JEE AdvancedStraight LineMedium
Question
All points lying inside the triangle formed by the points (1, 3) , (5, 0) and (-1, 2) satisfy
Options
A.3x + 2y ≥ 0
B.2x + y - 13 ≥ 0
C.2x - 3y - 12 ≤ 0
D.- 2x + y ≥ 0
Solution
Since, 3x + 2y ≥ 0 .......(i)
where (1, 3) (5, 0) and (-1, 2) satisfy Eq. (i)
∴ Option (a) is true.
Again, 2x + y - 13 ≥ 0
Is not satisfied by (1, 3),
∴ Option (b) is false.
2x - 3y - 12 ≤ 0
is satisfied for all points,
∴ Option (c) is true.
And -2x + y ≥ 0
is not satisfied by (5, 0),
∴ Option (b) is false.
Thus (a) and (c) are vorrect answers .
where (1, 3) (5, 0) and (-1, 2) satisfy Eq. (i)
∴ Option (a) is true.
Again, 2x + y - 13 ≥ 0
Is not satisfied by (1, 3),
∴ Option (b) is false.
2x - 3y - 12 ≤ 0
is satisfied for all points,
∴ Option (c) is true.
And -2x + y ≥ 0
is not satisfied by (5, 0),
∴ Option (b) is false.
Thus (a) and (c) are vorrect answers .
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