Home
Class 12
MATHS
If the sum of the roots of the equation ...

If the sum of the roots of the equation `(a+1)x^(2)+(2a+3)x+(3a+4)=0`, is -1.Find its product.

A

`4`

B

`2`

C

`1`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If the product of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0i s2, then find the sum roots.

Find the roots of the equation x^2+sqrt(3) x+3/4

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2

Find the roots of the equation x+(1)/(x)=3, x ne 0

Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=0.

If the difference of the roots of the equation 2x^(2)-(a+1)x+a-1=0 is equal to their product then prove that a=2

If the difference of the roots of the equation 2x^(2) - (a +1) x + a -1 = 0 is equal to their product, then prove that a = 2.

Find a so that the sum and product of the roots of the equation 2x^(2) + (a -3)x + 3a -5 = 0 are equal is

Product of the roots of the quadratic equation x^(2)+3x=0 is

Consider the graph of y = f(x) as shown in the following figure. (i) Find the sum of the roots of the equation f (x) = 0. (ii) Find the product of the roots of the equation f(x) = 4. (iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of th...

    Text Solution

    |

  2. If a is a root of the equation x^(2)-3x+1=0, then the value of (a^3)/(...

    Text Solution

    |

  3. If the sum of the roots of the equation (a+1)x^(2)+(2a+3)x+(3a+4)=0, i...

    Text Solution

    |

  4. The product of the roots of the equation x|x|-5x-6=0 is equal to

    Text Solution

    |

  5. If z=((sqrt(3)+i)^(3)(3i+ 4)^(2))/((8+6i)^(2)), then |z| is equal to

    Text Solution

    |

  6. Let w ne pm 1 be a complex number. If |w|=1" and "z=(w-1)/(w+1), then ...

    Text Solution

    |

  7. If z= e^((2pi i)/(3)), then 1+z+3z^(2)+2z^(3)+2z^(4)+3z^(5) is equal t...

    Text Solution

    |

  8. If z(1)= 2sqrt(2)(1+i)" and "z(2)=1+isqrt(3), then z(1)^(2)z(2)^(3) is...

    Text Solution

    |

  9. If the complex numbers z(1), z(2)" and "z(3) denote the vertices of an...

    Text Solution

    |

  10. If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^...

    Text Solution

    |

  11. If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0, then alpha^(2)+...

    Text Solution

    |

  12. If alpha" and "beta are the roots of the equation x^(2)+3x-4=0, then ...

    Text Solution

    |

  13. The value of x such that 3^(2x)-2(3^(x+2))+81=0 is

    Text Solution

    |

  14. If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " the...

    Text Solution

    |

  15. The equation whose roots are the squares of the roots of the eqation 2...

    Text Solution

    |

  16. z and omega are two nonzero complex number such that |z|=|omega|" and ...

    Text Solution

    |

  17. If |z-4| lt |z-2|, its solution is given by

    Text Solution

    |

  18. The locus of the centre of a circle which touches the circle |z-z(1)|=...

    Text Solution

    |

  19. If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 th...

    Text Solution

    |

  20. Difference between the corresponding roots of x^(2)+ax+b=0" and "x^(2)...

    Text Solution

    |