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प्रश्न
Find the mid-point of the line segment joining the points
(−2, 3) and (−6, −5)
उत्तर
Mid−point of a line =
Mid−point of AB =
=
= (−4, −1)
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संबंधित प्रश्न
P(–3, 2) is the mid-point of line segment AB as shown in the given figure. Find the co-ordinates of points A and B.
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A lies on the x - axis amd B lies on the y -axis . The midpoint of the line segment AB is (4 , -3). Find the coordinates of A and B .
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Find the mid-point of the line segment joining the points
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If the mid-point (x, y) of the line joining (3, 4) and (p, 7) lies on 2x + 2y + 1 = 0, then what will be the value of p?
The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is
From the figure given alongside, find the length of the median AD of triangle ABC. Complete the activity.
Solution:
Here A(–1, 1), B(5, – 3), C(3, 5) and suppose D(x, y) are coordinates of point D.
Using midpoint formula,
x =
∴ x =
y =
∴ y =
Using distance formula,
∴ AD =
∴ AD =
∴ AD =
∴ The length of median AD =
ABC is a triangle whose vertices are A(1, –1), B(0, 4) and C(– 6, 4). D is the midpoint of BC. Find the coordinates of D.
