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Distance between Two Points on the Same Coordinate Axes

In the graph ...

Question

In the graph alongside, line LM is parallel to the Y-axis.

What is the distance of line LM from the Y-axis?

Write the co-ordinates of the points P, Q and R.

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Solution

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In the graph alongside, line LM is parallel to the Y-axis.

(i) What is the distance of line LM from the Y-axis ?

(ii) Write the co-ordinates of the points P, Q and R.

(iii) What is the difference between the x co-ordinates of the points L and M?

Q. Write the equation of a line which is parallel to X-axis at a distance of 5 units from it, and another line parallel to Y-axis at a distance of 7 unit from it. Draw the graphs and write the co-ordinates of point of intersection.

Q. Read the graph and write the answer of the following questions.
figure

(i) Write the co-ordinates of the points A, B, C, D, E, F, Q, P and H
(ii) Which co-ordinate of point B is zero?
(iii) Which points have co-ordinates (

-

-

5) and (3, 2)?
(iv) To which axis the line AH is parallel?
(v) Which co-ordinate of point P and Q is the same?
(vi) Which co-ordinate of E is 3?
(vii) To which axis the line EQ is parallel?
(viii) M is any point on the line AH, then state its x-co-ordinate.

Q. Line AB is parallel to Y-axis at a distance of 3 units to the left of it. Line PQ is parallel to X-axis at a distance of 4 units above it. Write the equations of the lines, draw the graphs and also write the point intersection of these two lines.

In Figure $L M$ is a line parallel to the y-axis at a distance of $3$ units.

What are the coordinates of the points $P, R$ and $Q$ ?

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Distance between Two Points on the Same Coordinate Axes

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