Home
Class 11
MATHS
A line passes through (x1, y1) and (h,k)...

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)`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    JBD PUBLICATION|Exercise EXAMPLE|39 Videos

  • STATISTICS

    JBD PUBLICATION|Exercise EXAMPLE|11 Videos

  • TRIGNOMETRIC FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|67 Videos

Similar Questions

Explore conceptually related problems

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

If three points (h, 0), (a, b) and (0, k) lies on a line, show that a/h+b/k=1

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) .

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is

Prove that the line through the point (x_1,y_1) and parallel to the line Ax + By + C = 0 is A (x- x_1) + B (y -y_1) = 0.

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6.

If three points A(h,0), B(a, b) and C(0, k) lie on line, show that (a)/(h) +(b)/(k)=1 .

Prove that the line through the point (x_(1),y_(1)) and parallel to the line Ax+By+C=0 is A(x-x_(1)) +B(y-y_(1))=0 .

Find the equations of the straight line passing through the point (2, 3, -1) and is perpendicular to the lines : (x-2)/2=(y+1)/1=(z-3)/3 and (x-3)/1=(y+2)/1=(z-1)/1 .

JBD PUBLICATION-STRAIGHT LINES-EXAMPLE
  1. Find slope of the line that makes angle (2pi)/3 with the positive dire...

    Text Solution

    |

  2. Find the angle between x-axis and the line joining the points (3,-1) a...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the value of k for which the line (k-3)x -(4-k^(2))y+k^(2)-7k+6...

    Text Solution

    |

  5. Find the value of k for which the line (k-3)x -(4-k^(2))y+k^(2)-7k+6...

    Text Solution

    |

  6. Find the values of k for which the line (k-3)x-(4-k^2)y+k^2-7k+6=0 is ...

    Text Solution

    |

  7. Find the equation of the straight line which is parallel to the line 2...

    Text Solution

    |

  8. Find the equation of the straight line which is parallel to the line 2...

    Text Solution

    |

  9. Find the equation of the line which satisfy the given conditions. Pas...

    Text Solution

    |

  10. Find the equation of a line that passes through the point (3,-2) and c...

    Text Solution

    |

  11. Reduce the following equations into slope intercept form and find thei...

    Text Solution

    |

  12. Reduce the following equations into slope-intercept form and find thei...

    Text Solution

    |

  13. Reduce the following equations into intercept form and find their inte...

    Text Solution

    |

  14. Reduce the following equations into intercept form and find their inte...

    Text Solution

    |

  15. Prove that the line through the point (x(1),y(1)) and parallel to the ...

    Text Solution

    |

  16. Find the equation of a line through the point (-2,3) and parallel to t...

    Text Solution

    |

  17. Find the equation of the line through point (5,-2) and perpendicular t...

    Text Solution

    |

  18. Find the equation of line perpendicular to x - 2y +3=0 and passing thr...

    Text Solution

    |

  19. Without using the pythagorus, show that the points (4, 4), (3, 5) and ...

    Text Solution

    |

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

    Text Solution

    |