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Question

If AB is perpendicular to CD and PQ is perpendicular to AB, which of the following is/are true?


A

CD is parallel to PQ

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B

CD is perpendicular to PQ

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C

Both A & B

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D

None of the above are true

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Solution

The correct option is A

CD is parallel to PQ


If we draw everything according to the given question, we get:


In the above figure
Line PQ is perpendicular to AB.
APQ=QPB=90
Line AB is perpendicular to CD.
ABC=ABD=90
Since, the PQB=ABD=90
PQ is parallel to CD or vice-versa.


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