Questions
The combined equation of pair of lines passing through the point and parallel to the pair of lines
detailed solution
Correct option is D
The combined equation of pair of lines passing through the point x1,y1 and parallel to the pair of lines ax2+2hxy+by2=0 is ax−x12+2hx−x1y−y1+by−y12=0Hence, the required equation is x−12+2x−1y−2+y−22=0Simplifyx2−2x+1+2xy−2y−4x+4+y2−4y+4=0x2+2xy+y2−6x−6y+9=0Therefore, the combined equation of pair of lines passing through the point (1,2) and parallel to the pair of lines x2+2xy+y2=0,is x2+2xy+y2−6x−6y+9=0.Talk to our academic expert!
Similar 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
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