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 A tangent PA is drawn from an external point P to a circle of radius 3√2 cm such that the distance of the point P from O is 6 cm as shown figure. The value of ∠APO is
  • a)
    30°
  • b)
    60°
  • c)
    45°
  • d)
    75°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A tangent PA is drawn from an external point P to a circle of radius 3...
The correct answer is c
In right angled triangle,  OAP
sin of angle APO = AO/OP = 1/root2
sin 45 = 1/root2
angle APO = 45 degree
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A tangent PA is drawn from an external point P to a circle of radius 3...
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Community Answer
A tangent PA is drawn from an external point P to a circle of radius 3...
We know that, the tangent at any point of a circle is perpendicular to the radius through the point of contact.
So ∠A = 90
In ∆AOP
Perpendicular/Hypotenuse= Sin theta
OA/OP = Sin P
3√2/6 = Sin P
Sin P = √2/2
Sin P = 1/√2
Sin P = Sin 45
∠P = 45
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A tangent PA is drawn from an external point P to a circle of radius 3√2 cm such that the distance of the point P from O is 6 cm as shown figure. The value of ∠APO is​a)30°b)60°c)45°d)75°Correct answer is option 'C'. Can you explain this answer?
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A tangent PA is drawn from an external point P to a circle of radius 3√2 cm such that the distance of the point P from O is 6 cm as shown figure. The value of ∠APO is​a)30°b)60°c)45°d)75°Correct 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 A tangent PA is drawn from an external point P to a circle of radius 3√2 cm such that the distance of the point P from O is 6 cm as shown figure. The value of ∠APO is​a)30°b)60°c)45°d)75°Correct 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 A tangent PA is drawn from an external point P to a circle of radius 3√2 cm such that the distance of the point P from O is 6 cm as shown figure. The value of ∠APO is​a)30°b)60°c)45°d)75°Correct answer is option 'C'. Can you explain this answer?.
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