The number of solutions of y - x 2-3- and y -1- isA- 1B- 2C- 3D- 4

The correct option is D 4Curve of y=x^2 is Now move this curve downwards by 3 units ⇒ y = x^2 3 Now graph of y=|x^2 3| is As nbsp;y =|x^2 3| and y=1 in ...

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Standard XII

Mathematics

f(x) Transforms to af(x)

The number of...

Question

The number of solution(s) of $y = | x^{2} - 3 |$ and $y = 1,$ is

1

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Solution

The correct option is D $4$
Curve of $y = x^{2}$ is

Now move this curve downwards by $3$ units
$\Rightarrow y = x^{2} - 3$

Now graph of $y = | x^{2} - 3 |$ is

As $y = | x^{2} - 3 |$ and $y = 1$ intersects at $4$ distinct points, hence the number of solutions is $4.$

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The number of solution(s) of y=|x2−3| and y=1, is

The correct option is D 4Curve of y=x2 is Now move this curve downwards by 3 units ⇒y=x2−3 Now graph of y=|x2−3| is As y=|x2−3| and y=1 intersects at 4 distinct points, hence the number of solutions is 4.

The number of solution(s) of $y = | x^{2} - 3 |$ and $y = 1,$ is

The correct option is D $4$
Curve of $y = x^{2}$ is

Now move this curve downwards by $3$ units
$\Rightarrow y = x^{2} - 3$

Now graph of $y = | x^{2} - 3 |$ is

As $y = | x^{2} - 3 |$ and $y = 1$ intersects at $4$ distinct points, hence the number of solutions is $4.$