Question
Two lines represented by the equation are rotated about the point (1, 0), the line making the bigger angle with the positive direction of the xaxis being turned by 45^{o} in the clockwise sense and the other line being turned by 15^{o} in the anticlockwise sense. The combined equation of the pair of lines kin their new position is

None of these



medium
Solution
We have,
Thus, the lines represented by the given equation are y – x + 1 =0 and y +x – 1 = 0.
these lines intersect at (1, 0). One of them makes 45^{o} angle with xaxis and the other makes 135^{o} angle with xaxis.
The equations of the new lines are
The combined equation of these two lines is
.
SIMILAR QUESTIONS
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The value of λ for which the lines joining the point of intersection of curves C_{1} and C_{2} to the origin are equally inclined to the axis of X.