Home
Class 12
MATHS
If the equation ax^2+2bx+c=0 and ax^2+2c...

If the equation `ax^2+2bx+c=0` and `ax^2+2cx+b=0` `b!=c` have a common root ,then `a/(b+c`=

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 the equation ax^2+2bx+c=0 and ax^2+2cx+b=0 , a!=o , b!=c , have a common too then their other roots are the roots of the quadratic equation

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equations ax^2+bx+c=0 and cx^2+bx+a=0, a!=c have a negative common root then the value of a-b+c=

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If the equations ax^(2) +2bx +c = 0 and Ax^(2) +2Bx+C=0 have a common root and a,b,c are in G.P prove that a/A , b/B, c/C are in H.P

If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0 ( b != c ) have a common root then a + 4b + 4c is equal to

If a,b,c in R and the equation ax^2+bx+c = 0 and x^2+ x+ 1=0 have a common root, then

If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a common root, then a:b:c is

If the equations ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common root then a : b : c is equal to

If the equation x^2+2x+3=0 and ax^2+bx+c=0 have a common root then a:b:c is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |

  2. The coefficient of x^3 in the expansion of 3/((1+3x)^3)i s

    Text Solution

    |

  3. If the equation ax^2+2bx+c=0 and ax^2+2cx+b=0 b!=c have a common root ...

    Text Solution

    |

  4. Normal drawn at P(t), having negative ordinate, to parabola y^2=16 x m...

    Text Solution

    |

  5. A chess game between two grandmasters X and Y is won by whoever first ...

    Text Solution

    |

  6. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

    Text Solution

    |

  7. Find the values of a and b such that the function defined by f(x)={...

    Text Solution

    |

  8. In a geometric progression with common ratio q, the sum of the firs...

    Text Solution

    |

  9. In a set of real numbers a relation R is defined as xRy such tha...

    Text Solution

    |

  10. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

    Text Solution

    |

  11. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))d...

    Text Solution

    |

  12. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

    Text Solution

    |

  13. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

    Text Solution

    |

  14. If the value of the definite integral int ^(-1) ^(1) cos ^(-1) ((1)/(s...

    Text Solution

    |

  15. The real value of k so that the lines x+k y+2=0 3x+2y+1=0 2x+y+2=0" ...

    Text Solution

    |

  16. If 9(27)^(x^2+y+z)+9(27)^(x+y+z^2)+9(27)^(x+y^2+z)=11 then find the nu...

    Text Solution

    |

  17. 2sin^(2)theta + 3 costheta =0

    Text Solution

    |

  18. Evaluate: int(dx)/((x+1)sqrt(1+x-x^(2))

    Text Solution

    |

  19. Two complex numbers z1a n dz2 have relation R such that z1Rz2, arg(z1...

    Text Solution

    |

  20. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |