Home
Class 11
MATHS
(i) Find the co-ordinates of the foot of...

`(i)` Find the co-ordinates of the foot of perpendicular from point `(-1,3)` to the line `3x-4y=16`.
`(ii)` The co-ordinates of the foot of perpendicular drawn from origin to a line are `(2,3)`. Find the equation of the line.

Text Solution

Verified by Experts

The correct Answer is:
`(i) ((68)/(25),(-49)/(25))` `(ii) 2x+3y=13`
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

Find the coordinates of the foot of perpendicular from a point (-1, 3) to the line 3x-4y-16=0

Find the coordinates of the foot of perpendicular from the point (-1,3) to the line 3x-4y-16=0

Find the coordinates of the foot of perpendicular from the point (-1,3) to the line 3x-4y-16=0 .

The co-ordiantes of the foot of perpendicular from origin to a plane are (3,-2,1) . Find the equation of the plane.

Find the coordinates of the foot o the perpendicular from the point (-1, 3) to the line 3x-4y-16=0

Find the coordinates of the foot of the perpendicular from the point (-1, 3) to the line 3x-4y-16=0 .

Find the co-ordinates of the foot of perpendicular drawn from the point (3,-3) to the line x-2y=4 .

Find the coordinates of the foot of the perpendicular drawn from the point (2,3) to the line y=3x+4

The coordinates of the foot of the perpendicular from (2,3) to the line 3x+4y - 6 = 0 are

The foot of the perpendicular drawn from the origin to a plane is (2, -3, -4). Find the equation of the plane.

NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. Find the length of perpendicular from origin to the line x+7y+4sqrt(2)...

    Text Solution

    |

  2. Find the distance between the parallel lines 5x+12y-20=0 and 5x+12y+6=...

    Text Solution

    |

  3. (i) Find the co-ordinates of the foot of perpendicular from point (-1,...

    Text Solution

    |

  4. Find the length of perpendicular from the point (a cos alpha, a sin al...

    Text Solution

    |

  5. Find the distance between the parallel lines x+4sqrt(3)y+10=0 and x+4s...

    Text Solution

    |

  6. Find the relation between a and b if the lines 3x-by+5=0 and ax+y=2 pa...

    Text Solution

    |

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

    Text Solution

    |

  8. Show that the distance between the parallel lines ax+by+c=0 and k(ax+b...

    Text Solution

    |

  9. (i) If the length of perpendicular from origin to the line ax+by+a+b=0...

    Text Solution

    |

  10. The equations of sides AB, BC and AC of DeltaABC are respectively y=x,...

    Text Solution

    |

  11. If p is the length of perpendicular from the origin to the line whose...

    Text Solution

    |

  12. Find the coordinates of the incentre and centroid of the triangle whos...

    Text Solution

    |

  13. Find the co-ordinates of the circumcentre of a triangle whose vertices...

    Text Solution

    |

  14. Find the co-ordinates of the orthocentre of a triangle whose vertices ...

    Text Solution

    |

  15. The equation of one diagonal of a square is 2x+y=6 and its one vertex ...

    Text Solution

    |

  16. The co-ordinates of the vertex of an equilateral triangle are (2,-1) a...

    Text Solution

    |

  17. A ray of light is sent along the line x-2y-3=0 upon reaching the line ...

    Text Solution

    |

  18. show that the equation of the straight line through the origin making ...

    Text Solution

    |

  19. Show that the straight lines given by (2+k)x+(1+k)y=5+7k for different...

    Text Solution

    |

  20. Find the equation of a line passing through the point of intersection ...

    Text Solution

    |