First slide

Equation of line in Straight lines

Question

If (x, y) is a variable point on the line y =2x lying between the lines 2(x + 1) +y=0 and x + 3(y - 1)=0, then

Moderate

A

$x \in (- 1 / 2, 6 / 7)$
B

$x \in (- 1 / 2, 3 / 7)$
C

$y \in (- 1, 3 / 7)$
D

$y \in (- 1, 6 / 7)$

Solution

Solving y=2x,2(x + l) + y: 0, we get x =-1/2,y = -1. Solving
y = 2x, x + 3(y- 1) = 0, we get x = 3/7, y = 6/7

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