Let the value of \[\mathbf{p}=(x+4y)\,\mathbf{a}+(2x+y+1)\,\mathbf{b}\] and \[\mathbf{q}=(y-2x+2)\,\mathbf{a}+(2x-3y-1)\,\mathbf{b},\] where a and b are non-collinear vectors. If \[3\mathbf{p}=2\mathbf{q},\] then the value of x and y will be [RPET 1984; MNR 1984]

Let the value of \[\mathbf{p}=(x+4y)\,\mathbf{a}+(2x+y+1)\,\mathbf{b}\

1.	Let the value of \[\mathbf{p}=(x+4y)\,\mathbf{a}+(2x+y+1)\,\mathbf{b}\] and \[\mathbf{q}=(y-2x+2)\,\mathbf{a}+(2x-3y-1)\,\mathbf{b},\] where a and b are non-collinear vectors. If \[3\mathbf{p}=2\mathbf{q},\] then the value of x and y will be [RPET 1984; MNR 1984]
A.	- 1, 2
B.	2, - 1
C.	1, 2
D.	2, 1
Answer» C. 1, 2

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Let the value of \[\mathbf{p}=(x+4y)\,\mathbf{a}+(2x+y+1)\,\mathbf{b}\] and \[\mathbf{q}=(y-2x+2)\,\mathbf{a}+(2x-3y-1)\,\mathbf{b},\] where a and b are non-collinear vectors. If \[3\mathbf{p}=2\mathbf{q},\] then the value of x and y will be [RPET 1984; MNR 1984]

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