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 1 Solution Fall 2021 | MTH101 Assignment 1 Solution 2022
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Assignment No. 1
Semester: Fall 2021
Question:
Consider the equation of a circle x^{2}-2x+y^{2}-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 Solution Fall 2021 Assignment#01 one more file idea
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