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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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If the lines x=k;k=1,2…,nx=k ; k=1,2 \ldots, n meet the line y=3x+4y=3 x+4 at the points Ak(xk,yk),k=1,2,…,nA_k\left(x_k, y_k\right), k=1,2, \ldots, n then the ordinate of the centre of Mean position of the points AkA_k, k=1,2,…,nk=1,2, \ldots, n is
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Correct option: B
3n+112\frac{3 n+11}{2}
Option B (3n+112\frac{{3 n+11}}{{2}}) is correct because it represents the ordinate of the center of the mean position of the points AkA_k, calculated using the summation of the ordinates divided by nn.

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