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Q.

Two pairs of lines 2x2+6xy+y2=0 and 4x2+18xy+y2= 0

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a

one is angular bisector of the other

b

not equally inclined

c

both posses same angular bisectors

d

one is the angular bisector of the coordinate axes

answer is C.

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Detailed Solution

The angular bisector of ax2+2hxy+by2= 0 is hx2-y2-xya-b=0 The angular bisector of 2x2+6xy+y2= 0 is 3x2-xy-3y2=0The angular bisector of 4x2+18xy+y2=0 is 9x2-3xy-9y2=0 The above two equations represents same set of pair of lines it means both the pair of lines possess same angualr bisectors
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