Home
Class 11
MATHS
Three points P(h,k), Q(x(1) , y(1) ) and...

Three points `P(h,k), Q(x_(1) , y_(1) ) and R(x_(2) , y_(2) )` lie on a line. Show that, `(h-x_(1) ) (y_(2) -y_(1) ) = (k-y_(1) ) ( x_(2) - x_(1) )`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|12 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|9 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

A line passes thorough (x_(1) , y_(1) ) and (h, k). If slope of the line is m, show that, k-y_1 = m(h-x_1) .

If the points (x_1, y_1),(x_2,y_2), and (x_3, y_3) are collinear show that (y_2-y_3)/(x_2x_3)+(y_3-y_1)/(x_3x_1)+(y_1-y_2)/(x_1x_2)=0

If x=sint,y=sinKt then show that (1-x^(2))y_2-xy_(1)+K^(2)y=0 .

If y= (tan^(-1) x)^(2) show that (x^(2) + 1)^(2) y_(2) + 2x (x^(2) + 1)y_(1) = 2

An equilateral triangle has each side equal to a. If the coordinates of its vertices are (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) then the square of the determinant |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)| equals

If y= (x + sqrt(x^(2) + 1))^(m) then prove that, (x^(2)+1) y_(2) + xy_(1)= m^(2)y

If y= sin (pt), x= sin t , then prove that (1- x^(2))y_(2)-xy_(1)+ p^(2)y= 0

Find the distance between P(x_(1), y_(1) ) and Q(x_(2) , y_(2) ) when (i) PQ is parallel to the Y-axis (ii) PQ is parallel to the X- axis.

y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

KUMAR PRAKASHAN-STRAIGHT LINES-Textbook Illustrations for Practice Work
  1. If the angle between two lines is (pi)/(4) and slope of one of the lin...

    Text Solution

    |

  2. Line through the points (-2,6) and (4,8) is perpendicular to the line ...

    Text Solution

    |

  3. Three points P(h,k), Q(x(1) , y(1) ) and R(x(2) , y(2) ) lie on a line...

    Text Solution

    |

  4. In Figure, time and distance graph of a linear motion is given. Two ...

    Text Solution

    |

  5. Find the equations of the lines parallel to axes and passing through(-...

    Text Solution

    |

  6. Find the equation of the line through (-2,3) with slope -4.

    Text Solution

    |

  7. Write the equation of the line through the points (1,-1) and (3,5).

    Text Solution

    |

  8. Write the equation of the lines for which tan theta = (1)/(2), where t...

    Text Solution

    |

  9. Write the equation of the lines for which tan theta = (1)/(2), where t...

    Text Solution

    |

  10. Find the equation of the line, which makes intercepts -3 and 2 on the ...

    Text Solution

    |

  11. Find the equation of the line whose perpendicular distance from the or...

    Text Solution

    |

  12. The fahrenheit temperature F and absolute temperature K satisfy the li...

    Text Solution

    |

  13. Equation of a line is 3x-4y+ 10 =0. Find its (i) slope,

    Text Solution

    |

  14. Equation of a line is 3x-4y+ 10 =0. Find its (ii) x -intercepts and ...

    Text Solution

    |

  15. Reduce the equation sqrt(3) x + y- 8=0 into normal form. Find the valu...

    Text Solution

    |

  16. Find the angle between the lines y- sqrt(3) x - 5 = 0 and sqrt(3) y - ...

    Text Solution

    |

  17. Show that two lines a(1) x + b(14) y + c(1) = 0 and a(2) x + b(2) y + ...

    Text Solution

    |

  18. Show that two lines a(1) x + b(14) y + c(1) = 0 and a(2) x + b(2) y + ...

    Text Solution

    |

  19. Find the equation of a line perpendicular to the line x-2y+ 3=0 and pa...

    Text Solution

    |

  20. Find the distance of the point (3, -5) from the line 3x - 4y - 26 = 0.

    Text Solution

    |