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In a circle of radius 2 units, a diameter AB intersects a chord of length 2 units perpendicular at P. If AP > BP, then AP is equal to 
  • a)
    (2 + √5) units
  • b)
    (2 + √3) units
  • c)
    (2 + √2) units
  • d)
    3 units
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a circle of radius 2 units, a diameter AB intersects a chord of len...

Let the centre of the circle be O
PC = PD = CD/2 [∵ Perpendicular drawn from centre bisects the chord]
⇒ PC = 1 unit
In ΔOPC
OC2 = OP2 + PC2 [∵ Pythagoras theorem]
⇒ 22 = OP2 + 12
⇒ OP = √3
∴ AP = OA + OP = 2 + √3 units [∵ OA = radius]
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In a circle of radius 2 units, a diameter AB intersects a chord of length 2 units perpendicular at P. If AP > BP, then AP is equal toa)(2 + √5) unitsb)(2 + √3) unitsc)(2 + √2) unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer?
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In a circle of radius 2 units, a diameter AB intersects a chord of length 2 units perpendicular at P. If AP > BP, then AP is equal toa)(2 + √5) unitsb)(2 + √3) unitsc)(2 + √2) unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a circle of radius 2 units, a diameter AB intersects a chord of length 2 units perpendicular at P. If AP > BP, then AP is equal toa)(2 + √5) unitsb)(2 + √3) unitsc)(2 + √2) unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a circle of radius 2 units, a diameter AB intersects a chord of length 2 units perpendicular at P. If AP > BP, then AP is equal toa)(2 + √5) unitsb)(2 + √3) unitsc)(2 + √2) unitsd)3 unitsCorrect answer is option 'B'. Can you explain this answer?.
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