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JEE MATHEMATICS MCQ: ADDITION OF VECTORS

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In a quadrilateral PQRS,PQ=a,QR=bP Q R S, \mathbf{P Q}=a, \mathbf{Q R}=b, SP=a−b\mathbf{S P}=a-b. IfM is the mid-point of QRQ R and XX is a point of SMS M such that, SX=45SMS X=\frac{4}{5} S M, then
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Correct option: B
PX=35PR\mathbf{P X}=\frac{3}{5} \mathbf{P R}
Option B is correct because by expressing the vectors in terms of position vectors and using the given ratios, PX simplifies to (3/5)PR.

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