KVPY SB SX Exam 2011 Question Paper

Question : 7 of 120

Marks: +1, -0

In a rectangle ABCD, the coordinates of A and B are (1, 2) and (3, 6) respectively and some diameter of the circumscribing circle of ABCD has equation

2x-y + 4 = 0

. Then the area of the rectangle is

16
$2√10$
$2√5$
20

Validate

Solution:

Slope of AB

=4/2=2

slope of BC

=-1/2

l(\AB)=√{4+16}=2√5

distance between

2x - y + 4 = 0

2x - y = 0

4/√5

Area

=2√5 . 8/√5=16

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