JEE Advanced Mathematics question
Two gas companies and , situated at and respectively (unit of distance = 1 km), offer to install equally priced gas ovens at a buyer's house. The company adds a charge of Rs 40/km of aerial distance between the company and the buyer's house while it is Rs 60 in case of the company . Then the region where it is cheaper to install the oven from the gas company is
Answer: (C)
Solution
Let the house be at . is cheaper when
40<60.
Both sides are non-negative, so we can square:
+-80x+1600)<+-60y+900)
⇒\ 0<++320x-540y+1700\ ⇒\ ++64x-108y+340>0 .
Completing the squ
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