Questions
If the lines represented by the equation are rotated about the point through an angle of one in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is
detailed solution
Correct option is B
The given equation of the pair of straight lines can be rewritten as (3 y−x+3)(3 y+x−3)=0Their separate equations are 3y−x+3 =0 and 3y+x−3 =0or y=13x−1 and y=−13x+−1 or y=(tan 300)x−1 and y=(tan 1500)x+1After rotation through an angle of 150 as given in the question, the lines are (y−0)=tan 450(x−3) and (y−0)=tan 1350(x−3)or y=x−3 y=−x+3 Their combined equation is (y−x+3)(y+x−3)=0or y2−x2+23x−3=0Talk to our academic expert!
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The equation of a line which is parallel to the line common to the pair of lines given by and and at a distance of 7 units from it is
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