Home
Class 11
MATHS
If three points (h,0), (a,b) and (0,k) l...

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

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|60 Videos

  • TRIGONOMETRIC FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|192 Videos

Similar Questions

Explore conceptually related problems

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)

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)

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)

Consider the points A(0,0,2) and B(3,0,1) . Find the direction cosines of the line passing through the given points.

Consider the points A (4,3), B (8,-3) and C (0,9) Prove that A, B, C can't lie on a circle

Consider the points A(2,2,-1), B(3,4,2) and C(7,0,6). Find the vector and Cartesian equation of the plane passing these three points. Find the angle between the above plane and the line barr=(i+2j-k)+lambda(i-j+k)

The line through the points (h, 3) and (4,1) intersects the line 7 x-9 y-19=0 at right angle. Find the value of h .

The line through the points (h,3) and (4,1) intersects the line 7x - 9y - 19 = 0 at right angle. find the value of h.

A N EXCEL PUBLICATION-STRAIGHT LINES-QUESTION BANK
  1. The slope of a line is double of the slope of another line. if tangent...

    Text Solution

    |

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

    Text Solution

    |

  3. If three points (h,0), (a,b) and (0,k) lie on a line, show that a/h + ...

    Text Solution

    |

  4. Consider the following population and year hraph (sec figure). find th...

    Text Solution

    |

  5. Find the slope of the line joining (x,- 1) and (2,1)

    Text Solution

    |

  6. Find the slope of the line joining (2,1) and (4,5)

    Text Solution

    |

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

    Text Solution

    |

  8. Consider the line passing through the points (3,4) and (x,5) Find the ...

    Text Solution

    |

  9. Consider the line passing through the points (3,4) and (x,5) if the li...

    Text Solution

    |

  10. Find the slope of the line through (3,y) and (2,7)

    Text Solution

    |

  11. Find the slope of the line passing through (-1,4) and (0,6)

    Text Solution

    |

  12. If the lines passing through (3,y) and (2,7) are parallel to the line...

    Text Solution

    |

  13. If the lines passing through (3,y) and (2,7) are perpendicular find th...

    Text Solution

    |

  14. Consider the triangle with vertices A (4,4),B (3,5) and C (-1,-1) Usin...

    Text Solution

    |

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

    Text Solution

    |

  16. Consider a quadrilateral whose vertices are A (- 4,2),B (2,6), C (8,5)...

    Text Solution

    |

  17. Consider a quadrilateral whose vertices are A (- 4,2),B (2,6), C (8,5)...

    Text Solution

    |

  18. Find the equation of a line that has y-intercept 5 and is perpendicul...

    Text Solution

    |

  19. Find the equation of the perpendicular bisector of the line segment jo...

    Text Solution

    |

  20. In what ratio is the line joining the points (4, -5) and (2,3) divided...

    Text Solution

    |