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MTH101 Assignment Solution # 1 Fall 2021

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MTH101 Assignment Solution # 1 Fall 2021

MTH101 Assignment Solution # 1 Fall 2021

MTH101 Assignment Solution # 1 Fall 2021

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 Solution # 1 Fall 2021

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