MCQOPTIONS
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| 1. |
Let ABC and A’B’C’ be two triangles in which AB > A’B’, BC > B’C’ and CA > C’A’. Let D, E and F be the middle points of the sides BC, CA and AB respectively. Let D’, E’ and F’ be the midpoints of the sides of the sides B’C’, C’A’ and A’B’ respectively. Consider the following statements.Statement I:AD > A’D’, BE > B’E’ and CF > C’F’ are always true.Statement II:(AB2 + BC2 + CA2) / (AD2 + BE2 + CF2) = (A’B’2 + B’C’2 + C’A’2) / (A’D’2 + B’E’2 + C’F’2)Which one of the following is correct in respect of the above statements? |
| A. | Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I. |
| B. | Both Statement I and Statement II are true and Statement II is not the correct explanation of Statement I. |
| C. | Statement I is true but Statement II is false. |
| D. | Statement I is false but Statement II is true. |
| Answer» E. | |