- A4
- B2
- C3
- D1
Step-by-Step Solution
Set the squared distances equal: → . Expand: → → → .
Answer: B) 2
Find the value of so that the point , 2) is equidistant from (2, −2) and (−2, 2).
Class 10Coordinate GeometryGeometry — Coordinates
Key idea: Distance formula
**Distance** between two points P₁, ₁) and Q₂, ₂):
**PQ = **
This is just the Pythagoras theorem applied to the right triangle formed with horizontal and vertical legs.
**Example**: Distance between (3, 4) and (7, 1).
= .
**Special distance from origin**: distance of from (0, 0) is .
**PQ = **
This is just the Pythagoras theorem applied to the right triangle formed with horizontal and vertical legs.
**Example**: Distance between (3, 4) and (7, 1).
= .
**Special distance from origin**: distance of from (0, 0) is .
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