Question

The geometrical representation of which of the following equation/equations is parallel to x axis and lies at a distance of 3.5 units in the negative side of y axis? *
1 point
i. y+( 7/2) =0
ii. x+( 7/2) =0
iii. 2y+y=0
iv . 2y-7 =o​

Answer 1

Answer:

Let the equation of the line be y=mx+c .....(1)

Since it is parallel to the X-axis then m=0.

∴ (1) becomes y=c .....(2) i.e the equation will have no x-term.

Let's check for the equations given

x+y=3 contains term of x. So, it can't be parallel to X-axis.

2x+3=7 contains x-term.

Thus, it is not parallel to X-axis.

2−y−3=y+1 ⟹y=1 which is in the form of (2) which does not contain x-term.

x+3 contains x-term. So, it is also not parallel to X-axis.

Thus, only the equation given by option C is parallel to X-axis.

Hence, option C is correct.

Answer 2

$\huge \blue{Question:–}$

The geometrical representation of which of the following equation/equations is parallel to x axis and lies at a distance of 3.5 units in the negative side of y axis? *

1 point

i. y+( 7/2) =0

ii. x+( 7/2) =0

iii. 2y+y=0

iv . 2y-7 =o

$\huge \green{Answer:–}$

Let the equation of the line be y=mx+c.....

1) since it is parellal to the X-axis them m=0.

:. 1 becomes y=c .........(2) i.e., the equation will have no x term.

Explanation:-

x+y=3 contains term of x .so it can be parellal to X-axis.

2x+3=7 contains x term.

Thus it is not parellat to X-axis.

2-Y-3= y=1 which is in the form of (2) which does not contain x-term.

x+3 contains x-term .So it is not parallal to X-axis.

thus only the equation given by 3rd option is correct.

Thank you...❤

$\huge \red{Queen here❀❥}$