AP = AO + OP = 4 + 8 = 12 cm and AS = 4 cm∴ PS2 = 122 – 42⇒ PS = 8√2 cmNow ΔASP and ΔRQP are similar;∴ AS/RQ = SP/QP⇒ 4/RQ = 8√2/16⇒ RQ = 64/8√2⇒ RQ = 4√2 cm

"> AP = AO + OP = 4 + 8 = 12 cm and AS = 4 cm∴ PS2 = 122 – 42⇒ PS = 8√2 cmNow ΔASP and ΔRQP are similar;∴ AS/RQ = SP/QP⇒ 4/RQ = 8√2/16⇒ RQ = 64/8√2⇒ RQ = 4√2 cm

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In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circle. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

SRMJEEE Analytical Geometry in SRMJEEE 11 months ago

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In the figure,AP = AO + OP = 4 + 8 = 12 cm and AS = 4 cm∴ PS2 = 122 – 42⇒ PS = 8√2 cmNow ΔASP and ΔRQP are similar;∴ AS/RQ = SP/QP⇒ 4/RQ = 8√2/16⇒ RQ = 64/8√2⇒ RQ = 4√2 cm

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Posted on 31 Oct 2024, this text provides information on SRMJEEE related to Analytical Geometry in SRMJEEE. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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