Home
Class 9
MATHS
If (a+b+c)(a-b+c)=a^2+b^2+c^2 then show ...

If `(a+b+c)(a-b+c)=a^2+b^2+c^2` then show that a,b,c are in continued proportion.

Promotional Banner

Topper's Solved these Questions

  • RATIO AND PROPORATION

    CHETANA PUBLICATION|Exercise Exercise|66 Videos
  • POLYNOMIALS

    CHETANA PUBLICATION|Exercise Exercise|80 Videos
  • REAL NUMBERS

    CHETANA PUBLICATION|Exercise Exercise|59 Videos

Similar Questions

Explore conceptually related problems

a,b,c are in continued proportion.If a=3 and c=27 then find b.

If a/b=b/c and a,b,c>0 then show that, (a+b+c)(b-c)=ab-c^2

a, b, c are in continued proportion. If a =3and c = 27 then find b.

If a/b=b/c and a,b,c>0 then show that, (a^2+b^2)/(ab)=(a+c)/b

Solve the following: If frac{sinA}{sinC} = frac{sin(A-B)}{sin(B-C)} , then show that a^2, b^2, c^2 are in A.P.

In /_\ABC if acos^2(frac{C}{2})+c cos^2(frac{A}{2}) = frac{3b}{2} then prove that a,b,c are in A.P.

If a, b, c are in A.P. and a^2 , b^2 , c^2 are in H.P then

In A B C ,= if (a+b+c)(a-b+c)=3a c , then find /_Bdot

If a/b=b/c and a,b,c>0 then show that, (a^2+b^2)(b^2+c^2)=(ab+bc)^2

CHETANA PUBLICATION-RATIO AND PROPORATION-Exercise
  1. If (a+b+c)(a-b+c)=a^2+b^2+c^2 then show that a,b,c are in continued pr...

    Text Solution

    |

  2. If 6:5=y:20 then what will be the value of y?

    Text Solution

    |

  3. What is the ratio of 1nm to cm?

    Text Solution

    |

  4. The ages of Jatin, Nitin, and Mohasin are 16, 24 and 36 years respecti...

    Text Solution

    |

  5. 24 bananas were distributed between Shubham and Anil in the ratio 3:5 ...

    Text Solution

    |

  6. What is the mean proportional of 4 and 25?

    Text Solution

    |

  7. The ratio of 161 to 115 in the simplest form is …….

    Text Solution

    |

  8. 5/4……sqrt(3)/sqrt(2)

    Text Solution

    |

  9. If p/q=6/5 then the value of (p^3-q^3)/q^3=……

    Text Solution

    |

  10. If 4.8,6.0,x and 8.5 are in proportion then the value of x is………

    Text Solution

    |

  11. The ratio of rs. 11 and rs. 15 and paise 40 is ……..

    Text Solution

    |

  12. the adjacent sides of a rectangle are in the ratio 5:3 and the area of...

    Text Solution

    |

  13. The mean proportional of 8 and 32 is …………

    Text Solution

    |

  14. 63/60=…..%

    Text Solution

    |

  15. The ratio fo 63, 36 in the least form is …………

    Text Solution

    |

  16. the ratio of two numberss is 3:5 and their sum 360 the numbers are…………

    Text Solution

    |

  17. if p/q=6/5 then the value of (a-b)/b is …………

    Text Solution

    |

  18. the mean proportional of 6 and 24 is…………

    Text Solution

    |

  19. If p/q=6/5 then the value of (3p+4q)/(3p-4q) is………….

    Text Solution

    |

  20. what number should be added to each term of the ratio 2:5 so that is m...

    Text Solution

    |

  21. The mean proportional of ak and ak^3 is………..

    Text Solution

    |