We are to find the equation of a circle conter at (7₁-6) and that is tangent to the line with equation 2n-37-19 = 0 Here the given point is (7,-6) and the given tongent line is 22-37-19=0 is The perpendicular distance from (7₁-6) to the line 2m-37-19 = 0 12(7)-3(-6)-191 = = √2+(-3)+ 114+18-19) So equation of the circle 2x-3y-19:0 √4+9 13 (x-7)~ + (9-(-6))² = (√13) ~ - Equation of the circle is, x² + y²-14x+12y + 72 =0 is √13 or x²-14x +49 + y²₁+12 7+36 = 13 or n²+ y²-14m +12y +49 +36-13 = 0 or, n²+y^²-142 +12y + 72 = 0 (7₁-6) 2. ends of The points A (-7,-4) and B (8,-1) are the diameter of a circle. a Center of the circle is (-7+8, -4++)) Radim = (-1/2)/² ) circle is of the √ (8-12 ) ² + (-1-(-3)* = √( 1² )² + (-1 + ²) ² = √(4) + (-+-)* = 1/² √225+9 = 1/2 √234 - 3-√26 2 Equation of the circle or x²-x+ ² + y²+ 5y + ²4 234 or, styên t5g 2 or m² + g²-n + 5y or, or, (x-1) ²+ (a-(-))² = (3-√2²) ² = A(-2-4) 234-1-25 ។ x²+²x+57 = 52 x²+x+57-52 = 0 0 (315)) 234 4 B (8,-1)
We are to find the equation of a circle conter at (7₁-6) and that is tangent to the line with equation 2n-37-19 = 0 Here the given point is (7,-6) and the given tongent line is 22-37-19=0 is The perpendicular distance from (7₁-6) to the line 2m-37-19 = 0 12(7)-3(-6)-191 = = √2+(-3)+ 114+18-19) So equation of the circle 2x-3y-19:0 √4+9 13 (x-7)~ + (9-(-6))² = (√13) ~ - Equation of the circle is, x² + y²-14x+12y + 72 =0 is √13 or x²-14x +49 + y²₁+12 7+36 = 13 or n²+ y²-14m +12y +49 +36-13 = 0 or, n²+y^²-142 +12y + 72 = 0 (7₁-6) 2. ends of The points A (-7,-4) and B (8,-1) are the diameter of a circle. a Center of the circle is (-7+8, -4++)) Radim = (-1/2)/² ) circle is of the √ (8-12 ) ² + (-1-(-3)* = √( 1² )² + (-1 + ²) ² = √(4) + (-+-)* = 1/² √225+9 = 1/2 √234 - 3-√26 2 Equation of the circle or x²-x+ ² + y²+ 5y + ²4 234 or, styên t5g 2 or m² + g²-n + 5y or, or, (x-1) ²+ (a-(-))² = (3-√2²) ² = A(-2-4) 234-1-25 ។ x²+²x+57 = 52 x²+x+57-52 = 0 0 (315)) 234 4 B (8,-1)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
TRANSCRIBE THE SOLUTIONS IN DIGITAL FORMAT PLEASE
Transcribed Image Text:we are to find the equation of a circle
Center at (7,-6) and that is tangent to
the line with equation
23.
-³7-
-19 = 0
Here the given point is (7,-6)
and the given tangent line
is
22-37 -19=0
perpendicular distance from (7₁-6) to the
12(7)-3(-6)-191
22-37-19 = 0 is
√2+(-3)
114 +18-19)
The
line
So equation of the circle
or,
or
or
1
=
x² + y²₁²-14m² +12.
127
(x-7)+ (4-6-6)) = (√13) ~
√4+9
13
√13
2x-37-19-01
is
:: Equation of the circle is,
x² + y² = 14x+12y +72=0
+72=0
x²²-14x +49 + y ₁²+12 7+36 = 13
in
1²+ y² _14m +12 y +49 +36-13 = 0
=
√13
(7,-6)
2.
The points A (-7,-4) and 13 (8,-1)
circle.
ends of
diameter of
Center
Radius
or,
=
or,
of
( -748, -4++-1))
2
2
07,
a
or,
or
the
-5
( 1121 )/2/2 )
of
√ (8-1) + (-1-(-3)*
circle is
= √ ( 152 ) ² + (-1 + 2/2 ) ²
=
√(-2) ¹
3√√26
2
Equation of the circle
the
a
circle is.
= 1/² √√225 +9
= = √234 =
-x+
25
tấty tổng
= ₁ + y² +57.
+
4
(x-1) ²+ (1-(²-3))² = (3-√2+²) ²
√√26 2
sty 45g -
=
sĩ tỷ ng
n+
=
a
x² + y² = x + 57:
x² + y² = x + 5y-52=0
A(-7,-4)
= 52
=
234-1-25
។
1
234-4-4
234
4
25
are the
06/12
B3 (8,-1)
Expert Solution
Step 1: Given:
We have to transcribe the solution in digital format.
Step by step
Solved in 3 steps with 18 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
