The symmetry in curve x^3 + y^3 = 3axy along - Vidyadip

MCQ

The symmetry in curve ${x^3} + {y^3} = 3axy$ along

A
$x$-axis
B
$y$-axis
✓
Line $y = x$
D
Opposite quadrants

✓

Answer

Correct option: C.

Line $y = x$

c
(c) By putting $y = x$or$x = y$, the equation remains unchanged. Hence it is symmetric to the line $y = x$.

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 9. straight line→9. straight line — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

$\frac{\sin5\text{x}}{\sin\text{x}}$ is equal to:

The locus of mid point of the chords of the circle ${x^2} + {y^2} - 2x - 2y - 2 = 0$ which makes an angle of $120^\circ $ at the centre is

A die is thrown then find the probability of getting a number greater than 3.

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A ∪ B ?

${7^{th}}$ term of the sequence $\sqrt 2 ,\;\sqrt {10} ,\;5\sqrt 2 ,\;.......$ is

If $\alpha ,\,\beta ,\,\gamma $ are the roots of the equation ${x^3} + 4x + 1 = 0,$ then ${(\alpha + \beta )^{ - 1}} + {(\beta + \gamma )^{ - 1}} + {(\gamma + \alpha )^{ - 1}} = $

The points which trisect the line segment joining the points $(0, 0)$ and $(9, 12)$ are

If sum of the first $21$ terms of the series $\log _{9^{1 / 2}} x +\log _{9^{1 / 3}} x +\log _{9^{1 / 4}} x +\ldots ., x >0$ , where $x>0$ is $504,$ then $\mathrm{x}$ is equal to:

If $a_n=\frac{-2}{4 n^2-16 n+15}$, then $a_1+a_2+\ldots \ldots+a_{25}$ is equal to :

For all $\mathrm{n} \in \mathrm{N}, 3^{2 \mathrm{n}}+7$ is divisible by: