Home
Class 12
MATHS
If (xi ,yi),i=1,2,3, are the vertice...

If `(x_i ,y_i),i=1,2,3,` are the vertices of an equilateral triangle such that `(x_1+2)^2+(y_1-3)^2=(x_2+2)^2+(y_2-3)^2=(x_3+2)^2+(y_3-3)^2,` then find the value of `(x_1+x_2+x_3)/(y_1+y_2+y_3)` .

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE PUBLICATION|Exercise All Questions|238 Videos

Similar Questions

Explore conceptually related problems

If (x+1, y-2)=(3,1), find the values of x and y.

If (x+y,y-2) = (3,1), find the values of x and y.

If A(x_1,y_1),B(x_2,y_2) and C(x_3,y_3) are the vertices of traingle ABC and x_(1)^(2)+y_(1)^(2)=x_(2)^(2)+y_(2)^(2)=x_3^(2)+y_(3)^(2) , then show that x_1 sin2A+x_2sin2B+x_3sin2C=y_1sin2A+y_2sin2B+y_3sin 2C=0 .

If (x+3+1, y-2/3)=(5/3, 1/3) , find the values of x and y.

If log ((x+y)/3)=1/2 (log x +log y) then find the value of x/y+y/x

If tan^-1(1/y)=-pi+cot^-1 y, where y=x^2-3x+2, then find the value of x

If (3x-5y)/(3x+5y)=1/2 find the value of (3x^2-5y^2)/(3x^2+5y^2)

If x(2+sqrt3)=y(2-sqrt3)=1 , then the value of 1/(x+1)+1/(y+1) is :

If x=2+3i and y=2-3i then find the values of : (x^(2)+xy+y^(2))/(x^(2)-xy+y^(2))

If x=2+3i and y=2-3i then find the values of (x^(3)-y^(3))/(x^(3)+y^(3))

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. In what ratio does x-axis divide the line segment joining (2, -3) and ...

    Text Solution

    |

  2. If (1,4) is the centroid of a triangle and the coordinates of its a...

    Text Solution

    |

  3. If (xi ,yi),i=1,2,3, are the vertices of an equilateral triangle s...

    Text Solution

    |

  4. A particle just clears a wall of height b at distance a and strikes...

    Text Solution

    |

  5. Find the locus of a point, so that the join of (-5,1) and (3,2) subten...

    Text Solution

    |

  6. The sum of the squares of the distances of a moving point from two ...

    Text Solution

    |

  7. A B is a variable line sliding between the coordinate axes in such ...

    Text Solution

    |

  8. A rod of length l slides with its ends on two perpendicular lines. ...

    Text Solution

    |

  9. Find the locus of the point (t^2-t+1,t^2+t+1),t in R.

    Text Solution

    |

  10. Find the locus of a point such that the sum of its distance from the...

    Text Solution

    |

  11. Two points P(a,0) and Q(-a,0) are given. R is a variable point on o...

    Text Solution

    |

  12. If the coordinates of a variable point P are (acostheta,bsintheta), wh...

    Text Solution

    |

  13. Find the locus of a point whose distance from (a, 0) is equal to it...

    Text Solution

    |

  14. The coordinates of the point A and B are (a,0) and (-a ,0), respecti...

    Text Solution

    |

  15. The locus of the foot of perpendicular drawn from origin to a variabl...

    Text Solution

    |

  16. A variable line through the point P(2,1) meets the axes at a an d b...

    Text Solution

    |

  17. If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...

    Text Solution

    |

  18. Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the ...

    Text Solution

    |

  19. Convert the following polar coordinates to its equivalent Cartesian ...

    Text Solution

    |

  20. Convert the following Cartesian coordinates to the corresponding po...

    Text Solution

    |