Download App

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.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Conic Sections→Conic Sections — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $– 3x + 17 < – 13,$ then:
→
Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can we place the balls so that no box remains empty
→
The least integral value $\alpha $ of $x$ such that $\frac{{x - 5}}{{{x^2} + 5x - 14}} > 0$ , satisfies
→
The mean and the variance of five observations are $4$ and $5.20,$ respectively. If three of the observations are $3, 4$ and $4;$ then the absolute value of the difference of the other two observations, is
→
All face cards from pack of $52$ playing cards are removed. From remaining $40$ cards two are drawn randomly without replacement, then probability of drawing a pair (same denominations) is 
→
The ordinates of the points $P$ and $Q$ on the parabola with focus $(3,0)$ and directrix $x =-3$ are in the ratio $3: 1$. If $R (\alpha, \beta)$ is the point of intersection of the tangents to the parabola at $P$ and $Q$, then $\frac{\beta^2}{\alpha}$ is equal to $.............$.
→
Let $A=\{1,2,3, \ldots .7\}$ and let $P(1)$ denote the power set of $A$. If the number of functions $\mathrm{f}: \mathrm{A} \rightarrow \mathrm{P}(\mathrm{A})$ such that $a \in \mathrm{f}(\mathrm{a}), \forall \mathrm{a} \in \mathrm{A}$ is $\mathrm{m}^{\mathrm{n}}, \mathrm{m}$ and $\mathrm{n} \in \mathrm{N}$ and $\mathrm{m}$ is least, then $\mathrm{m}+\mathrm{n}$ is equal to__________.
→
The coordinates of the radical centre of the three circles ${x^2} + {y^2} - 4x - 2y + 6 = 0,{x^2} + {y^2} - 4x - 2y + 6 = 0,$${x^2} + {y^2} - 12x + 2y + 30 = 0$ are
→
The coordinates of the foot of the perpendicular from the point $(2, 3)$ on the line $x + y - 11 = 0$ are:
→
Two sets $A$ and $B$ are as under:

$A = \{ \left( {a,b} \right) \in R \times R:\left| {a - 5} \right| < 1 \,\,and\,\,\left| {b - 5} \right| < 1\} $; $B = \left\{ {\left( {a,b} \right) \in R \times R:4{{\left( {a - 6} \right)}^2} + 9{{\left( {b - 5} \right)}^2} \le 36} \right\}$ then : . . . . .

→