Let both root of equation `ax^2 - 2bx + 5 = 0` are `α` and root of equation `x^2 - 2bx - 10 = 0` are `α` and `β` . Find the value of `α^2` + `β^ 2`

A

24

B

28

C

26

D

25

Text Solution

Verified by Experts

The correct Answer is:
`D`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|2 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|445 Videos

Similar Questions

Explore conceptually related problems

Let both root of equation ax^2 - 2bx + 5 = 0 are alpha and root of equation x^2 - 2bx - 10 = 0 are alpha and beta . Find the value of alpha^2 + beta^ 2

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

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

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

cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0 , then find the value of sin2α is:

If alpha, beta be the roots of the equation ax^2 + bx + c= 0 and gamma, delta those of equation lx^2 + mx + n = 0 ,then find the equation whose roots are alphagamma+betadelta and alphadelta+betagamma

The ratio of the roots of the equation ax^2+ bx+c =0 is same as the ratio of roots of equation px^2+ qx + r =0 . If D_1 and D_2 are the discriminants of ax^2+bx +C= 0 and px^2+qx+r=0 respectively, then D_1 : D_2

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

If the ratio of the roots of the equation ax^2+bx+c=0 is equal to ratio of roots of the equation x^2+x+1=0 then a,b,c are in

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-MATHEMATICS
  1. Let x= sum(n=0)^oo (-1)^n (tantheta)^(2n) and y = sum(n=0)^oo (costhe...

    Text Solution

    |

  2. int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...

    Text Solution

    |

  3. Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...

    Text Solution

    |

  4. If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...

    Text Solution

    |

  5. z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...

    Text Solution

    |

  6. Let an be the n^(th) term, of a G.P of postive terms. If Sigma(n=1)^...

    Text Solution

    |

  7. If lim(x rarr 0)x[4/x]= A, then the value of x at which f(x) = [x^2]si...

    Text Solution

    |

  8. Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...

    Text Solution

    |

  9. If 10 different balls are to be placed in 4 distinct boxes at random, ...

    Text Solution

    |

  10. If p rarr (p wedge ~ q) is false. Truth value of p & q will be

    Text Solution

    |

  11. Let A = {x : |x| lt 2} and B = {x : |x - 2| ge 3} then

    Text Solution

    |

  12. Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sq...

    Text Solution

    |

  13. Let a function f: [0,5] rarr R be continuous , f(1) =3 and F be defind...

    Text Solution

    |

  14. Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...

    Text Solution

    |

  15. If f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1} an...

    Text Solution

    |

  16. If the distance between the plane 23x-10y-2z+48 =0 and the plane cont...

    Text Solution

    |

  17. Let veca, vecb and vecc be three vectors such that |veca |=sqrt(3), |...

    Text Solution

    |

  18. If .^25 C0 + 5 .^25 C1 + 9 .^25 C2 .... 101 .^25 C25 = 2^(25) k find k...

    Text Solution

    |

  19. Find the number of terms common to the two A.P. s : 3,7,11 , 407a n d...

    Text Solution

    |

  20. If the curves x^2-6x+y^2+8=0 and x^2-8y+y^2+16 -k =0 , (k gt 0) touch...

    Text Solution

    |