SSC CHSL 2020 PYQ — Question 58

SSC CHSL - 17th October 2020 - Shift 2 • Quantitative Aptitude • Q58

The equation of circle with centre (1, -2) and radius 4 cm is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e x2 + y2 – 2x + 4y = 11

Understanding

Tricks

Application

Formula for center of circle

⇒ (x - a)2 + (y - b)2 = r2

So

⇒ (x - 1)2 + (y + 2)2 = 42

⇒ x2 + 1 - 2x + y2 + 4 + 4y = 16

⇒ x2 - 2x + y2 + 4y = 16 - 5

⇒ x2 - 2x + y2 + 4y = 11

Hence

x2 + y2 – 2x + 4y = 11