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Conic Sections — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsConic Sections1 Mark
MCQ
The equation $x^2+ y^2- 2x + 4y + 5 = 0$ represents:
  • ✓
    A point
  • B
    A pair of straight lines
  • C
    A circle of non zero radius
  • D
    None of these
✓

Answer

Correct option: A.
A point
$ x^2+y^2-2 x+4 y+5=0 $
$ (x-1)^2+(y+2)^2-5+5=0 $
$ \Rightarrow(x-1)^2+(y+2)^2=0 $
Since, radius is $0,$ its a point
Alternative method:
Here, $a = b = 1$
$\text{r}=\sqrt{1+4-5=0}$
a circle of radius $0.$
So, its a point.

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