The equation of reflection of y 2- x about y - axis is A- y2-x-0B- x2-y-0C- x-y2-0D- x2-y-0

The correct option is C x+y^2=0For reflection about y axis, replace x by x nbsp; The curve y^2=x becomes nbsp;y^2= x (reflecion) Hence, equation of reflec ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Focus

The equation ...

Question

The equation of reflection of $y^{2} = x$ about $y -$ axis is

x + y^{2} = 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x^{2} - y = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y^{2} - x = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x^{2} + y = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $x + y^{2} = 0$
For reflection about $y -$ axis, replace $x$ by $- x$
The curve $y^{2} = x$ becomes $y^{2} = - x$ (reflecion)
Hence, equation of reflection of the given curve is $y^{2} + x = 0$

Suggest Corrections

Similar questions

Equation of smallest circle passing through points of intersection of line $x + y = 1$ & circle $x^{2} + y^{2} = 9$ is

Q. Let

z = x + i y

be a complex number. The equation

a r g (\frac{z + 1}{z}) = \frac{π}{4}

represents

Q. The intercept on the line y = x by the circle

x^{2} + y^{2} - 2 x = 0

is AB. The equation of the circle on AB as a diameter is

A $(x_{1}, y_{1})$ and B $(x_{2}, y_{2})$ are the end-points of diameter of a circle. Find the equation of the circle.

Q. The equation of a circle whose radius is

8

units and which touches both

x -

axis and

y -

axis is

Join BYJU'S Learning Program

Explore more

Focus

Standard XII Mathematics

Join BYJU'S Learning Program

The equation of reflection of y2=x about y−axis is

The correct option is A x+y2=0For reflection about y−axis, replace x by −x The curve y2=x becomes y2=−x (reflecion) Hence, equation of reflection of the given curve is y2+x=0

The equation of reflection of $y^{2} = x$ about $y -$ axis is

The correct option is A $x + y^{2} = 0$
For reflection about $y -$ axis, replace $x$ by $- x$
The curve $y^{2} = x$ becomes $y^{2} = - x$ (reflecion)
Hence, equation of reflection of the given curve is $y^{2} + x = 0$