The circle x2 + y2 - 3x - 4y + 2 = 0 cuts x-axis: - Vidyadip

MCQ

The circle x²+ y² - 3x - 4y + 2 = 0 cuts x-axis:

A
(2, 0), (-3, 0)
B
(3, 0), (4, 0)
C
(1, 0), (-1, 0)
D
(1, 0), (2, 0)

✓

Answer

(1, 0), (2, 0)

Solution:

x²+ y²- 3x - 4y + 2 = 0

x-axis will be cut when y = 0

put y=0

x² - 3x + 2 = 0

(x - 2) (x - 1) = 0

x = 1, 2

points (1, 0), (2, 0)

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