Home
Class 11
MATHS
Find the coordinates of the foot of perp...

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

Text Solution

Verified by Experts

The correct Answer is:
`((68)/(25),-(49)/(25))`.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Miscelloneous Exercise|24 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise|10 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10.2|20 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

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

(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.

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 perpendicular from the point (2,6,3) to the line x/2=(y-1)/2=(z-2)/3 . Also find the equation of this perpendicular.

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

Find the coordinates of the foot of the perpendicular drawn from the point (1,2,3) to the line.(x-6)/(3)=(y-7)/(2)=(z-7)/(-2) Also,find the length of the perpendicular from the given point to the line vector

Find the coordinates of the foot of the perpendicular from the point (1, 1, 2) to the plane 2x-2y+4z+5=0. Also the find the length of the perpendicular.

MODERN PUBLICATION-STRAIGHT LINES -Exercise 10.3
  1. Reduce the following equations into slope-intercept form and find thei...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If p and q are the lengths of perpendiculars from the origin to the l...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |