Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Find the coordinates of a point A, where AB is the diameter of

Question

Find the coordinates of a point $A$ , where $A B$ is the diameter of a circle whose centre is $(2, - 3)$ and $B$ is $(1, 4)$ .

Views: 794 students

Found 8 tutors discussing this question

Emma Discussed

Find the coordinates of a point

A

, where

A B

is the diameter of a circle whose centre is

(2, - 3)

and

B

(1, 4)

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Let the coordinates of

A

(x, y)

A B

is a diameter of the circle then Midpoint of

A B

is center of the circle which is

(2, - 3

)

Mid point of A and B

= (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})

∴ (2, - 3) = (\frac{x + 1}{2}, \frac{y + 4}{2})

\Rightarrow \frac{x + 1}{2} = 2

\Rightarrow x + 1 = 4 \Rightarrow x = 3

\Rightarrow \frac{y + 4}{2} = - 3

\Rightarrow y + 4 = - 6

\Rightarrow y = - 10

∴

Coordinates of

A

(3, - 10)

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Find the coordinates of a point $A$ , where $A B$ is the diameter of a circle whose centre is $(2, - 3)$ and $B$ is $(1, 4)$ .
Answer Type	Text solution:1
Upvotes	150