Home
Class 14
MATHS
If the roots of the equation a(b - c)x^2...

If the roots of the equation `a(b - c)x^2 + b(c- a)x+ c(a-b)=0` are equal, then which of the following is true?
यदि समीकरण a(b - c)x^2 + b(c- a)x+ c(a-b)=0` के मूल बराबर है, तो निम्नलिखित में से कौन सा सही है?

A

`b = (a + c)//ac`

B

`2//b = (1//a) + (1//c)`

C

`2b = (1//a) + (1//c)`

D

`abc = ab + bc + ca`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2017 TIER-II PAPER(8)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2018 TIER-II PAPER(4)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0 are equal then a,b,c will be in

If the roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0 are equal,then prove that 2b=a+c

If the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are equal,show that 2/b=1/a+1/c.

If the roots of the equation (x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0 are equal then

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

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are,when ab+bc+ca=0

CHAMPION PUBLICATION-2017 TIER-II PAPER(9)-EXERCISE
  1. If a+a^2+a^3-1=0, then what is the value of a^3 + (1//a)? यदि a+a^2+...

    Text Solution

    |

  2. If a-(1//a) = b, b-(1//b) =c and c - (1//c) = a, then what is the valu...

    Text Solution

    |

  3. If the roots of the equation a(b - c)x^2 + b(c- a)x+ c(a-b)=0 are equa...

    Text Solution

    |

  4. If [sqrt((a^2+b^2+ab))]+[sqrt((a^2+b^2-ab))] =1, then what is the valu...

    Text Solution

    |

  5. If 3x+ 4y-11 = 18 and 8x- 6y +12 = 6, then what is the value of 5x- 3y...

    Text Solution

    |

  6. If a +b+c=7//12,3a-4b+5c= 3//4 and 7a-11b- 13c= 7//12, then what is th...

    Text Solution

    |

  7. In the given figure, PQ = PS = SR and angleQPS=40^(@). Then what is th...

    Text Solution

    |

  8. In the triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR ...

    Text Solution

    |

  9. In the figure, AQ=4sqrt(2)cm,QC=6sqrt(2)cmandAB=20cm. If PQ is paralle...

    Text Solution

    |

  10. In the given figure. If AD = 12 cm, AE = 8 cm and EC = 14 cm, then wha...

    Text Solution

    |

  11. Two circles are having radii 9 cm and 12 cm. The distance between thei...

    Text Solution

    |

  12. Two circles touch each other at point X. Two common tangents of the ci...

    Text Solution

    |

  13. Two circles touch each other at point X, A common tangent touch them a...

    Text Solution

    |

  14. There are 8 equidistant points A, B, C, D, E, F, G and H (in same orde...

    Text Solution

    |

  15. In the given figure, O is the centre of the circle and angle QOR= 50^@...

    Text Solution

    |

  16. There circle C1,C2 and C3 with radii r1,r2 and r3 (where r1 <r2 <r3) a...

    Text Solution

    |

  17. An equilateral triangle of area 300cm^(2) is cut from its three vertic...

    Text Solution

    |

  18. In the given figure, PQR is an equilateral triangle with side as 12cm....

    Text Solution

    |

  19. ABCD is a rectangle P is point on the side AB as shown in the given fi...

    Text Solution

    |

  20. In the given figure PQRSTU is a regular hexagon of side 12 cm. what is...

    Text Solution

    |