Home
Class 11
MATHS
Three points P(h, k), Q(dotx1, y1) and R...

Three points `P(h, k), Q(dotx_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

  • STATISTICS

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

    V PUBLICATION|Exercise QUESTION BANK|140 Videos

Similar Questions

Explore conceptually related problems

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

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

If the points A(3, 4), B(x_(1), y_(1))andC(x_(2), y_(2)) are such tha t both 3,x_(1),x_(2)and4,y_(1),y_(2) are in AP, then

Given that logy=tan^-1x . Show that (1+x^2)y_1=y .

Given that logy=tan^-1x . Show that (1+x^2)y_2+(2x-1)y_1=0

A line passes through (x_1,y_1) and (h,k). if the slope of the line is m, show that k - y_1 = m(h-x_1)

Find the distance between P (x_1,y_1) and Q (x_2,y_2) when PQ is parallel to the y-axis.

Find the distance between P (x_1,y_1) and Q (x_2,y_2) when PQ is parallel to the X-axis.

If y=e^(acos^-1x) , then show that (1-x^2)y_2-xy_1-a^2y=0

If y=sin^-1x , prove that (1-x^2)y_2-xy_1=0

V PUBLICATION-STRAIGHT LINES-QUESTIONBANK
  1. If the angle between two lines is pi/4 and slope of one of the lines i...

    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(dotx1, y1) and R(x2, y2) lie on a line. Show t...

    Text Solution

    |

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

    Text Solution

    |

  5. Draw a quadrilateral in the Cartesian plane, whose vertices are (-4,5)...

    Text Solution

    |

  6. The base of an equilateral triangle with side 2a lies along the y - ax...

    Text Solution

    |

  7. Find the distance between P(x1, y1) and Q(x2, y2) when : (i) P Q is pa...

    Text Solution

    |

  8. Find the point on the x-axis which equidistant from the points (7,6) a...

    Text Solution

    |

  9. Find the slope of a line, which passes through the origin, and the mid...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the slope of the line, which makes' angle of 30^(circ) with the p...

    Text Solution

    |

  12. Find the value of x for which the points (x,-1),(2,1)and(4,5) are coll...

    Text Solution

    |

  13. Without using distance formula, show that points (-2,-1),(4,0),(3 ,3) ...

    Text Solution

    |

  14. Find the angle between the positive x-axis and the line joining the po...

    Text Solution

    |

  15. The slope of a line is double of the slope of another line. If tangent...

    Text Solution

    |

  16. A line passes through (x1, y1) and (h, k) . If slope of the line is m,...

    Text Solution

    |

  17. If three points (h, 0),(a, b) and (0 , k) lie on a line. Show that a/h...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the equation of the line through (-2,3) with siope -4

    Text Solution

    |

  20. Find the equation of the line passing through the two points (1,-1) an...

    Text Solution

    |