UrbanPro

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

Let P be an interior point of an equilateral triangle ABC, such that AP^2 = BP^2 + CP^2, then find the value of 8{sin(

Asked by Last Modified  

Follow 0
Answer

Please enter your answer

The angle BPC is double of angle A. We know the angle at A is 60 degrees (since equilateral) So < BPC = 120 degrees 8 { sin (
Comments

6
Comments

Tutor

2
Comments

M.Sc.

Without loss of generality may assume that the sides of the triangle have length 1. May choose the coordinate axes so that A, B and C have coordinates (0,0), (1,0) and ( 1/2,root(3)/2 ). Let (x,y) be the coordinates of the point P. Then x^2+y^2 = (x-1)^2+y^2+(x-1/2)^2+(y-root(3)/2)^2 . i.e. x^2-3x+5/4+(y-root(3)/2)^2...
read more
Without loss of generality may assume that the sides of the triangle have length 1. May choose the coordinate axes so that A, B and C have coordinates (0,0), (1,0) and ( 1/2,root(3)/2 ). Let (x,y) be the coordinates of the point P. Then x^2+y^2 = (x-1)^2+y^2+(x-1/2)^2+(y-root(3)/2)^2 . i.e. x^2-3x+5/4+(y-root(3)/2)^2 = 0. or (x-3/2)^2+(y-root(3)/2)^2 = 1. Thus the locus of the point P is a circle of radius 1 with the center at the point D with coordinates (3/2,root(3)/2). Clearly ABDC is a parallelogram and so the read less
Comments

M.Sc.

Without loss of generality may assume that the sides of the triangle have length 1. May choose the coordinate axes so that A, B and C have coordinates (0,0), (1,0) and ( 1/2,root(3)/2 ). Let (x,y) be the coordinates of the point P. Then x^2+y^2 = (x-1)^2+y^2+(x-1/2)^2+(y-root(3)/2)^2 . i.e. x^2-3x+5/4+(y-root(3)/2)^2...
read more
Without loss of generality may assume that the sides of the triangle have length 1. May choose the coordinate axes so that A, B and C have coordinates (0,0), (1,0) and ( 1/2,root(3)/2 ). Let (x,y) be the coordinates of the point P. Then x^2+y^2 = (x-1)^2+y^2+(x-1/2)^2+(y-root(3)/2)^2 . i.e. x^2-3x+5/4+(y-root(3)/2)^2 = 0. or (x-3/2)^2+(y-root(3)/2)^2 = 1. Thus the locus of the point P is a circle of radious 1 with the centre at the point D with coordinates (3/2,root(3)/2). It passes through B and C. Clearly ABDC is a parallelogram and so the read less
Comments

Math Magician

6
Comments

View 4 more Answers

Related Questions

What are the differences between anode and cathode?
Anode and cathode are two terms that are often used interchangeably with positive and negative in batteries. The anode, by definition, is the electrode where electricity flows into. In contrast, the cathode...
S.meenakshi
0 0
8
Which documents are required to be submitted to the bank for taking a house loan?
Identity Proof: Passport/ Driving License/ Voter ID/ PAN Address Proof: License/ Registered Rent Agreement/ Electricity Bill (up to 3 months old), Passport Employment Appointment Letter: Required if the...
Pavithra
0 0
9

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Class 11- C++ (Classes and objects)
C++ has an advantage over C, which is the primary reason why C became obsolete. The concept of Object Orientation is the missing link which connects or enhances our programming approach more towards the...
P

Escalation Clause in contract costing.
Meaning: In Fixed Price Contracts, the contract price is fixed and pre-determined. If there is an increase in prices of materials, rates of labour etc. during the period of execution of a contract,...

For IIT / NEET Aspirants: The Acid Dissociation Constant Pka
The acid dissociation constant Ka is a quantitative measure of the strength of an acid in the solution. Pka: A larger Ka value means a stronger tendency to dissociate a proton, and thus, it means the...

Best Method To Study * Effective Utilization Of Time*
We often sit for long hours to study and at the end of it, we might feel unsatisfied. The time duration of study does not matter, the productivity does. A powerfully curated method that is tried and...
N

Get smarter in physics
Hi all, As we all know Physics is a conceptual subject and if you do the plane reading you will learn nothing.Its subject which can be related with numerics, practicals and relation with the happening...

Recommended Articles

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more