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Questions  

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

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

detailed solution

Correct option is C

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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