Home
Class 12
MATHS
If a,b,c are in arithmetic progression t...

If a,b,c are in arithmetic progression then the roots of the equation `ax^(2)-2bx+c=0` are

A

`1 and (c)/(a)`

B

`-(1)/(a) and -c`

C

`-1 and -(c)/(a)`

D

`-2 and -(c)/(2a)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If a , b , c are in geometric progresion and the roots of the equations ax^(2)+2bx+c=0 are alpha and beta and those of cx^(2)+2bx+a=0 are gamma and delta then

The roots of the equation ax^2+bx+c=0 are equal when-

If a ,b ,c , are in A.P then the roots of the equation ax^(2)-2bx+c=0

If the roots of the equation ax^(2)+bx+c=0(ane0) be equal, then

IF b=c=0 then both roots of the equation ax^2+bx+c=0(ane0) are-

If the roots of the equation ax^2+bx+c=0(a!=0) be equal then

IF a,b,c are in G.P prove that the roots of the equation ax^2+2bx+c=0 are equal.

IF a=0 and b=0 then both roots of the equation ax^2+bx+c=0 are-

IF a,b,c are rational and a+b+c=0, show that the roots of the equation ax^2+bx+c=0 are rational.

One root of the equation ax^2+bx+c=0(ane0) is zero when-

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. Two coins are available, one fair the other two- headed. Choose a coin...

    Text Solution

    |

  2. Let R be the set of real numbers and the function f: RR to RR and g: R...

    Text Solution

    |

  3. If a,b,c are in arithmetic progression then the roots of the equation ...

    Text Solution

    |

  4. The equation y^(2)+4x+4y+k=0 represents a parabola whose latus rectum ...

    Text Solution

    |

  5. If the circles x^(2)+y^(2)+2x+2ky+6=0 and x^(2)+y^(2)+2ky+k=0 intersec...

    Text Solution

    |

  6. If four distinct points (2k, 3k) (2,0) (0,3) (0,0) lie on a circle, th...

    Text Solution

    |

  7. The line joining A( b cos alpha, b sin alpha) and B( a cos beta, alpha...

    Text Solution

    |

  8. Let the foci of the ellipse (x^(2))/(9)+y^(2)=1 subtend a right angle ...

    Text Solution

    |

  9. The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2...

    Text Solution

    |

  10. The value of the integral int(pi//6)^(pi//2) ((1+sin 2x+cos 2x)/(sin x...

    Text Solution

    |

  11. The valueof the integral int(0)^((pi)/(2)) (1)/(1+(tanx)^(101))dx is e...

    Text Solution

    |

  12. The integrating factor of the differential equation 3xlog(e)x(dy)/(dx)...

    Text Solution

    |

  13. Number of solutions of the equation tan x+sec x=2 cos, x, in {0, pi} i...

    Text Solution

    |

  14. The value of the integral int (0)^((pi)/(4)) (sin x+cosx)/(3+ sinx2x)d...

    Text Solution

    |

  15. Let y=((3^(x)-1)/(3^(x)+1)) sinx+log(e)(1+x), x gt -1 then at x=0, (dy...

    Text Solution

    |

  16. Maximum value of the function f(x)=(x)/(8)+(2)/(x) on the interval [1...

    Text Solution

    |

  17. For -(pi)/(2) lt x lt (3pi)/(2) the value of (d)/(dx){"tan"^(-1)(cosx)...

    Text Solution

    |

  18. The value of the integral int(-2)^(2)(1+2 sinx)e^(|x|)dx is equal to

    Text Solution

    |

  19. The maximum value of |z| when the complex number z satisfied the condi...

    Text Solution

    |

  20. If ((3)/(2)+ (sqrt(3))/(2))^(50)=3^(25)(x+iy) where x and y are real, ...

    Text Solution

    |