Home
Class 11
MATHS
By using the concept of equation of a li...

By using the concept of equation of a line, prove that the three points `(3, 0)`, `(-2, -2)`,and`(8, 2)` are collinear.

Text Solution

Verified by Experts

Equation of a line passing through the points `(3,0)` and `(-2,-2)` is
`y-0=(-2-0)/(-2-3)(x-3)`
`implies 5y=2x-6`
`implies 2x-5y-6=0`
for point `(8,2)`,
L.H.S `=16-10-6=0`= R.H.S
`:.` Point `(8,2)` also like on this line.
Therefore, given points are collinear.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos
  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

By using the concept of equation of a line, prove that the three points (3,0) and and are collinear.

Prove that the points A(2,0,-3), B (1,-2,-5) and C(3,2,-1) are collinear.

Using section formula prove that the three points (-4,6,10),(2,4,6) and (14,0,-2) are collinear

Prove that the points (0,3), (4,6) and (-8, -3) are collinear.

Prove that the points A(9,-1,4),B(-1,-3,2) and C(4,-2,3) are collinear.

Using section formula, prove that the points A(-2, 3, 5), B(1,2,3) and C(7,0, -1) are collinear.

Verify that the points (3,-2,4),(1,0,-2) and (-1,2,-8) are collinear

If the points A(-2,-5), B(2,-2) and C(8,a) are collinear , then a =

Using the section formula,prove that the three pints A(-2,3,5),B(1,2,3) and C(7,0,-1) are collinear.

Show that the three points A(-2;3;5);B(1;2;3) and C(7;0;-1) are collinear.

NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. P (a, b) is the midpoint of a line segment between axes. Show that eq...

    Text Solution

    |

  2. Point R (h, k) divides a line segment between the axes m the ratio 1:...

    Text Solution

    |

  3. By using the concept of equation of a line, prove that the three point...

    Text Solution

    |

  4. Reduce the following equations into slope intercept form and find th...

    Text Solution

    |

  5. Reduce the following equations into intercept form and find their int...

    Text Solution

    |

  6. Reduce the following equations into normal form. Find their perpendic...

    Text Solution

    |

  7. Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2).

    Text Solution

    |

  8. Find the points of the xaxis, whose distances from the line x/3+y/4=1...

    Text Solution

    |

  9. Find the distance between parallel lines (i) 15 x" "+" "8y" "" "34"...

    Text Solution

    |

  10. find equation of the line parallel to the line 3x - 4y + 2 = 0 and pas...

    Text Solution

    |

  11. Find equation of the line perpendicular to the line x" "" "7y" "+" "5"...

    Text Solution

    |

  12. Find angles between the lines sqrt(3)x+y=1and x+sqrt(3)y=1.

    Text Solution

    |

  13. The line through the points (h, 3) and (4, 1) intersects the line 7x-9...

    Text Solution

    |

  14. Prow that the line through the point (x1> y1) and parallel to the l...

    Text Solution

    |

  15. Two lines passing through the point (2, 3) intersects each other at a...

    Text Solution

    |

  16. Find the equation of the right bisector of the line segment joining th...

    Text Solution

    |

  17. Find the coordinates of the foot of perpendicular from the point (-1,3...

    Text Solution

    |

  18. The perpendicular from the origin to the line y=mx+c meets it at the p...

    Text Solution

    |

  19. If p and q are the lengths of perpendicular from the origin to the li...

    Text Solution

    |

  20. In the triangle ABC with vertices A (2, 3), B (4, 1) and C (1, 2), ...

    Text Solution

    |