Home
Class 11
MATHS
Solve the equation x^2+p x+45=0. it is g...

Solve the equation `x^2+p x+45=0.` it is given that the squared difference of its roots is equal to 144

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

Find m, given that the difference of the roots of the equation 2x^2-12x+m+2=0 is 2.

For the equation 3x^2+p x+3=0,p >0, if one of the root is square of the other, then p is equal to (a) 1//3 b. 1 c. 3 d. 2//3

Solve the equation 25x^2-30x+11 =0 by using the general expression for the roots of a quadratic equation .

Solve the equation 2x^(2)+x-10=0 by perfect square method.

If the roots of the equation ax^(2)-4x+a^(2)=0 are imaginery and the sum of the roots is equal to their product then a is

One root of the equation 3x^2-5x+c=0 is 2, find its other root.

IF alphapmsqrtbeta be the roots of the equation x^2+px+q=0 , prove that 1/alphapm1/sqrtbeta will be the roots of the equation (p^2-4q)(p^2x^2+4px)-16q=0 .

If the sum of the roots of the equation x^2-px+q=0 be three times their difference show that, 2p^2=9q .

Solve the quadratic equation 2x^2-4x+3=0 by using the general expression for the roots of a quadratic equation .

If roots of the equation a x^2+b x+c=0 be a quadratic equation and α,β are its roots then f(−x)=0 is an equation whose roots

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. z^2+zabsz+absz^2=0 then the locus of z is

    Text Solution

    |

  2. If the sum of the roots of the equation 1/(x+a)+1/(x+b)=1//c is zero,...

    Text Solution

    |

  3. Solve the equation x^2+p x+45=0. it is given that the squared differen...

    Text Solution

    |

  4. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

    Text Solution

    |

  5. z1a n dz2 lie on a circle with center at the origin. The point of inte...

    Text Solution

    |

  6. If alpha,beta are the roots of the equation 2x^2-35x+2=0 , the find ...

    Text Solution

    |

  7. If one root of the equation z^2-a z+a-1= 0 is (1+i), where a i...

    Text Solution

    |

  8. If |z1|=|z2|=|z3|=1 and z1+z2+z3=0 then the area of the triangle whose...

    Text Solution

    |

  9. Simplify: (sqrt(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))

    Text Solution

    |

  10. Find a quadratic equation whose product of roots x1 and x2 is equa...

    Text Solution

    |

  11. If sqrt(5-12 i)+sqrt(-5-12 i)=z , then principal value of a rgz can be

    Text Solution

    |

  12. If (x+i y)(p+i q)=(x^2+y^2)i , prove that x=q ,y=pdot

    Text Solution

    |

  13. If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find...

    Text Solution

    |

  14. Let A ,B ,C ,D be four concyclic points in order in which A D : A B=C ...

    Text Solution

    |

  15. Convert (1+3i)/(1-2i) into the polar form.

    Text Solution

    |

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

    Text Solution

    |

  17. Let the altitudes from the vertices A, B and C of the triangle ABC me...

    Text Solution

    |

  18. For |z-1|=1, show that tan{[a r g(z-1)]/2}-((2i)/z)=-i

    Text Solution

    |

  19. The quadratic polynomial p(x) has the following properties:p(x)geq0 fo...

    Text Solution

    |

  20. If z1=9y^2-4-10ix,z2=8y^2-20i where z1=barz2 then z=x+iy is equal to

    Text Solution

    |