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JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

A line passes through the points whose position vectors are and . The position vector of a point on it at a unit distance from the first point is

Answer: (D)

Solution

*(Figure: line through A and B; points P on either side of A at distance 1.)*

Let A , B . Then

=0 Missing argument for \hat\hat i-4Missing argument for \hat\hat j+3Missing argument for \hat\hat k, ||=5 .

The points at unit distance from A on the line are

Missing argument for \vec\vec r=Missing argument for \vec\vec A±Missing argument for \frac\frac{\overrightarrow{AB}}{|

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Question ID VK-109700