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Question
The line 2x + y – 4 = 0 divides the line segment joining A(2, –2) and B(3, 7) in the ratio
Options
2 : 5
2 : 9
2 : 7
2 : 3
MCQ
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Solution
2 : 9
Explanation:
Let P be the intersection.
Parametrize P = A + t(B – A)
= (2 + t, –2 + 9t)
Substitute in 2x + y – 4 = 0:
2(2 + t) + (–2 + 9t) – 4 = 11t – 2
= 0
⇒ `t = 2/11`
So, AP : PB = t : (1 – t)
= `2/11 : 9/11`
= 2 : 9
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