Skip to content
Philoid
Browse Saved
Back to chapter
Maths
14. Co-ordinate Geometry
Home · Class 10 · Maths · Ref. Book · 14. Co-ordinate Geometry
Prev
Next
Q46 of 149 Page 14

If the point P (x, 3) is equidistant from the points A (7,-1) and B (6, 8), find the value of x and find the distance AP.

Coordinates are A (7,-1) and B (6, 8)


The point P (x, 3) is equidistant.


Using distance formula =


⇒ PA = PB



On squaring both sides, we get


=


=


=


AP = = = units


More from this chapter

All 149 →
44

If a point A (0, 2) is equidistant from the points B (3, p) and C (p, 5), then find the value of p.

45

Prove that the points (7, 10), (-2, 5) and (3, -4) are the vertices of an isosceles right triangle.

47

If A (3, y) is equidistant from points P (8, -3) and Q (7,6) , find the value of y and find the distance AQ.

48

If (0, - 3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.

Questions · 149
14. Co-ordinate Geometry
1 2 3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved