Home
Class 12
MATHS
p and q are distinct prime numbers ...

`p and q` are distinct prime numbers and if the equation `x^2 -px +q=0` has positive integer as its roots then the roots the roots of the equation are

A

`2,3`

B

`1,2`

C

`3,1`

D

`1,-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

IF 3+ 4i is a root of the equation x^2 +px +q=0 then

If the equation x^(2) + 5x + K = 0 has real and distinct roots, then….

IF x^2 +px + q=0 and x^2 + qx +p=0 have a common root , then their other roots are the roots of

The coefficient of x in a quadratic equation x^2 + px +q=0 was taken as 17 in place of 13 and its roots found to be -2 and -15 . The roots of the original equation are

The real number k for which the equation, 2x^(3)+3x+k=0 has two distinct real roots in [0,1]

alpha and beta are the roots of the equation x^2 +px +p^3 =0,( p ne 0) . If the point ( alpha , beta ) lies on the curve x= y^2 , then the roots of the given equaion are

If the cubic equation 3x^3 +px +5=0 has exactly one real root then show that p gt 0

IF 2 + sqrt(3) is a root of the equation x^(2) +px +q =0 then

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

    Text Solution

    |

  2. If roots of the equation x^2-bx +c=0 be two consecutive intege...

    Text Solution

    |

  3. p and q are distinct prime numbers and if the equation x^2 -px ...

    Text Solution

    |

  4. IF both the roots of the equation x^2 -6ax+2-2a +9a^2 =0 exceed 3...

    Text Solution

    |

  5. If the roots of x^2+x+a=0 exceed , a then

    Text Solution

    |

  6. The roots of 3x^2 + 4x -7=0 are

    Text Solution

    |

  7. The roots of 5x^2 -3x +2=0 are

    Text Solution

    |

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

    Text Solution

    |

  9. IF ad ne bc then the roots of (a^2 +b^2)x^2+2x(ac+bd) +(c^2 +d^2)...

    Text Solution

    |

  10. For p,q in R, the roots of (p^2+q^2)x^2+2(p+q)x+2=0 are

    Text Solution

    |

  11. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

    Text Solution

    |

  12. The roots of (x-b)(x-c) +(x-a)(x-c) +(x-a) (x-b)=0 are

    Text Solution

    |

  13. The roots of (x-a) (x-a -1) +(x-a-1) +(x-a-2) +(x-a) (x-a-2)=0 a in...

    Text Solution

    |

  14. IF l,m,n are rational the roots of (m +n) x^2 -(l+m+n)x+l =0 are

    Text Solution

    |

  15. If the roots of a^2x^2 + 2 bx + c^2 =0 are imaginary then the ro...

    Text Solution

    |

  16. IF the roots of (a^2 +b^2 ) x^2 +2 (bc + ad ) x +(c^2+d^2)=0 ar...

    Text Solution

    |

  17. IF m,n,K are rational and m=k +(n)/(k) then the roots of x^2 ...

    Text Solution

    |

  18. IF alpha , beta are the roots of x^2 +px +q=0 and alpha ^4 ...

    Text Solution

    |

  19. Let a,b,c be real numbers a ne 0 if alpha is a roots of a^2 ...

    Text Solution

    |

  20. If p(x)= ax^(2)+bx+c and Q(x) =-ax^(2)+dx+c where ac ne 0 then the e...

    Text Solution

    |