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Directions: Kindly study the following question carefully and choose the right answer:
N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is
- a)65 cm
- b)122 cm
- c)35 cm
- d)102 cm
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Directions: Kindly study the following question carefully and choose t...
Radius = 7 cm
Diameter, AB = 14 cm
PB = 12 cm
Diameter, AB = 14 cm
PB = 12 cm
∠APB = 90° [∵ angle in the semi circle]
In ΔAPB, By pythagoras theorem
In ΔAPB, By pythagoras theorem
Let, AN = x cm ⇒ NB = (14 – x) cm
In ΔAPN, By pythagoras theorem
PN2 = AP2 – AN2 = 52 – x2 ...(i)
Again, In ΔPNB, By pythagoras theorem
PN2 = PB2 – NB2 = 144 – (14 – x)2 ...(ii)
From Equation (i) and (ii),
52 – x2 = 144 – 196 + 28x – x2
28x = 104
In ΔAPN, By pythagoras theorem
PN2 = AP2 – AN2 = 52 – x2 ...(i)
Again, In ΔPNB, By pythagoras theorem
PN2 = PB2 – NB2 = 144 – (14 – x)2 ...(ii)
From Equation (i) and (ii),
52 – x2 = 144 – 196 + 28x – x2
28x = 104
Hence, option D is correct.
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Community Answer
Directions: Kindly study the following question carefully and choose t...
Radius = 7 cm
Diameter, AB = 14 cm
PB = 12 cm
Diameter, AB = 14 cm
PB = 12 cm
∠APB = 90° [∵ angle in the semi circle]
In ΔAPB, By pythagoras theorem
In ΔAPB, By pythagoras theorem
Let, AN = x cm ⇒ NB = (14 – x) cm
In ΔAPN, By pythagoras theorem
PN2 = AP2 – AN2 = 52 – x2 ...(i)
Again, In ΔPNB, By pythagoras theorem
PN2 = PB2 – NB2 = 144 – (14 – x)2 ...(ii)
From Equation (i) and (ii),
52 – x2 = 144 – 196 + 28x – x2
28x = 104
In ΔAPN, By pythagoras theorem
PN2 = AP2 – AN2 = 52 – x2 ...(i)
Again, In ΔPNB, By pythagoras theorem
PN2 = PB2 – NB2 = 144 – (14 – x)2 ...(ii)
From Equation (i) and (ii),
52 – x2 = 144 – 196 + 28x – x2
28x = 104
Hence, option D is correct.
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Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer?
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Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer?.
Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
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Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: Kindly study the following question carefully and choose the right answer:N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B isa)65 cmb)122 cmc)35 cmd)102 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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