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Vertical lines

Drag the point A to anywhere you like. Then move the point C on the line. Observe the changes.

Q.1

Which coordinate of C changes as you move it along the vertical line?

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  • A
  • B
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Q.2

Which coordinate of C does not change as you move it?

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  • A
  • B
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Q.3

If we denote the point A as (a,b) and C as (c,d). Then we must have

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  • A
  • B
  • C
  • D
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Q.4

What are the features of all the points on the vertical line?

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  • A
  • B
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Q.5

Supposing you have put A as (-4,-3) and move C away from A downwards what will happen?

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  • A
  • B
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Q.6

Supposing you have put the point A at (-1,5) and move C away from it upwards what will happen?

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  • A
  • B
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EQUATION OF A VERTICAL LINE

Since all the points of a vertical line have the same x-coordinate we can write all the points on it as a set where c is the numerical value of all the x-coordinates. We therefore define the equation of a line parallel to y-axis as x=c.

Q.7

What is the equation of line parallel to y-axis and passing through the point (2,3)?

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  • A
  • B
  • C
  • D
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Q.8

If the point (2,3) lies on the line x=c then what is the value of c?

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  • A
  • B
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Q.9

If then for what value of the line will not be vertical?

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  • A
  • B
  • C
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Q. 10

Out of the points A(1,2), B(2,3) , C(3,2), D(1,2) which lie on the vertical line x=1?

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  • A
  • B
  • C
  • D
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