Download App

Conic Sections — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSConic Sections1 Mark
MCQ
The equation x2 + y2 - 2x + 4y + 5 = 0 represents:
  • A
    A point
  • B
    A pair of straight lines
  • C
    A circle of non zero radius
  • D
    None of these
✓

Answer

  1. A point

Solution:

x2 + y2 - 2x + 4y + 5 = 0

(x - 1)2 + (y + 2)2 -5 + 5 = 0

⇒ (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→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

If a coin is tossed till the first head appears, then what will be the sample space?

→

What can be said regarding a line if its slope is negative?

→
$ \lim_\limits{\text{x} \rightarrow \infty}\frac{2\sqrt{\text{x}}+3\sqrt[3]{\text{x}}+4\sqrt[4]{\text{x}}+...+\text{n}\sqrt[\text{n}]{\text{x}}}{\sqrt{(2\text{x}-3}+{\sqrt[3]{(2\text{x}-3)}+{\sqrt[4]{(2\text{x}-3)}+...+}{\sqrt[\text{n}]{(2\text{x}-3)}}}}$ is equal to:
→
Let a relation R be defined by R = ((4, 5), (1, 4), (4, 6), (7, 6), (3, 7)), then RORis equal to:
→
If f : Q → Q is defined as f(x) = x2, then f-1(9) is equal to:
→
In the expansion of $\Big(\frac{1}{2}\text{x}^{\frac{1}{3}}+\text{x}^{\frac{-1}{5}}\Big)^{8},$ the term independent of x is:
    →
    The equation of line passing through point of intersection of lines $a x+2 b y+3 b=0$ and $b x-2 a y$ $-3 a=0$ and parallel to $x$-axis, while $(a, b \neq 10,0)$ is :
    →

    A(6, 3), B(-3, 5), C(4, -2) and D(x, 3x) are four points. If $\triangle\text{DBC} : \triangle\text{ABC}= 1 : 2,$ then x is equal to:

    →
    If x4 occurs in the rth term in the expansion of $\big(\text{x}^4+\frac{1}{\text{x}^3}\big)15,$ then what is the value of r?
    →
    Let A = {1, 2, 3}. The total number of distinct relations that can be defined over A, is:
    →