Home
Class 12
MATHS
If sum of the roots of the quadratic equ...

If sum of the roots of the quadratic equation, `a x^2+b x+c=0 is 12 ` , then the sum of the roots of the equation, `a(x+1)^2+b(x+1)+c=0` is: (a)`9` (b) `10` (c) `12` (d)` 14`

Text Solution

AI Generated Solution

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

If sum of the roots of the quadratic equation, a x^2+b x+c=0i s12 , then the sum of the roots of the equation, a(x+1)^2+b(x+1)+c=0 is: a. 9 b. 10 c. 12 d. 14

Let alpha,beta be the roots of the quadratic equation ax^2+bx+c=0 then the roots of the equation a(x+1)^2+b(x+1)(x-2)+c(x-2)^2=0 are:-

The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is (a) 0 (b) 1 (c) 2 (d) 3

If alpha and beta are the roots of the equation ax^(2)+bc+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 (c) 2 (d) 3

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

The sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their recipocals, prove that (c)/(a),(a)/(b),(b)/(c) are in A.P.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the tangent at a point P with parameter t, on the curve x=4t^2+3, y...

    Text Solution

    |

  2. The lines 3x+4y=9&4x-3y+12=0 intersect at Pdot The first line intersec...

    Text Solution

    |

  3. If sum of the roots of the quadratic equation, a x^2+b x+c=0 is 12 , ...

    Text Solution

    |

  4. If y= ln 5 (ln 7 x),then (dy)/(dx) =

    Text Solution

    |

  5. The equation of the base of an equilateral triangle is x+y-2=0 and the...

    Text Solution

    |

  6. The radius of a right circular cylinder increases at a constant rate. ...

    Text Solution

    |

  7. If (x1-x2)^2+(y1-y2)^2=144 ,(x2-x3)^2+(y2-y3)^2=25 and (x3-x1)^2+(y3-y...

    Text Solution

    |

  8. A circle with center in the first quadrant is tangent to y = x+10, y =...

    Text Solution

    |

  9. If A , B , C , D are the angles of a quadrilateral, then (tanA+tanB+...

    Text Solution

    |

  10. The point in the interval (0,2pi) where f(x) =e^(x) sinx has maximum ...

    Text Solution

    |

  11. A line x+3y=12 cuts the xa n dy axis in Aa n dB respectively. If Pa n ...

    Text Solution

    |

  12. If f is real-valued differentiable function such that f(x)f'(x)<0 for...

    Text Solution

    |

  13. Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two t...

    Text Solution

    |

  14. Total number of values of ' x ' satisfying the equation, 2^(cos^2x-1)=...

    Text Solution

    |

  15. If a vector vecr of magnitude 3sqrt6 is directed along the bisector of...

    Text Solution

    |

  16. Solve :(tanx-(1)/(sqrt3))(cosx-(1)/(2))le0.

    Text Solution

    |

  17. Let [a] denote the greatest integer less than or equal to a. The set o...

    Text Solution

    |

  18. If vec b is a vector whose initial point divides thejoin of 5 hat i...

    Text Solution

    |

  19. Let ' n ' is the number of ordered pair (x ,y) satisfying the system o...

    Text Solution

    |

  20. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

    Text Solution

    |