Straight Line Question 82

Question: The area enclosed within the curve $ |x|+|y|=1 $ is [RPET 1990, 1997; IIT 1981; UPSEAT 2003]

Options:

A)Rectangle

B)Square

C)Cyclic quadrilateral

D)Rhombus

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ m_1=-1/3 $ and $ m_2=3 $ . Hence lines $ x+3y=4 $ and $ 6x-2y=7 $ are perpendicular to each other. Therefore the parallelogram is a rhombus.

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