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Why is coordinate geometry used?

(a) To find square root of a number

(b) To locate a point in a plane precisely

(c) To create different shapes

(d) To multiply numbers

I had been asked this question in examination.

The doubt is from Coordinate Geometry & Cartesian System in division Coordinate Geometry of Mathematics – Class 9

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The correct option is (b) To locate a point in a plane precisely

The best I can explain: Consider the diagram given below.

Suppose we want to know the location of point p, would it be enough if we only knew that the distance between the point and x – axis is 4?

Would it be enough if we only knew that the distance between the point and y – axis is 6?

Certainly not.

But if we know that it’s distance from x – axis and y – axis is 4 and 6 respectively, then we can easily locate it in a plane. Hence, coordinate geometry makes it easier to locate any point in a plane precisely.

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