UPSC CDS Math Circle Questions

Question : 43 of 46

Marks: +1, -0

Let ABC be a triangle in which ∠ACB = 60° and AC = x < BC. Let the circle with centre at C and radius x meet BC at D. Let CF be the perpendicular drawn from C meeting AD at F.
Statement-I :
Triangle ACD is isosceles but not equilateral.
Statement-II :
D F =x / 2
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

Validate

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