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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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Correct option is C
We have 6x2−xy−12y2=0or (2x−3y)(3x+4y)=0_____(1)and 15x2+14xy−8y2=0or (5x−2y)(3x+4y)=0______(2)Equation of the line common to (1) and (2) is3x+4y=0______(3)Equation of any line parallel to (3) is 3x+4y=k Since its distance (3) is 7, we have |k32+42|=7or k=±35Talk to our academic expert!
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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
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