Question
Assertion

Points A(1, 0) , B(2, 3) , C(5, 3) and D(6, 0) are concyclic.

Reason

Points A, B, C, D forms isosceles trapezium or AB and CD meet in E, then

A

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

B

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

C

Assertion is correct but Reason is incorrect

D

Both Assertion and Reason are incorrect

Medium
Solution
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Correct option is A)

From the figure, it is clear that ABCD is a trapezium, because slopes of and are same.
Now, by distance formula,
And
, is an isosceles trapezium.
So, and are equal.
 Therefore, and are isosceles .
and
.
Which satisfies condition of points lying on circle.
Therefore, A, B, C and D are concyclic. 
Hence, both the statements are correct and reason is correct explanation of assertion.

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