
ASTS Matematika Lanjut
Authored by DITYA RAHMAWATI
Mathematics
12th Grade
Used 5+ times

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15 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 4 pts
Persamaan lingkaran berpusat di titik O (0,0) yang berdiameter 6√5 adalah ...
x2 + y2 = 30
x2 + y2 = 45
x2 + y2 = 90
x2 + y2 = 150
x2 + y2 = 180
2.
MULTIPLE CHOICE QUESTION
5 mins • 5 pts
Persamaan lingkaran tersebut adalah ...
Ket : Pusat lingkaran (3,-1) dan melewati titik (1 , 1)
x2 + y2 + 6x +2y + 2 = 0
x2 + y2 + 6x +2y - 2 = 0
x2 + y2 + 6x - 2y + 2 = 0
x2 + y2 - 6x + 2y + 2 = 0
x2 + y2 - 6x +2y - 2 = 0
3.
MULTIPLE CHOICE QUESTION
10 mins • 7 pts
Diketahui koordinat titik A (4,-1) dan B (-6,-7). Jika ruas garis AB merupakan diameter lingkaran L, persamaan lingkaran L adalah ...
(x+1)2 + (y+4)2 = 34
(x+1)2 + (y-4)2 = 34
(x-1)2 + (y-4)2 = 34
(x+4)2 + (y+1)2 = 34
(x-4)2 + (y-1)2 = 34
4.
MULTIPLE CHOICE QUESTION
5 mins • 7 pts
Koordinat titik pusat dan panjang jari-jari lingkaran 4x2 + 4y2 + 8x - 16y - 16 = 0 adalah ...
(3 , -6) dan 9
(1 , 2) dan 3
(1 , -2) dan 3
(-1 , 2) dan 3
(-3 , 6) dan 9
5.
MULTIPLE CHOICE QUESTION
10 mins • 7 pts
Diketahui koordinat
Titik A (1 , 5)
Titik B (-2, 4)
Titik C (-4 , -4)
Koordinat titik yang berada di luar lingkaran x2 + y2 = 26 adalah ...
A
B
C
A dan B
B dan C
6.
MULTIPLE CHOICE QUESTION
5 mins • 7 pts
Diketahui persamaan lingkaran L : x2 + y2 + 10x - 4y - 11 = 0. Jika titik T (-3,a) terletak pada lingkaran L, nilai a yang memenuhi adalah ...
-8 atau 4
8 atau -4
-16 atau 2
16 atau -2
16 atau 2
7.
MULTIPLE CHOICE QUESTION
5 mins • 7 pts
Kedudukan garis k : x + 2y = 7 terhadap lingkaran L : (x + 1)2 + (y - 2)2 = 8 adalah ...
Garis k menyinggung lingkaran
Garis k memotong lingkaran di dua titik
Garis k tidak memotong lingkaran
Garis k tidak memiliki gradien
Kedudukan garis k tidak bisa disimpulkan
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