Class 10 Exam > Class 10 Questions > A pole has to be erected at a point on the bo...
Start Learning for Free
A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected?
Verified Answer
A pole has to be erected at a point on the boundary of a circular park...
Let P be the position of the pole and A and B be the opposite fixed gates.
PA - PB = 7 m
⇒ a - b = 7
⇒ a = 7 + b ..(1)
In Δ PAB,
AB^2 = AP^2 + BP^2
⇒ (17) = (a)^2 + (b)^2
⇒ a^2 + b^2 = 289
⇒ Putting the value of a = 7 + b in the above,
⇒ (7 + b)^2 + b^2 = 289
⇒ 49 + 14b + 2b^2 = 289
⇒ 2b^2 + 14b + 49 - 289 = 0
⇒ 2b^2 + 14b - 240 = 0
Dividing the above by 2, we get.
⇒ b^2 + 7b - 120 = 0
⇒ b^2 + 15b - 8b - 120 = 0
⇒ b(b + 15) - 8(b + 15) = 0
⇒ (b - 8) (b + 15) = 0
⇒ b = 8 or b = -15
Since this value cannot be negative, so b = 8 is the correct value.
Putting b = 8 in (1), we get.
a = 7 + 8
a = 15 m
Hence PA = 15 m and PB = 8 m
So, the distance from the gate A to pole is 15 m and from gate B to the pole is 8 m
This question is part of UPSC exam. View all Class 10 courses
|
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected?
Question Description
A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? 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 pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected?.
A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? 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 pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected?.
Solutions for A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? defined & explained in the simplest way possible. Besides giving the explanation of
A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected?, a detailed solution for A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? has been provided alongside types of A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? theory, EduRev gives you an
ample number of questions to practice A pole has to be erected at a point on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gate A and B on the boundary is 7 m .Is it possible to do so ?If yes , at what distance from the two gates should the pole be erected? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup