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Maths-

General

Easy

Question

What is the reflection of (3,4) in 4th quadrant.

(-3,-4)
(-3,4)
(3,-4)
(3,4)

Hint:

The reflection of a point in $1 s t$ quadrant in the $4 t h$ Quadrant is the reflection along the X-axis. The reflection of a point $left parenthesis X comma Y right parenthesis$ along the X-axis is $left parenthesis X comma negative Y right parenthesis$ .

The correct answer is: (3,-4)

In this question we have to find the reflection of point $left parenthesis 3 comma 4 right parenthesis$ in the fourth quadrant.
Step1: Locating the point.
Since, both the X and Y-Coordinate of the point are non negative. The point lies in the first quadrant.
Step2: Finding the reflection point in the $4 t h$ Quadrant.
The reflection of a point in $1 s t$ quadrant in the $4 t h$ Quadrant is the reflection along the X-axis. In the reflection along X-axis the X-Coordinate of the point remains the same and the Y-Coordinate becomes the additive inverse.
The reflection of a point $left parenthesis X comma Y right parenthesis$ along the X-axis is $left parenthesis X comma negative Y right parenthesis$ .
So, the reflection of the point $left parenthesis 3 comma 4 right parenthesis$ in the $4 t h$ Quadrant will be $left parenthesis 3 comma negative 4 right parenthesis$ .

Related Questions to study

What will be correct inequality if $negative 2 x minus 4 less than negative 12$ is divided by .-2

$- 2 x + 4 < 6$
$x + 4 < 6$
$x + 4 > 6$
$2 x - 4 < 12$

What will be correct inequality if $negative 2 x minus 4 less than negative 12$ is divided by .-2

$- 2 x + 4 < 6$
$x + 4 < 6$
$x + 4 > 6$
$2 x - 4 < 12$

Which point represents (-3,2)

T
U
V
S

Which point represents (-3,2)

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Which of the following is the equation for distance between two points.

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Which of the following is the equation for distance between two points.

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$\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
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Find the volume of triangular prison of length 15 cm and base area 6 cm^2.

45 cm³
90 cm³
30 cm³
180 cm³

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Evaluate: $2 x plus 3 y text for end text x equals left parenthesis negative 1 right parenthesis text and end text y equals 3$

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What is the mean absolute value for first 5 natural numbers.

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$12 m^{2}, 14 m$
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What is the reflection of point (-3,-4) along x - axis

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In which quadrant dose the point (0,3) lies.

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Quadrant 2
Quadrant 3
Quadrant 4

In which quadrant dose the point (0,3) lies.

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Quadrant 2
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