Home
Class 12
MATHS
Let x(1), x(2) be the roots of x^(2) - 3...

Let `x_(1), x_(2)` be the roots of `x^(2) - 3x + a = 0` and `x_(3), x_(4)` be the roots of `x^(2)-12x + b = 0`. If `x_(1) lt x_(2) lt x_(3) lt x_(4)` and `x_(1), x_(2), x_(3), x_(4)` are in G.P then ab equals

A

`(24)/(5)`

B

64

C

16

D

8

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos
  • QUESTION PAPER 2021

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTION|75 Videos

Similar Questions

Explore conceptually related problems

Let x_(1),x_(2) be the roots of x^(2)-3x+a=0andx_(3),x_(4) be the roots of x^(2)-12x+b=0 . If x_(1)ltx_(2)ltx_(3)ltx_(4)andx_(1),x_(2),x_(3),x_(4) are in GP then ab equals

3x-2 lt 2x+1

3(1-x) lt 2(x+4)

x+(x)/(2) + (x)/(3) lt 11

If alpha,beta are roots of x^2-3x+a=0 , a in R and alpha <1< beta then find the value of a.

Consider any set of observations x_(1),x_(2),x_(3),..,x_(101) . It is given that x_(1) lt x_(2) lt x_(3) lt .. lt x_(100) lt x_(101) , then the mean deviation of this set of observations about a point k is minimum when k equals

If 0 lt x lt pi and sin x+ sin^(2) x+ sin^(3)x=1 , find the minimu value of cot^(2)x.

If 0lt x lt (pi)/(2) and 1+ sin x+ sin ^(2) +sin ^(3) x+…oo= 4+2 sqrt3, then the value of x is-

Let x_1,x_2,x_3,x_4 ,be the roots (real or complex) of the equation x^4+ax^3+bx^2+cx+d=0 . If x_1+x_2=x_3+x_4 and a,b,c,d in R, then If a=2, then the value of b-c is

Solve for 'x' : 1 lt abs(x-2)lt3

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
  1. The length of conjugate axis of a hyperbola is greater than the length...

    Text Solution

    |

  2. Let f(x) = x^(4) - 4x^(3) + 4x^(2) + c, c in R. Then

    Text Solution

    |

  3. The graphs of the polynomial x^(2)-1 and cos x intersect

    Text Solution

    |

  4. A point is in motion along a hyperbola y = (10)/(x) so that its abscis...

    Text Solution

    |

  5. Let a = min {x^(2) + 2x + 3 : x in R} and b = lim(theta rarr 0)(1-cos...

    Text Solution

    |

  6. Let a gt b gt 0 and I(n) = a^(1//n) - b^(1//n), J(n) = (a-b)^(1//n) fo...

    Text Solution

    |

  7. Let hat(alpha), hat(beta), hat(gamma)be three unit vectors such that h...

    Text Solution

    |

  8. The position vectors of the points A, B, C and D are 3hat(i) - 2hat(j)...

    Text Solution

    |

  9. A particle starts at the origin and moves 1 unit horizontally to the r...

    Text Solution

    |

  10. For any non-zero complex number z, the minimum value of |z| + |z-1| is

    Text Solution

    |

  11. Let A = ((3, 0, 3), (0, 3, 0), (3,0,3)). Then the roots of the equatio...

    Text Solution

    |

  12. If A and B are (-2, -2) and (2, -4) respectively, find the coordinates...

    Text Solution

    |

  13. Equation of a tangent to the hyperbola 5x^(2) - y^(2) = 5 and which pa...

    Text Solution

    |

  14. Let f and g be differentiable on the interval I and let a, b in I, a l...

    Text Solution

    |

  15. Consider the function f(x) = (x^(3))/(4) - sin pi x + 3

    Text Solution

    |

  16. Let I(n) = int(0)^(1) x^(n) tan^(-1) x dx. If a(n) I(n+2) + b(n)I(n) =...

    Text Solution

    |

  17. Two particles A and B move from rest along a straight line with consta...

    Text Solution

    |

  18. The area bounded by y = x + 1 and y = cos x and the x-axis, is

    Text Solution

    |

  19. Let x(1), x(2) be the roots of x^(2) - 3x + a = 0 and x(3), x(4) be th...

    Text Solution

    |

  20. If theta in RR and (1 +i cos theta)/(1-2 i cos theta) is real number,...

    Text Solution

    |