Home
Class 12
MATHS
If x^2+a x+10=0 and x^2+b x-10=0 have co...

If `x^2+a x+10=0` and `x^2+b x-10=0` have common root, then `a^2-b^2` is equal to 10 (b) 20 (c) 30 (d) 40

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) is equal to

If x^(2)+ax+10=0 and x^(2)+bx-10=0 have common root,then a^(2)-b^(2) is equal to 10 (b) 20(c)30 (d) 40

If x^(2)+ax+10=0andx^(2)+bx-10=0 have common root,then a^(2)-b^(2) is equal to 10 b.20 c.30 d.40

If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b is equal to

If x^(2)+ax+bc=0 and x^(2)+bx+ca=0 have a common root,then a+b+c=1

IF x^2 + a x + bc = 0 and x^2 + b x + c a = 0 have a common root , then a + b+ c=

If x^(2)+bx+c=0,x^(2)+cx+b=0(b!=c) have a common root then b+c=

If x^(2)+3x+3=0 and ax^(2)+bx+1=0 ,a,b in Q have a common root,then value of (3a +b) is equal to : (A) (1)/(3) (B) 1 (C) 2 (D) 4

If a + b =8, a -b =4, then a^2 + b^2 is equal to (A) 20 (B) 40 (C ) 10 (D) 30

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-JEE MAINS-All Questions
  1. The number of ordered pairs (m, n ,p) such that 2^m+ 2^n +2^p is div...

    Text Solution

    |

  2. The number of tangents drawn from point (-5,3) to the hyperbola (x^2)/...

    Text Solution

    |

  3. If x^2+a x+10=0 and x^2+b x-10=0 have common root, then a^2-b^2 is equ...

    Text Solution

    |

  4. Let F(x) =int(sinx)^(cos x) e^((1+arcsin t)^2) dt on [0,pi/2] then(A)...

    Text Solution

    |

  5. Find angle of intersection of the curves y=4 - x^2 and y=x^2.

    Text Solution

    |

  6. Let f and g be two real values functions defined by f(x)= x + 1 and ...

    Text Solution

    |

  7. If 2a^2 - 7ab -ac +3b^2-2bc-c^2=0 then the family of lines ax + by + c...

    Text Solution

    |

  8. If two of the 64 squares are chosen at random on a chess board, the pr...

    Text Solution

    |

  9. If 4 squares are chosen at random on a chess board, the probability th...

    Text Solution

    |

  10. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

    Text Solution

    |

  11. The area of the triangle whose sides. are 5 cm, 13 cm and 12 cm is

    Text Solution

    |

  12. The median of a set of 9 distinct observations is 20.5. If each of the...

    Text Solution

    |

  13. The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is :

    Text Solution

    |

  14. If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find th...

    Text Solution

    |

  15. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  16. int- 1^1(e^(-1/ x))/(x^2(1+e^(-2/ x)))dx is equal to :

    Text Solution

    |

  17. Construct the truth table for the followings statements : (a) (p^^q)...

    Text Solution

    |

  18. .Let a1, a2, a3... be in AP and g1, g2... be in GP If a1, g1=2 and a...

    Text Solution

    |

  19. If f(x)={ax^3+b, for 0 le x le 1 and 2cospix+tan^-1x, for 1 < x le 2 b...

    Text Solution

    |

  20. The straight line x/4+y/3=1 intersects the ellipse x^2/16+y^2/9 =1 at ...

    Text Solution

    |