Home
Class 11
MATHS
Find the nearest point on the line 2x+y=...

Find the nearest point on the line `2x+y=5` from the origin.

Text Solution

Verified by Experts

The correct Answer is:
Hence the nearest point on the line from the origin is (2, 1).
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART-III|10 Videos
  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos
  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos
  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART - III|17 Videos
  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Find the nearest point on the line x - 2y=5 from the origin.

Find the nearest point on the line x - 2y- 5 from the origin.

Find the nearest point on the line 3x+4y=2 from the origin.

Find the nearest point on the line 3x+y=10 from the origin is:

Find the minimum distance of any point on the line 3x+4y-10=0 from the origin using polar coordinates.

Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x - y = 0 .

Find the maximum distance of any point on the curve x^2+2y^2+2x y=1 from the origin.

Find the points on the line x + y = 5 , that lie at a distance 2 units from the line 4x - 3y - 12 = 0 .

Find the points on the line x + y = 5 , that lie at a distance 2 units from the line 4x + 3y - 12 = 0 .