If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P(x, y) and x + y - 10 = 0, find ... | SA 3m | Maths | SuperPadhai

Coordinate Geometry > Question

SA3 marksYear: 2020EasyCBSE Class 10

coordinate-geometrymid-point

Question

If the mid-point of the line segment joining the points

A (3, 4)

and

B (k, 6)

is

P (x, y)

and

x + y - 10 = 0

, find the value of

k

.

Solution

1

Mid-point:

x = \frac{3 + k}{2}

,

y = \frac{4 + 6}{2} = 5

+1.5 marks

2

x + y - 10 = 0 \Rightarrow \frac{3 + k}{2} + 5 - 10 = 0 \Rightarrow k = 7

+1.5 marks

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