Let the incircle to a triangle ABC touch BC, AC and AB respectively at the points X, Y and Z. Statement-I : If AB> BC, then AB + AZ Statement-II : AZ = AY Which one of the following is correct in respect of the above statements? [2014 CDS-II]

Correct Answer is : Statement-I is incorrect and Statement-II is correct

Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I

Statement-I and Statement-II are correct and Statement-II is not the correct explanation of Statement-I

Statement-I is correct and Statement-II is incorrect

Statement-I is incorrect and Statement-II is correct

UPSC CDS Math Circle Questions

Question : 42 of 46

Marks: +1, -0

Let the incircle to a triangle ABC touch BC, AC and AB respectively at the points X, Y and Z.
Statement-I :
If AB> BC, then AB + AZ < BC + XC
Statement-II :
AZ = AY
Which one of the following is correct in respect of the above statements?

[2014 CDS-II]

Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I
Statement-I and Statement-II are correct and Statement-II is not the correct explanation of Statement-I
Statement-I is correct and Statement-II is incorrect
Statement-I is incorrect and Statement-II is correct

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