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The sides of a triangle have the combined equation . The third side, which is variable always passes through the point . If the range of values of the slope of the third line is such that the origin is an interior point of the triangle is  then the value of  is


Question ID - 153602 :-

The sides of a triangle have the combined equation . The third side, which is variable always passes through the point . If the range of values of the slope of the third line is such that the origin is an interior point of the triangle is  then the value of  is

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Answer Key : (4) -

(4)

Now  lies on

In limiting case line passing through  can be parallel to

i.e.

and maximum slope can occur if it passes through (0, 0)

i.e.

   and 



Next Question :

The point  divided the join of  in the ratio , then the integral value of  for which the area of  where  is (1, 5) and  is  is equal to 2 units in magnitude is


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