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Question

P (2, 1), Q (2, 5) and R (k, 5) are the three vertices of ΔPQR in which Q=90. If the area of ΔPQR is 10 unit square , the value of "k" is:

A
5
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B
6
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C
7
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D
8
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Solution

The correct option is C 7
QR=k2
PQ=4
Area=12×QR×PQ
10=12×(k2)(4)
5=k2
k=7

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