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The vertices of a triangle an A(1,2), B(...

The vertices of a triangle an `A(1,2), B(-1,3)` and C(3, 4). Let D, E, F divide BC, CA, AB respectively in the same ratio.
Statement I : The centroid of triangle DEF is (1, 3).
Statement II : The triangle ABC and DEF have the same centroid.

A

Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I.

B

Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The area of triangle, having vertices A(1, 1, 1), B(1,2,3)andC(2,3, 1) is:

    A
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    B
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    D
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