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Two sides of a triangle have joint equation : x²-2xy-3y²+8y-4=0, the third side which is variable always passes through the point (-5,-1). Find range of values of slope of third side such that origin is an interior point.

Two sides of a triangle have joint equation : x²-2xy-3y²+8y-4=0, the third side which is variable always passes through the point (-5,-1). Find range of values of slope of third side such that origin is an interior point.

Grade:11

1 Answers

Bhavyaa
30 Points
5 years ago
(-1,0.2) range
Two given lines are x+y=2 and x=3y-2
Draw a rough idea
y=me+5m-1 be eq of third side
They form a triangle if slope is greater than -1 and the third side will contain origin for m=0.2
 

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