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If point P is midpoint of segment joining point A(– 4, 2) and point B(6, 2), then the coordinates of P are ______ - Geometry Mathematics 2

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Question

If point P is midpoint of segment joining point A(– 4, 2) and point B(6, 2), then the coordinates of P are ______

Options

  • (–1, 2)

  • (1, 2)

  • (1, –2)

  • (–1, –2)

MCQ
Fill in the Blanks

Solution

(1, 2)

A(x1, y1) = A( –4, 2), B(x2, y2) = B(6, 2)

Here, x1 = – 4, y1 = 2, x2 = 6, y2 = 2

∴ Co-ordinates of the midpoint of seg AB

= `((x_1 + x_2)/2, (y_1 + y_2)/2)`

= `((-4 + 6)/2, (2 + 2)/2)`

= `(2/2, 4/2)`

= (1, 2)

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Chapter 5: Co-ordinate Geometry - Q.1 (A)

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