Home
Class 12
MATHS
The value(s) of a, so that following e...

The value(s) of a, so that following equation (s) have common root(s) `x^3-2x^2-x+a=0 and x^2-5x+2a=0` is/are
a. `0` b. `2` c. `(21)/8` d. `3/8`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the nature of the roots of the following equation, without finding the roots. 2x^(2)-8x+3=0

If x=1 is a common root of a x^2+a x+2=0 and x^2+x+b=0 then, a b= (a) 1 (b) 2 (c) 4 (d) 3

If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0 , then a b=

Find the value of k , so that the equation 2x^2+kx-5=0 and x^2-3x-4=0 may have one root in common.

Which of the following equations has the sum of its roots as 3? (a) x^2+3x-5=0 (b) -x^2+3x+3=0 (c) sqrt2x^2-3/sqrt2 x-1=0 (d) 3x^2-3x-3=0

Number of roots which are common to the equations x^3+2x^2+2x+1=0 and x^(2008)+x^(2009)+1=0, are (A) 0 (B) 1 (C) 2 (D) 3

Which of the following equations has the sum of its roots as 3? (a) x^2+3x-5=0 (b) -x^2+3x+3=0 (c) sqrt(2)x^2-3/(sqrt(2))x-1=0 (d) 3x^2-3x-3=0

The value of a such that x^2-11 x+a=0 and x^2-14 x+2a=0 may have a common root is (a) 0 (b) 12 (c) 24 (d) 32.

For which value of k will the equations x^(2)-kx-21=0 and x^(2)-3kx+35=0 have one common root ?

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Consider the function f defined by f(x)={[0,x=0 or x is irrational],[...

    Text Solution

    |

  2. if m belongs to [-1,0], then prove that the equation sin^4 x+ (m+1) si...

    Text Solution

    |

  3. The value(s) of a, so that following equation (s) have common root(s...

    Text Solution

    |

  4. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

    Text Solution

    |

  5. Let f: RvecR be a continuous function and f(x)=f(2x) is true AAx in R...

    Text Solution

    |

  6. ("lim")(n ->oo)[sum(r=1)^n1/(2^r)],"where "[dot]" denotes G I F is equ...

    Text Solution

    |

  7. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  8. (lim)(kvec0)(I n(I n(1+k^4)))/(I n(I n(1+k^2)))=lambda,t h e nlambdai ...

    Text Solution

    |

  9. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

    Text Solution

    |

  10. If equation f(x)=x^4-a x^3+b x^2-c x+420 have all roots integer and gr...

    Text Solution

    |

  11. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

    Text Solution

    |

  12. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. Let C be a circle with two diameters intersecting at an angle of 30^0d...

    Text Solution

    |

  15. The roots of the equation x ^(5) - 40 x ^(4) + ax ^(3) + bx ^(2) + cx ...

    Text Solution

    |

  16. The equation of a circle touching the coordinate axes and the line 3x ...

    Text Solution

    |

  17. Let f(x)=x^(3)+ax^(2)+bx+c be the given cubic polynomial and f(x)=0 be...

    Text Solution

    |

  18. The range of values of lambda,(lambda>0) such that the angle theta bet...

    Text Solution

    |

  19. Solve each of the following system of equation in R :|(2x-1)/(x-1)|>2

    Text Solution

    |

  20. Two circle of radii R and r ,R > r touch each other externally then th...

    Text Solution

    |