Home
Class 10
MATHS
If one root of the equation 3x^(2)-10x+3...

If one root of the equation `3x^(2)-10x+3=0" is "(1)/(3)` then the other root is

A

`(-1)/(3)`

B

`(1)/(3)`

C

-3

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Let the other root be `alpha.` Then, `(1)/(3)xxalpha=(3)/(3)=1impliesalpha=3.`
So, the other root is 3.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4E|71 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|37 Videos

  • REAL NUMBERS

    RS AGGARWAL|Exercise Test Youself|20 Videos

Similar Questions

Explore conceptually related problems

If one root of the equation ax^(2)+x-3=0 is -1, then what is the other root?

If one root of the equation x^(2)+(1-3i)x-2(1+i)=0 is -1+i then the other root is

If one root of the equation x^2+a x+3=0 is 1, then the other root is 3 (b) -3 (c) 2 (d) -2

If one root of the quadratic equaion 3x^(2)-10x+p=0 is 1/3 , then the value of p and the other root respectively is :

If one root of the equation 4x^(3)x^(2)-16x+4=0 is 8 xx the other, then the roots are

one root of quadratic equation 14x^(2)-x-3=0

If one root of the equation x^(2) + ax + b =0 is 1/3 times the other. Then, the correct relation between a and b

Which of the following is/are CORRECT . A) If one root of the equation x^(2)-sqrt(5)x-19=0 is (9-sqrt(5))/(2) ,then the other root is (-9+sqrt(5))/(2) B) If one root of the equation x^(2)-sqrt(5)x-19=0 is (9-sqrt(5))/(2) ,then the other root is (9+sqrt(5))/(2) C) If one root of the equation x^(2)-ix-(1+i)=0 , (i=sqrt(-1)) is 1+i find the other root -1 D) If one root of the equation x^(2)-ix-(1+i)=0 , (i=sqrt(-1)) is 1+i find the other root 1-i

The root of the equation 3^(2x)-10.3^(x)+9=0 are

RS AGGARWAL-QUADRATIC EQUATIONS -Test Yourself
  1. If the product of the roots of the equation x^(2)-3x+k=10 is -2 then t...

    Text Solution

    |

  2. The ratio of the sum and product of the roots of the equation 7x^(2)-1...

    Text Solution

    |

  3. If one root of the equation 3x^(2)-10x+3=0" is "(1)/(3) then the other...

    Text Solution

    |

  4. If one root of 5x^(2)+13x+k=0 be the reciprocal of the other root then...

    Text Solution

    |

  5. If the sum of the roots of the equation kx^(2)+2x+3k=0 is equal to the...

    Text Solution

    |

  6. The roots of a quadratic equation are 5 and -2. Then, the equation is

    Text Solution

    |

  7. If the sum of the roots of aquadratic equation is 6 and their product...

    Text Solution

    |

  8. If alpha and beta are the roots of the equation 3x^(2)+8x+2=0 then ((1...

    Text Solution

    |

  9. The roots of the equation ax^(2)+bx+c=0 will be reciprocal of each oth...

    Text Solution

    |

  10. If the roots of the equation ax^(2)+bx+c=0 are equal then c=?

    Text Solution

    |

  11. If the equation 9x^(2)+6kx+4=0 has equal roots then k=?

    Text Solution

    |

  12. If the equation x^(2)+2(k+2)x+9k=0 has equal roots then k= ?

    Text Solution

    |

  13. If the equation 4x^(2)-3kx+1=0 has equal roots then k=?

    Text Solution

    |

  14. The roots of ax^(2)+bx+c=0, ane0 are real and unequal, if (b^(2)-4ac)

    Text Solution

    |

  15. In the equation ax^(2)+bx+c=0, it is given that D=(b^(2)-4ac)gt0. Then...

    Text Solution

    |

  16. The roots of the equation 2x^(2)-6x+7=0 are

    Text Solution

    |

  17. The roots of the equation 2x^(2)-6x+3=0 are

    Text Solution

    |

  18. If the roots of 5x^(2)-kx+1=0 are real and distinct then

    Text Solution

    |

  19. If the equation x^(2)+5kx+16=0 has no real roots then

    Text Solution

    |

  20. If the equation x^(2)-kx+1=0 has no real roots then

    Text Solution

    |