If the points of intersection of the coordinate axes and x + y = 2 form a rhombus, then its area is

If the points of intersection of the coordinate axes and x+y=2 form a rhombus, then its area is
  1. 8
  2. 16
  3. 2
  4. 4

Solution

Plotting the diagram of the given information we have,

 

Now area of rhombus will be 4×area of △OAB

So total area is 4×12×2×2=8 sqaure units.

Asked in: AP EAMCET 2022 (04 Jul Shift 2)

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