If a circle whose centre is (2, 3) touches the line 4x + 3y − 7 = 0, then the radius of the circle is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 2 unit.
We know,
Distance from a point (x1, y1) to a line ax + by + c = 0 = |ax1 + by1 + c|/√(a2 + b2)
According to the question;
We have, x1 = 2 and y1 = 3
⇒ Distance = |4 × 2 + 3 × 3 - 7|/√(42 + 32)
⇒ Distance = 10/5 = 2 unit