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Question

Find the coordinates of the midpoint of the segment joining the points (-4, 7) and (2, 3).

This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is

(-1, 5)

Short trick:

Coordinates of the midpoint

\(= \left( {\frac{{ - 4 + 2}}{2},\frac{{7 + 3}}{2}} \right) = \left( { - 1,\;5} \right)\)

Detailed solution:

Let the coordinates of the midpoint = (x, y)

According to the question,

⇒ x = (- 4 + 2)/2 = - 1

According to the question,

⇒ y = (7 + 3)/2 = 5

∴ The coordinates of the midpoint of the segment joining the points (- 4, 7) and (2, 3) are (- 1, 5).
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Similar Questions

  1. Find the slope of the line joining the points (3, -4) and (5, 2).

  2. The graph of 2x = 5 - 3y cuts the x-axis at the point P (α, β) . The value of (2α + β) is:

  3. Find the slope of the line given by the equation 4x + 6y = 9.

  4. Reflection of the point (2, 3) on the X-axis is:

  5. Find the slope of the line joining the points (3, -4) and (5, 2).

  6. What is the distance between the points (4, 3) and (3, -2)?

  7. Reflection of point (-2, -6) on the Y-axis is:


Important Questions from Co-ordinate Geometry

  1. In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?

  2. In which quadrant both abscissa and ordinate are negative?

  3. Find the slope of the line joining the points (3, -4) and (5, 2).

  4. A1 (x1, y1), A2 (x2, y2), A3 (x3, y3) and A4 (x4, y4) are 4 points, p1 divides A1A2 in the ratio 1 ∶ 1, p2 divides P1A3 in the ratio 1 ∶ 2, P3 divides p2A4 in the ratio 1 ∶ 3. Then the coordinates of p3 are:

  5. If (3, 2) are coordinates of the centroid of a triangle, whose vertices are (0, 4), (-2, 0) and (p, 2), then find the value of p.

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