1.

Let p, q, r, s be the distances from origin of the points (2, 6), (3, 4), (4, 5) and (-2, 5) respectively. Which one of the following is a whole number ?A. pB. qC. rD. s

Answer» Correct Answer - B
Let A(2, 6), B(3, 4), C(4, 5) and D(-2, 5) are the given points. Let O be the origin, i.e. O (0, 0)
`OA=sqrt((2-0)^(2)+(6-0)^(2))=sqrt(40)=2sqrt(10)` units
`OB=sqrt((3-0)^(2)+(4-0)^(2))=sqrt(9+16)=5` units
`OC=sqrt((4-0)^(2)+(5-0)^(2))=sqrt(16+25)=sqrt(41)` units
`OD=sqrt((-2-0)^(2)+(5-0)^(2))=sqrt(4+25)=sqrt(29)` units
So, `q=OB=5` units is the correct answer.


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