Q.

The combined equation of pair of lines is 3x2-4xy+3y2=0, if the lines were rotated about the origin by π6 in the anticlock wise direction then the new position is

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a

3x2-xy=0

b

3x2+xy=0

c

3x2-x=0

d

3x2-y=0

answer is A.

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Detailed Solution

Equations of the given lines are y=3x,y=13x These two lines can be written as y=tan 60∘x and y=tan30∘x  After rotation the equations becomes  y=tan90∘x and y=tan 60∘x  Equations are x=0, and y=3x  The combined equation is 3x2-xy=0
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