If we rotate y2 - 4ax by 90- clockwise- we get x2 - 4ay-

We know the shape of y^2=4ax Now,x^2=4ay can be written as y=x^2/4a This is an upward facing parabola like this Comparing two figures we can say that, b ...

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Byju's Answer

Standard XIII

Mathematics

Four Common Forms of Parabola Equation

If we rotate ...

Question

If we rotate $y^{2} = 4 a x$ by $90^{\circ}$ clockwise, we get $x^{2} = 4 a y$ .

True

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False

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Solution

The correct option is B
False

We know the shape of $y^{2} = 4 a x$

Now, $x^{2} = 4 a y$ can be written as $y = \frac{x^{2}}{4 a}$

This is an upward facing parabola like this

Comparing two figures we can say that,

by rotating $y^{2} = 4 a x$ through $90^{\circ}$ anti-clockwise

We get $x^{2} = 4 a y$ .So the given statement is wrong.

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Similar questions

If we rotate $y^{2} = 4 a x$ by $90^{\circ}$ clockwise, we get $x^{2} = 4 a y$ .

Q. Find the areas included between the parabolas
(i)

y^{2} = 4 a x

and

x^{2} = 4 a y

(ii)

y^{2} = 4 a x

and

x^{2} = 4 b y

Q. If we rotate the mirror images

90^{o}

clockwise, the resultant figure would be

Q. Find the area of the region bounded by the curves

y^{2} = 4 a x

and

x^{2} = 4 a y

Q. If the axes are rotated through an angle of

90^{\circ}

in any direction then the transformed equation of

x^{2} = 4 a y

can be

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If we rotate y2=4ax by 90∘ clockwise, we get x2=4ay.

The correct option is B False We know the shape of y2=4ax Now,x2=4ay can be written as y=x24a This is an upward facing parabola like this Comparing two figures we can say that, by rotating y2=4ax through 90∘ anti-clockwise We get x2=4ay.So the given statement is wrong.

If we rotate $y^{2} = 4 a x$ by $90^{\circ}$ clockwise, we get $x^{2} = 4 a y$ .