Question

the graph of linear equation 4x+2y=12 cuts the x axis at the point​

Answer 1

Answer:

Equation :- 4x+3y=12

When the graph cuts x-axis, y coordinate becomes zero.

⇒4x+3(0)=12

⇒4x=12

⇒x=3

Similarly, when the graph cuts the y-axis, x coordinate is zero.

⇒4(0)+3y=12

⇒3y=12

⇒y=4

If OA=3units

OB=4units

By Pythagoras theorem

(AB)

2

=(OA)

2

+(OB)

2

=(3)

2

+(4)

2

=9+16

=25

=

25

⇒AB=5units

∴ The correct option is 'C'

solution

Answer 2

SOLUTION

FILL IN THE BLANK

The graph of linear equation 4x + 2y = 12 cuts the x axis at the point _____

EVALUATION

Here the given equation of the line is

4x + 2y = 12 - - - - - (1)

Now the line cuts the x axis

Then y = 0

From Equation 1 we get

4x = 12

⇒ x = 3

Hence the required point = ( 3 , 0)

FINAL ANSWER

The graph of linear equation 4x + 2y = 12 cuts the x axis at the point (3,0)

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