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

    NCERT TAMIL|Exercise Miscellaneous Exercise on Chapter 10|24 Videos

  • STRAIGHT LINES

    NCERT TAMIL|Exercise EXERCISE 10.2|20 Videos

  • STATISTICS

    NCERT TAMIL|Exercise Miscellaneous Exercise On Chapter 15|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXAMPLES|10 Videos

Similar Questions

Explore conceptually related problems

The foot of the perpendicular from the point (3,4) on the line 3x – 4y + 5 = 0 is

Find the coordinates of the foot of the perpendicular drawn from the point P(1,-2) on the line y = 2x +1. Also, find the image of P in the line.

Find the coordinates of the foot of the perpendicular P from the origin to the plane 2x-3y+4z-6=0

Find the length of the perpendicular and the coordinates of the foot of the perpendicul from (-10,-2) to the line x+y -2=0

Find the length of the perpendicular and the co-ordinates of the foot of the perpendicular from (-10,-2) to the line x+y-2=0.

Find the coordinates of the foot of the perpendicular drawn from the point (-1,2,3) to the straight line vec(r)=(veci-4hatj+3hatk)+t(2hati+3hatj+hatk) . Also , find the shortest distance from the given point to the straight line.

The coordinates of the foot of the perpendicular from the point (3,-1,11) on the line x/2=(y-2)/3=(z-3)/4

NCERT TAMIL-STRAIGHT LINES-EXERCISE 10.3
  1. Reduce the following equations into slope - intercept form and find th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. What are the points on the y-axis whose distance from the linex/3 + y/...

    Text Solution

    |

  6. Find the distance between parallel lines i. 15x+8y-34= 0 and 15x+8y...

    Text Solution

    |

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

    Text Solution

    |

  8. Find equation of the line perpendicular to the line x - 7y + 5 = 0 an...

    Text Solution

    |

  9. Find angles between the lines sqrt3x + y = 1 " and " x + sqrt3y = 1.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |