Home
Class 10
MATHS
If ay - bx/c = cx - az/b = bz - cy/a, th...

If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    UNITED BOOK HOUSE|Exercise Exercise |53 Videos

  • RAMAKRISHNA MISSION VIDYALAYA, NARENDRAPUR

    UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

If (y+z-x)/(b+c-a) = (z+x-y)/(c+a-b) = (x+y -z)/(a + b - c)", then prove that "x/a = y/b = z/c .

If x : a = y : b = z : c , then prove that x^(3)/a^(2) + y^(3)/b^(2) + z^(3)/c^(2) = ((x+y+z)^(3))/((a+b+c)^(2))

If x = cy + bz, y = az + cx , z =bx + ay, then prove that x^2/(1-a^2)= y^2/(1-b^2)

If (bz + cy)/a = (cx +az)/b = (ay+bx)/c , then prove that x/(a(b^(2) + c^(2) - a^(2))) = y/(b(c^(2) + a^(2) - b^(2))) = z/(c(a^(2)+b^(2)-c^(2))) .

If b+c-a/x+y-x = c+a-b/c+x-y = a+b_c/x+y-z, then prove that a/x = b/y = c/z.

If x : a = y : b = z : c , then prove that (a^(2) + b^(2) + c^(2))(x^(2) + y^(2) + z^(2)) = (ax + by + cz)^(2)

If x = cy+bz, y =az+cx, z = bx+ay then prove that x^2/(1-a^2)=y^2/(1-b^2)=z^2/(1-c^2) .

If x^a=y^b=z^c " and "y^3=zx , then prove that b(c+a)=3ca .

If x/a = y/b = z/c , then show that x^(3)/a^(3) + y^(3)/b^(3) + z^(3)/c^(3) = 3 ((x+y+z)/(a+b+c))^(3) .

If a^(x) = b^(y) = c^(z) and a, b, c, are in G.P., prove that x, y, z are in H.P.

UNITED BOOK HOUSE-QUESTION PAPER 2020-Exercise
  1. Three friends invested ₹ 1,20,000, ₹ 1.50,000 and ₹ 1,10,000 respectiv...

    Text Solution

    |

  2. Answer any one question : Solve 1/x -3 - 1/x + 5 = 1/6.

    Text Solution

    |

  3. The product of two consecutive positive odd numbers is 143 Construct t...

    Text Solution

    |

  4. Answer any one question : x = 2 + sqrt3 and x + y = 4, then find the s...

    Text Solution

    |

  5. If a prop b and b prop c, then prove that a^3 + b^3 + c^3 prop 3abc.

    Text Solution

    |

  6. Answer any one question : If x : a = y : b = z : c, then show that (x^...

    Text Solution

    |

  7. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

    Text Solution

    |

  8. Answer any one question : Prove that angles in the same segment of a c...

    Text Solution

    |

  9. Prove that if two tangents are drawn to a circle from a point outside ...

    Text Solution

    |

  10. Answer any one question : Two circle intersect each other at the point...

    Text Solution

    |

  11. ABC is a right angled triangle whose angleA = 90^@, AD is perpendicula...

    Text Solution

    |

  12. Draw the mean proportional of line segments of lengths 4 cm and 3 cm.

    Text Solution

    |

  13. Draw a circle of radius 3 cm. Construct a tangent to the circle at a p...

    Text Solution

    |

  14. Answer any two questions : If sin 17^@ = x/y, show that sec 17^@ - sin...

    Text Solution

    |

  15. If the sum of two angles is 135^@ and their difference is Pi/2, then t...

    Text Solution

    |

  16. The length of outer and inner radii of a hollow right circular pipe ar...

    Text Solution

    |

  17. A hemispherical bowl with radius of 9 cm is completely filled with wat...

    Text Solution

    |

  18. The diameter of the base of a right circular cone is 21 metres and hei...

    Text Solution

    |

  19. Find the median of given data :

    Text Solution

    |

  20. Find the mode of data from the following frequency distribution table ...

    Text Solution

    |