Home
Class 12
MATHS
If a, b, c are distinct positive rationa...

If a, b, c are distinct positive rational numbers and they are in A.P., then the roots of the equation `ax^(2) +2bx+x=0` are-

A

imaginary

B

rational and equal

C

ral may be rational or irrational

D

rational and unequal

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If a ,b ,c , are in A.P then the roots of the equation ax^(2)-2bx+c=0

If a,b,c,d are distinct positive numbers in AP, then

The roots of the equation ax^2+bx+c=0 are equal when-

IF a=0 and b=0 then both roots of the equation ax^2+bx+c=0 are-

IF a,b,c are in G.P prove that the roots of the equation ax^2+2bx+c=0 are equal.

IF b=c=0 then both roots of the equation ax^2+bx+c=0(ane0) are-

If the roots of the equation ax^(2)+bx+c=0(ane0) be equal, then

If a, b, c are in arithmetic progression, then the roots of the equation ax^2-2bx+c=0 are

If the roots of the equation ax^2+bx+c=0(a!=0) be equal then

If a, b and c are positive numbers in a G.P., then the roots of the quadratic equation (log_ea)x^2-(2log_eb)x.+(log_ec)=0 are

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 9
  1. The number of words that can be formed out of the letters of the word ...

    Text Solution

    |

  2. The product [32. (32)^(1//6). (32) ^(1//36). ..o] is equal to-

    Text Solution

    |

  3. If a, b, c are distinct positive rational numbers and they are in A.P....

    Text Solution

    |

  4. If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, ...

    Text Solution

    |

  5. 10 boys and 6 girls are arranged in a row, the number of arrangement i...

    Text Solution

    |

  6. If i= sqrt(-1) then the value of sqrti is-

    Text Solution

    |

  7. The sm of numjbers lying between 107 and 253 and divisible by 5 is-

    Text Solution

    |

  8. The coefficient of x ^(24) in (1+ x^(2)) ^(12)(1+ x^(12))(1+ x ^(24)) ...

    Text Solution

    |

  9. If the sum of squares of the diviations of 10 observations taken from ...

    Text Solution

    |

  10. If omega is a complex cube root of unity, then the value of (2-omega) ...

    Text Solution

    |

  11. If the coefficient of x^(7) in (ax ^(2) +(1)/(bx)) ^(11) equals the c...

    Text Solution

    |

  12. The probability of getting a total of at least 6 in the simultaneous t...

    Text Solution

    |

  13. In the Argand diagram, OAP is an isosceles right angled triangle, righ...

    Text Solution

    |

  14. The real part of (1+ cos ""pi/5 + i sin ""pi/5)^(-1) is-

    Text Solution

    |

  15. The valud of [15^(2)+16^(2)+17^(2)+…+ 30^(2)] is-

    Text Solution

    |

  16. 5 boys and 5 girls are sitting in a row randomly. The probability that...

    Text Solution

    |

  17. If x in RR and (x)/(2x+1) ge 1/4, state which of the following is true...

    Text Solution

    |

  18. The value of (""^(20) C(4) +2* ""^(20)C(3)+""^(20)C(2) -""^(22)C(18)) ...

    Text Solution

    |

  19. How many ways are there to arrange the letters in the word GARDEN with...

    Text Solution

    |

  20. Assuming that no two consecutive digits are same, the number of n-digi...

    Text Solution

    |