KVPY SX SB Exam 05-Nov-2017 Question Paper

Question : 18 of 120

Marks: +1, -0

Let

A = (a_1, a_2) \and B = (b_1, b_2)

be two points in the plane with integer coordinates. Which one of the following is not a possible value of the distance between A and B ?

Solution:

AB = √{(a_1-b_1)^2+(a_2-b_2)^2}

Square + Square =

√ 65

possible when
= 64 + 1

√74 = 49 +25

√97 = 81 + 16

But

√ 83

not possible

Go to Question:

Prev Question

Next Question