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MTH101 Assignment 01 Fall 2021 Solution / Discussion

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This is MTH101 - Assignment No 01 - Fall 2021, can you help us to solve the assignment

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MTH101 Assignment 01 Fall 2021 Solution file link 

MTH101-Assignment-1-Solution-Fall-2021-By-VU-Ning.pdf

Assignment No.  1
Semester: Fall 2021

Question:

Consider the equation of a circle x2-2x+y2-4y-4=0. If the line 

2x- y+a=0 is its diameter. Then find the value of a.

Solution :

x²-2x+y²-4y-4=0 …… (1) 

General Form is 

x²+y²+2gx+2fy+c=0   ……. (2)

Comparing eq 1 and 2

2g=-2 g=-1

2f=-4

f=-2

We know that

Center (-g, -f)

 C (1, 2)

Diameter lines pass through the point of the circle of the center of 

circle, So the center point is satisfying the line.

2x-y+a=0 

2(1)-(2) +a=0

2-2+a=0

-2+a= -2

a = -2+2

a=0

MTH101 Assignment 1 Fall 2021 solution idea:

 

Question:

(X²-2x+y²-4y-4=0) is the line and (2x-y+a=0) is its Diameter Then Find the Value Of “a”

Solution:

MTH101 Solution Fall 2021 Assignment#01 one more file idea

Fall%202021_MTH101_1_Solution.docx

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