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CBSE Online Learning | Class 10 Maths | NCERT Solution to Exercise Questions | Ex 7.2 Q6 | Coordinate Geometry

An easy question that tests your understanding of one of the basic properties of parallelogram and application of the mid point formula to find the answer.

Question
If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find ‘x’ and ‘y’.

Approach
1. In a parallelogram, the diagonals bisect each other.
2. If the vertices of the parallelogram are A, B, C, and D in order, AC is one diagonal and DB is the second diagonal.
3. Because the diagonals bisect each other, the mid point of AC and that of DB will be the same point.
4. Compute coordinates of point P as mid point of AC. Repeat the exercise as mid point of DB.
5. Equate the expressions obtained in step 4 to find x and y

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