Home
Class 10
MATHS
If (5a-3b)/a= (4a+b-2c)/(a+4b-2c) = (a+2...

If `(5a-3b)/a= (4a+b-2c)/(a+4b-2c) = (a+2b-3c)/(4a-4c)`, then show that 6a=4b=3c.

Promotional Banner

Topper's Solved these Questions

  • KANACHI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • Partnership Business

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

If b/(a+b)= (a+c-b)/(b+c-a)=(a+b+c)/(2a+b+2c) where a+b-c !=0 , show that a/2=b/3=c/4 .

If b/(a+b) = (a+c-b)/(b+c-a) = (a+b+c)/(2a+b+2c)("where " a + b + c ne 0) , then prove that a/2 = b/3 = c/4 .

If a^(4) + b^(4) + c^(4) + a^(2)b^(2) = 2c^(2)(a^(2) + b^(2)) then show that, C=60^(@) or 120^(@)

If 2a = 3b = 4c then prove that a : b : c = 6:4:3.

If a/2 = b/3 = c/4 = 2a-3b+4c/p, then find p .

(2a-3b)^(3)+(4c-2a)^(3)+(3b-4c)^(3)

Add a(2a+b-3c) and 4a(2c-a)

If a/2 = b/3 = c/4 = (2a - 3b + 4c)/p , then find the value of P .

If a/2=b/3=c/5=(3a-5b+4c)/(K) then find the value of K.

If a^4+b^4+c^4+a^2b^2=2c^2(a^2+b^2) ,, then show that angleC=60^@or120^@

UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. If (x^3+3xy^2)/(y^3+3x^2y)= 63/62 show that x:y = 3:2.

    Text Solution

    |

  2. If (a+c):(b+c) = (a/b+2):(b/a+2) then show that (a-c):(b-c) = a^2:b^2.

    Text Solution

    |

  3. If (5a-3b)/a= (4a+b-2c)/(a+4b-2c) = (a+2b-3c)/(4a-4c), then show that ...

    Text Solution

    |

  4. If (x+y+z)(y+z-x)(z+x-y)(x+y-z) prop x^2y^2 then show that either x^2+...

    Text Solution

    |

  5. If 1/x-1/y prop 1/(y-x) then show that x/y is constant.

    Text Solution

    |

  6. Simplify: 1/sqrt(11-2sqrt(30))-3/(sqrt7-2sqrt(10))-4/(sqrt(8+4sqrt3))

    Text Solution

    |

  7. Find the square roots of- 8+2sqrt2-2sqrt5-2sqrt(10)

    Text Solution

    |

  8. Find the square roots of- 1+x^2+ sqrt(1+x^2+x^4)

    Text Solution

    |

  9. If 2x = sqrta+1/sqrta. Show that sqrt(x^2-1)/(x-sqrt(x^2-1))(a-1)

    Text Solution

    |

  10. If (x+sqrt(x^2-bc))(y+sqrt(y^2-ca))(z+sqrt(z^2-ab)) = (x-sqrt(x^2-bc...

    Text Solution

    |

  11. If x = (sqrt(a^2+b^2)+sqrt(a^2-b^2))/(sqrt(a^2+b^2)-sqrt(a^2-b^2)) sho...

    Text Solution

    |

  12. If x>y prove that sqrt(y+sqrt(2xy-x^2))+sqrt(y-sqrt(2xy-x^2)) = sqrt(...

    Text Solution

    |

  13. Solve for x, when sqrt(2x^2 + 9) + sqrt(2x^2 - 9) = 9 + 3sqrt7

    Text Solution

    |

  14. Solve: (a+x)^(2//3)+2(a-x)^(2//3) = 3(a^2-x^2)^(1//3)

    Text Solution

    |

  15. Find the area of a sector of a circle with radius 6 cm if angle of the...

    Text Solution

    |

  16. If x prop y+z , y propz+x and z prop x+y, and the constant of variat...

    Text Solution

    |

  17. If x,y,z be variable quantities such that (x+y+z) is constant and (z+x...

    Text Solution

    |

  18. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

    Text Solution

    |

  19. The radii of two circles are 8 cm and 6 cm respectively. Find the diam...

    Text Solution

    |

  20. If ax+by prop sqrt(xy), then show that (ax)^2+(by)^2 prop xy,

    Text Solution

    |