Home
Class 12
MATHS
The ratio of the roots of the equation x...

The ratio of the roots of the equation `x^(2)+alphax+alpha+2=0` is 2. find the values of the parameter `alpha`.

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 alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

If alpha,beta are the roots of the equation x^(2)+px+q=0 , find the value of (a) alpha^(3)beta+alphabeta^(3) (b) alpha^(4)+alpha^(2)beta^(2)+beta^(4) .

If alpha and beta are the roots of the quadratic equation x^(2) - 4x - 6 = 0 , find the values of alpha^(2) + beta^(2) .

If tan "" (alpha )/(2) and tan "" (beta)/( 2) are the roots of the equation 8x ^(2) -26x + 15 =0, then find the value of cos (alpha + beta).

If alpha and beta are the roots of the equation x^2+sqrt(alpha)x+beta=0 then the values of alpha and beta are -

Find the value of p, such that the difference of the roots of the equation x^(2)-px+10=0 is 3. If the roots of x^(2)-px+10=0 are alpha,beta find the quadratic equation whose roots are (alpha+beta)^(2)andalpha^(2)beta-alphabeta^(2) .

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha,beta are the roots of the equation 3x^(2)-6x+4=0 , find the value of ((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3alphabeta .

If "tan"(alpha)/(2) and "tan"(beta)/(2) are the roots of the equation 8x^(2)-26x+15=0 , then find the value of "tan"((alpha+beta)/(2))

If alpha and beta are the roots of the equation 3x^(2) -4x+ 1 =0 ,find the equation whose roots are (alpha^(2))/( beta) and ( beta^(2))/( alpha )

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Solve the equation 12^x-56 x^2+89 x^2-56 x+12=0.

    Text Solution

    |

  2. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  3. The ratio of the roots of the equation x^(2)+alphax+alpha+2=0 is 2. fi...

    Text Solution

    |

  4. If y^(2)=p(x) is a polynomial of degree 3, then 2(d)/(dx)(y^(3)(d^(2)y...

    Text Solution

    |

  5. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10 B=[(4,2,2),(-5,0,alpha),(1,-2...

    Text Solution

    |

  6. The equation of perpendicular bisectors of the sides AB and AC of a tr...

    Text Solution

    |

  7. Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

    Text Solution

    |

  8. In a parallelogram as shown in the figure (a != b) Prove that the ...

    Text Solution

    |

  9. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  10. If g(x)=2f(2x^(2)-3x^(2))+f(6x^(2)-4x^(3)-x), AA x in R and f''(x) gt ...

    Text Solution

    |

  11. Sum of roots of equations f(x) - g(x)=0 is (a)0 (b) 2alpha (c) -2al...

    Text Solution

    |

  12. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

    Text Solution

    |

  13. Let f(x)= x^2+2ax+b, g(x)=cx^2+2dx+1 be quadratic equation whose grap...

    Text Solution

    |

  14. Let f(x)=x^2+2a x+b ,g(x)=c x^2+2dx+1 be quadratic expressions whose g...

    Text Solution

    |

  15. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

    Text Solution

    |

  16. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

    Text Solution

    |

  17. If If {:(" ""x"),(y=""),(" ""x"),(" ""a+")...

    Text Solution

    |

  18. int ( 1+ x + sqrt( x+ x^(2)))/(( sqrt(x) + sqrt( 1+x))dx is equal to

    Text Solution

    |

  19. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

    Text Solution

    |

  20. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

    Text Solution

    |