If (a, b) is the mid-point of the line segment joining the points A(10, -6) and B(k, 4) and a - 2b = 18, the val... | MCQ 1m | Maths | SuperPadhai

Coordinate Geometry > Question

MCQ1 markYear: 2020EasyCBSE Class 10

coordinate-geometrymid-point

Question

If

(a, b)

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

A (10, - 6)

and

B (k, 4)

and

a - 2 b = 18

, the value of

k

is

Solution

1

Mid-point:

a = \frac{10 + k}{2}

,

b = \frac{- 6 + 4}{2} = - 1

.

a - 2 (- 1) = 18 \Rightarrow a = 16 \Rightarrow \frac{10 + k}{2} = 16 \Rightarrow k = 22

+1 mark

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