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CBSE Class 12 Math 2022 Term I Solved Paper

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Question : 6 of 50
Marks: +1, -0
Three points P(2x,x+3),Q(0,x) and R(x+3,x+6) are collinear, then x is equal to
Solution:     👈: Video Solution
Explanation: As points are collinear
⇒ area of triangle formed by 3 points is zero.
⇒12|(x1−x2)(x2−x3)(y1−y2)(y2−y3)|=0
⇒12|(2x−0){0−(x+3)}(x+3−x){x−(x+6)}|=0
⇒|2x−(x+3)3−6|=0
⇒−12x+3(x+3)=0
⇒−12x+3x+9=0
⇒−9x=−9
⇒x=1
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