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3. Coordinate Geometry
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Q18 of 40 Page 3

The distance between the origin and a point (x, 4) is 5 units. Find the value of x.

Concept Used:


Distance of point (0, 0) from a point (x, y)


Explanation:


The distance between (x, 4) and origin



x2 + 16 = 25


x2 = 25 – 16


x2 = 9


x = ±3


Hence, the values of x are +3 and -3.


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If two points lie on the y-axis and the distance between them is 5 units, and one of the points is 2 unit from the origin. Find the coordinates of points.

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A car started from a point A and moved 4km in the west direction reaching point B. From B it moved 10km in the south direction reaching point C. After reaching point C, it took a right turn and moved 12 km to reach D. Find the coordinates of B, C and D.

19

Find the point where the x-axis and y-axis intersect. Also, find the coordinate of the point.

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A line makes an angle of 30˚ from the x-axis in an anti-clockwise direction. Find the angle that this line will make with y-axis in anti-clockwise direction:

Questions · 40
3. Coordinate Geometry
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