Iklan

Pertanyaan

Salah satu garis singgung yang bersudut 12 0 ∘ terhadap sumbu x positif pada lingkaran dengan ujung diameter titik ( 7 , 6 ) dan ( 1 , − 2 ) adalah ...

Salah satu garis singgung yang bersudut  terhadap sumbu  positif pada lingkaran dengan ujung diameter titik  dan  adalah ...

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

00

:

12

:

07

:

20

Klaim

Iklan

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

persamaan garis singgung lingkaran tersebut adalah .

persamaan garis singgung lingkaran tersebut adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank y end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 12 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank y end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 8 end table.

Pembahasan

Diketahui: Gradien garis singgung: Titik pusat lingkaran: Jari-jari lingkaran: Persamaan garis singgung: Jadi, persamaan garis singgung lingkaran tersebut adalah .

Diketahui:

Sudut space garis space singgung equals 120 degree Titik space diameter equals open parentheses 7 comma 6 close parentheses space dan space open parentheses 1 comma negative 2 close parentheses

Gradien garis singgung:

table attributes columnalign right center left columnspacing 0px end attributes row m equals cell tan space alpha end cell row blank equals cell tan space 120 degree end cell row blank equals cell negative tan space 60 degree end cell row blank equals cell negative square root of 3 end cell end table

Titik pusat lingkaran:

table attributes columnalign right center left columnspacing 0px end attributes row cell P left parenthesis a comma b right parenthesis end cell equals cell 1 half open curly brackets open parentheses 7 comma 6 close parentheses plus open parentheses 1 comma negative 2 close parentheses close curly brackets end cell row blank equals cell 1 half open curly brackets open parentheses 7 plus 1 close parentheses comma open parentheses 6 minus 2 close parentheses close curly brackets end cell row blank equals cell 1 half open parentheses 8 comma 4 close parentheses end cell row blank equals cell open parentheses 4 comma 2 close parentheses end cell end table 

Jari-jari lingkaran:

table attributes columnalign right center left columnspacing 0px end attributes row r equals cell 1 half open parentheses square root of open parentheses 7 minus 1 close parentheses squared plus open parentheses 6 plus 2 close parentheses squared end root close parentheses end cell row blank equals cell 1 half open parentheses square root of 6 squared plus 8 squared end root close parentheses end cell row blank equals cell 1 half open parentheses square root of 36 plus 64 end root close parentheses end cell row blank equals cell 1 half open parentheses square root of 100 close parentheses end cell row blank equals cell 1 half open parentheses 10 close parentheses end cell row blank equals 5 end table 

Persamaan garis singgung:

table attributes columnalign right center left columnspacing 0px end attributes row cell y minus b end cell equals cell m open parentheses x minus a close parentheses plus-or-minus r open parentheses square root of m squared plus 1 end root close parentheses end cell row cell y minus 2 end cell equals cell negative square root of 3 open parentheses x minus 4 close parentheses plus-or-minus 5 open parentheses square root of open parentheses negative square root of 3 close parentheses squared plus 1 end root close parentheses end cell row cell y minus 2 end cell equals cell negative square root of 3 x plus 4 square root of 3 plus-or-minus 5 open parentheses square root of 3 plus 1 end root close parentheses end cell row cell y minus 2 end cell equals cell negative square root of 3 x plus 4 square root of 3 plus-or-minus 5 open parentheses square root of 4 close parentheses end cell row cell y minus 2 end cell equals cell negative square root of 3 x plus 4 square root of 3 plus-or-minus 5 open parentheses 2 close parentheses end cell row cell y minus 2 end cell equals cell square root of 3 x plus 4 square root of 3 plus-or-minus 10 end cell row y equals cell square root of 3 x plus 4 square root of 3 plus-or-minus 10 plus 2 end cell row y equals cell square root of 3 x plus 4 square root of 3 plus 10 plus 2 space atau space y equals square root of 3 x plus 4 square root of 3 minus 10 plus 2 end cell row y equals cell square root of 3 x plus 4 square root of 3 plus 12 space atau space y equals square root of 3 x plus 4 square root of 3 minus 8 end cell end table 

Jadi, persamaan garis singgung lingkaran tersebut adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank y end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 12 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank y end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 8 end table.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

7

Yusadiningrat

Ini yang aku cari!

Iklan

Pertanyaan serupa

Salah satu persamaan garis singgung pada lingkaran ( x − 1 ) 2 + ( y + 3 ) 2 = 20 yang tegak lurus garis x + 2 y − 3 = 0 adalah ....

2

4.3

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02130930000

02130930000

Ikuti Kami

©2025 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia