MCQ
The circle ${x^2} + {y^2} - 3x - 4y + 2 = 0$ cuts $x$-axis at
  • A
    $(2,\,0),( - 3,\,0)$
  • B
    $(3,\,0),(4,\,0)$
  • C
    $(1,\,0),( - 1,\,0)$
  • $(1,\,0),(2,\,0)$

Answer

Correct option: D.
$(1,\,0),(2,\,0)$
d
(d) Given, equation of circle is ${x^2} + {y^2} - 3x - 4y + 2 = 0$ and it cuts the $x$-axis.

$\therefore $${x^2} + 0 - 3x + 2 = 0$ or ${x^2} - 3x + 2 = 0$ or $(x - 1)\,(x - 2) = 0$ or $x = 1,\,2.$

Therefore the points are $(1,0)$ and $(2, 0)$.

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