KVPY SA Exam 2018 Question Paper

Question : 4 of 80

Marks: +1, -0

Consider the following two statements :
I. Any pair of consistent linear equations in two variables must have a unique solution
II. There do not exist two consecutive integers, the sum of whose squares is 365.
Then

both I and II are true
both I and II are false
I is true and II is false
I is false and II is true

Validate

Solution:

Clearly statement 1 is false as they can have infinite solutions statement 2 is also false as

13^2 + 14^2 = 365

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