Question

Circle x² + y² – 4x = 0 touches ______.

विकल्प

• Y-axis at the origin

• X-axis at the origin

• X-axis at the point (3, 0)

• Y-axis at the point (0, 2)

Answer 1

Circle x² + y² – 4x = 0 touches Y-axis at the origin.

Explanation:

Centre is (2, 0) and radius = ${\displaystyle \sqrt{{(-2)}^2+0-0}}$ = 2

Hence, circle touches Y-axis at the origin.