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In Fig. 8.4, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm. Then radius of the circle is
  • a)
    10 cm
  • b)
    7.5 cm
  • c)
    5 cm
  • d)
    2.5 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In Fig. 8.4, the pair of tangents AP and AQ drawn from an external poi...
Construction
join op and oq

now
in quadrilateral opaq
angle apo=oqa(tangent and point of contact)
now adding all angles and subtracting from 360
we get
angle poq=90
we now observe that the quadrilateral is square
therefore oq=op=pa=AQ
it implies oq=op=5cm
and op and oq are radii
therefore radius =5cm
Free Test
Community Answer
In Fig. 8.4, the pair of tangents AP and AQ drawn from an external poi...
AP = AQ=5cm [given]

join OP and OQ. Then
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Now APOQ is a rectangle
AQ=OP =5cm
And OP is the radius.
Hence the length of radius is 5cm.
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In Fig. 8.4, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm. Then radius of the circle isa)10 cmb)7.5 cmc)5 cmd)2.5 cmCorrect answer is option 'C'. Can you explain this answer?
Question Description
In Fig. 8.4, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm. Then radius of the circle isa)10 cmb)7.5 cmc)5 cmd)2.5 cmCorrect answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In Fig. 8.4, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm. Then radius of the circle isa)10 cmb)7.5 cmc)5 cmd)2.5 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Fig. 8.4, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm. Then radius of the circle isa)10 cmb)7.5 cmc)5 cmd)2.5 cmCorrect answer is option 'C'. Can you explain this answer?.
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