The equation of the locus of all points equidistant from the poin… - Vidyadip

MCQ

The equation of the locus of all points equidistant from the point $(4,2)$ and the $x$-axis, is

A
${x^2} + 8x + 4y - 20 = 0$
✓
${x^2} - 8x - 4y + 20 = 0$
C
${y^2} - 4y - 8x + 20 = 0$
D
None of these

✓

Answer

Correct option: B.

${x^2} - 8x - 4y + 20 = 0$

b
(b) ${(x - 4)^2} + {(y - 2)^2} = {y^2}\,\, $

$\Rightarrow \,\,{x^2} - 8x - 4y + 20 = 0$.

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 "MCQ" from rectangular cartensian co-ordinates→rectangular cartensian co-ordinates — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The number of real values of $\lambda$ for which the lines $\text{x} - 2\text{y} + 3 = 0, \lambda\text{x} + 3\text{y} + 1 = 0$ and $4\text{x} - \lambda\text{y} + 2 = 0$ are concurrent is:

Let $A =\left\{\theta \in(0,2 \pi): \frac{1+2 i \sin \theta}{1- i \sin \theta}\right.$ is purely imaginary $\}$. Then the sum of the elements in $A$ is

If A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, find
$\text{A}\times(\text{B}\cup\text{C})$

Which of the following equations represents a parabola:

The value of ${a^{{{\log }_b}x}}$, where $a = 0.2,\;b = \sqrt 5 ,\;x = \frac{1}{4} + \frac{1}{8} + \frac{1}{{16}} + .........$to $\infty $ is

If the point dividing internally the line segment joining the points $(a, b)$ and $(5, 7)$ in the ratio $2 : 1$ be $(4, 6)$, then

The sides $AB,BC,CD$ and $DA$ of a quadrilateral are $x + 2y = 3,\,x = 1,$ $x - 3y = 4,\,$ $\,5x + y + 12 = 0$ respectively. The angle between diagonals $AC$ and $BD$ is ......$^o$

Choose the correct answer. Let $\mathrm{x}_1, \mathrm{x}_2, \ldots, \mathrm{x}_n$ be n observations and $\overline{\mathrm{x}}$ be their arithmetic mean. The formula for the standard deviation is given by:

$^{10}{C_1}{ + ^{10}}{C_3}{ + ^{10}}{C_5}{ + ^{10}}{C_7}{ + ^{10}}{C_9} = $

If $\operatorname{gcd}( m , n )=1$ and $1^2-2^2+3^2-4^2+\ldots \ldots$ $+(2021)^2-(2022)^2+(2023)^2=1012 m ^2 n$, then $m ^2- n ^2$ is equal to