Home
Class 10
MATHS
If a neb and a : b is the duplicate rat...

If `a neb` and a : b is the duplicate ratio of (a + c) and (b + c). show that a, c and b are in continued proportion.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MIXED PRACTICE

    ICSE|Exercise SET B|52 Videos

  • MEASURES OF CENTRAL TENDENCY (MEAN, MEDIAN, QUARTILES AND MODE)

    ICSE|Exercise EXERCISE 24 (E)|23 Videos

  • PROBABILITY

    ICSE|Exercise EXERCISE 25(C)|106 Videos

Similar Questions

Explore conceptually related problems

if a ne b and a : b is the duplicate ratio of a + c and b + c , prove that 'c' is the mean proportional between 'a' and 'b' .

If a,b,c and d are in proportion, then

If a + c = b e and 1/b + 1/d = e/c , Prove that : a,b,c and d are in proportion.

if a + c = mb and (1)/(b)+ (1)/(d) = (m)/(c) , prove that a , b , c and d are in proportion.

If a,b and c are in A.P, show that (b+c), (c+a) and (a+b) are also in A.P.

Show that points A (a , b + c) , B (b , c + a) , C (c , a + b) are collinear.

Show that points A (a , b + c) , B (b , c + a) , C (c , a + b) are collinear.

Show that points A (a , b + c) , B (b , c + a) , C (c , a + b) are collinear.

If (a+b)/(4)=4 and (a+c)/(c)=3 , what is the ratio of c to b?

ICSE-MIXED PRACTICE -SET B
  1. A trader bought a number of articles for Rs900, five were damaged and ...

    Text Solution

    |

  2. 1077 boxes of oranges were loaded in three trucks. While unloading the...

    Text Solution

    |

  3. If a neb and a : b is the duplicate ratio of (a + c) and (b + c). sho...

    Text Solution

    |

  4. If 16((a-x)/(a+x))^3=((a+x)/(a-x)) , show that : a = 3x .

    Text Solution

    |

  5. Solve for x , using the properties of proportionality (1+x+x^2)/(1-x+x...

    Text Solution

    |

  6. Show that 2x + 7 is a factor of 2x^3 + 7x^2 - 4x - 14 Hence, solve the...

    Text Solution

    |

  7. What number should be subtracted from 2x^3 - 5x^2 + 5x + 8 so that th...

    Text Solution

    |

  8. The expression 4x^(3)-bx^(2)+x-c leaves remainders 0 and 30 when divid...

    Text Solution

    |

  9. If for two matrices M and N, N =[(3,2),(2,-1)] and product MxxN = [-1...

    Text Solution

    |

  10. If the sum of first 20 terms of an A.P. is same as the sum of its firs...

    Text Solution

    |

  11. If a, b, c are in A.P., show that: (b + c), (c + a) and (a + b) are al...

    Text Solution

    |

  12. If a, b, c are in G.P. and also a, b, c are in A.P. Prove that: 1/a+...

    Text Solution

    |

  13. Evaluate : 9 + 99 + 999 + ........... upto n terms.

    Text Solution

    |

  14. Find the point on the y-axis whose distances from the points (3, 2) an...

    Text Solution

    |

  15. In what ratio does the point P (a, 2) divide the line segment joining ...

    Text Solution

    |

  16. A straight line makes on the co-ordinate axes positive intercepts whos...

    Text Solution

    |

  17. The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point ...

    Text Solution

    |

  18. The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point ...

    Text Solution

    |

  19. In a triangle PQR, L and M are two points on the base QR, such that an...

    Text Solution

    |

  20. In a triangle PQR, L and M are two points on the base QR, such that an...

    Text Solution

    |