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In the following figure (not a scale ) ABCD is a rectangle , `BC =24 cm, DP=10 cm and CD=15 cm` Then, AQ and CQ respectively are _________.

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In the following figure (not a scale ) ABCD is a rectangle , `BC =24 cm, DP=10 cm and CD=15 cm` Then, AQ and CQ respectively are _________.
image
A. 39 cm , 13 cm
B. 13 cm , 12 cm
C. 25 cm , 13 cm
D. 39 cm , 12 cm
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Correct Answer - D
(i) Use Pythagoras theorem to find AP.
Triangle QAB and triangle QPC are similar. `therefore (QP)/(PA)=(QC)/(CB)`
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