CBSE Class 12 Math 2022 Term I Solved Paper

Question : 6

Total: 50

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.
⇒‌‌‌

(x1−x2)	(x2−x3)
(y1−y2)	(y2−y3)

|=0
⇒‌

(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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