Home
Class 11
MATHS
If three lines whose equations are y =m1...

If three lines whose equations are `y =m_1 x+c_1, y=m_2 x+c_2` and `y=m_3 x+c_3` are concurrent, then show that `m_1(c_2-c_3)+m_2(c_3-c_1)+m_3(c_1-c_2)=0`

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos
  • TRIGNOMETRC FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|140 Videos

Similar Questions

Explore conceptually related problems

If three lines whose equations are y = m_1x + c_1,y = m_2x + c_2 and y= m_3x + c_3 are concurrent, then show that m_1(c_2-c_3) + m_2(c_3-c_2)+m_3(c_1-c_2) = 0

Find the differential equation satisfying y=c_1e^x+c_2e^-x ,c_1 and c_2 are arbitrary constants.

If the lines y=3x+1 and 2y=x+3 are equally inclined to the line y= mx +4 (1/2 lt m lt 3) then the values of m are

Prove that C_0C_2+C_1C_3+…+C_(n-2)C_n=^(2n)C_(n-2)

If x=sint and y=sinmt show that (1-x^2)y_2-xy_1+m^2y=0

If c lt 1 and the system of equations x + y - 1 = 0, 2x - y - c = 0 and -bx + 3by - c = 0 is consistent, then the possible real values of b are a) b in (-3,(3)/(4)) b) b in (-(3)/(2),4) c) b in (-(3)/(4),3) d)None of these

Prove that 2C_0+C_1+2C_2+C_3+2C_4+...=3.2^(n-1)

If the system of equations x - 2y +z = a , 2x + y - 2z = b, x +3y - 3z = c, has at least one solution, then a) a + b + c = 0 b) a - b + c = 0 c) -a + b + c = 0 d) a + b - c = 0

If y=mx+c is a tangent to the circle x^2+y^2=1 , show that c=+-sqrt(1+m^2)

V PUBLICATION-STRAIGHT LINES-QUESTIONBANK
  1. Find the area' of the triangle formed by the lines y-x=0, x+y=0 and x-...

    Text Solution

    |

  2. Find the value of p so that the three lines 3 x+y-2=0, p x+2 y-3=0. an...

    Text Solution

    |

  3. If three lines whose equations are y =m1 x+c1, y=m2 x+c2 and y=m3 x+c3...

    Text Solution

    |

  4. Find the equation of the lines through the point (3,2) whịch make an a...

    Text Solution

    |

  5. Find the equation of the line passing through the point of intersectio...

    Text Solution

    |

  6. In what ratio, the line joining (-1 , 1) and (5,7) is divided by the l...

    Text Solution

    |

  7. Find the distance of the line 4 x+7 y+5=0 from the point (1,2) along t...

    Text Solution

    |

  8. Consider the line x+3y-7=0 Find the image of the point (3,8) with re...

    Text Solution

    |

  9. A ray of light passing through the point (1,2) reflects on the x -axis...

    Text Solution

    |

  10. A person standing at the junction (crossing) of two straight paths rep...

    Text Solution

    |

  11. In the Figure, time and distance graph of a linear motion is given. Tw...

    Text Solution

    |

  12. If the slope of the .line joíning (2,5) and (3, lambda) is -2, find th...

    Text Solution

    |

  13. Find the slope of the line passing through the points (1,6) and (-4,2)...

    Text Solution

    |

  14. Without using the pythagoras theorem, show that the points (4,4),(3,5)...

    Text Solution

    |

  15. If the medians from A and B of the triangle with vertices A(0, b), B(0...

    Text Solution

    |

  16. Show that the points (a t1^2, 2 a t1)(a t2^2, 2 a t2) and (a, 0) are c...

    Text Solution

    |

  17. Find the equation of the straight line which makes angle 30^(circ) wit...

    Text Solution

    |

  18. Find the equation of the line which makes intercepts - 4 and 5 on the ...

    Text Solution

    |

  19. Find the equation of the line for which p=5 and alpha=135^(circ). Also...

    Text Solution

    |

  20. Reduce the equation sqrt3 x+y-8=0 into normal form. Find the values of...

    Text Solution

    |