Quiz about PAS MATEMATIKA PEMINATAN XI 2023

Question 1

Diketehui $$\cos\ x\ =-\frac{3}{5}\ dan\ 200^0\ \le x\le240^0.\ nilai\ \sin\ 2x+\cos\ 2x\ adalah....$$

Accepted Answer

$$a.\ \frac{17}{25}$$

Answer

$$b.\ \frac{18}{25}$$

Answer

$$c.\ \frac{21}{25}$$

Answer

$$d.\ \frac{33}{25}$$

Answer

$$e.\ \frac{36}{25}$$

Question 2

Himpunan penyelesaian $$\frac{1+\sin x^0}{1-\sin x^0}=3$$ untuk $$0^0\le x\le360^0$$ adalah ....

Accepted Answer

$$c.\ \left\{30^0,\ 150^0\right\}$$

Answer

$$a.\ \left\{30^0,60^0\right\}$$

Answer

$$b.\ \left\{30^0,\ 120^0\right\}$$

Answer

$$d.\ \left\{60^{0^{ }},\ 120^0\right\}$$

Answer

$$e.\ \left\{60^0,150^0\right\}$$

Question 3

Dikatahui $$\sin\ x\ =\ \frac{3}{5}\ dan\ \cos\ y\ =\frac{12}{13},$$ x sudut tumpul dan y sudut lancip. nilai tan (x+y) =....

Accepted Answer

$$b.\ -\frac{16}{63}$$

Answer

$$a.\ -\frac{56}{33}$$

Answer

$$c.\ \frac{8}{63}$$

Answer

$$d.\ \ \frac{16}{63}$$

Answer

$$e.\ \frac{56}{33}$$

Question 4

Diketahui $$\cos\ x\ =\ -\frac{3}{5}dan\ 200^0\le\ x\le240^0$$ , nilai sin 2x + cos 2x adalah....

Accepted Answer

$$a.\ \frac{17}{25}$$

Answer

$$b.\ \frac{18}{25}$$

Answer

$$c.\ \frac{21}{25}$$

Answer

$$d.\ \frac{33}{25}$$

Answer

$$e.\ \frac{40}{25}$$

Question 5

Question 5.

Accepted Answer

$$b.\ x^2+y^2=4$$

Answer

$$a.\ x^2+y^2=2$$

Answer

$$c.\ \ x^2+y^2=8$$

Answer

$$d.\ x^2+y^2=12$$

Answer

$$e.\ x^2+y^2=16$$

Question 6

Lingkaran $$x^2+y^2-6x-2y+a=0$$ melalui titik

(1, 4). Panjang jari-jari lingkaran tersebut . . . .

Accepted Answer

d. 5 satuan

Answer

a. 25 satuan

Answer

b. 20 satuan

Answer

c. 10 satuan

Answer

e. 1 satuan

Question 7

Diketahui persmaan lingkaran L: $$x^2+y^2-8x+2y-3=0.\ salah\ satu\ titik\ yang\ berada\ di\ luar\ lingkran\ L\ adalah....$$

Accepted Answer

b. (3, 4)

Answer

a. (6, 2)

Answer

c. (2, -1)

Answer

d. (1, -4)

Answer

e. (0, -3)

Question 8

Persamaan lingkaran berpusat dititik P (-1, 3) dan berdiameter 6 adalah....

Accepted Answer

$$b.\ x^2+y^2+2x-6y-54=0$$

Answer

$$a.\ x^2+y^2+2x-6y+74=0$$

Answer

$$c.\ x^2+y^2+2x-3y-54=0$$

Answer

$$d.\ x^2+y^2-x+3y-54=0$$

Answer

$$e.\ x^2+y^2-2x-6y-74=0$$

Question 9

Lingkaran L berpusat di titik pusat koordinat dan menyinggung garis x = -2. Persamaan lingkaran L adalah....

Accepted Answer

$$b.\ x^2+y^2=4$$

Answer

$$a.\ x^2+y^2=2$$

Answer

$$c.\ x^2+y^2=8$$

Answer

$$d.\ x^2+y^2=16$$

Answer

$$e.\ x^2+y^2=36$$

Question 10

Salah satu titik yang berada pada lingkaran $$x^2+y^2-4x+12y-12=0$$ adalah....

Accepted Answer

e. (-2, 0)

Answer

a. (3, 2)

Answer

b. (2, 4)

Answer

c. (1, 1)

Answer

d. (-1, 1)

Question 11

Nilai dari $$12\ \cos\ 37,5^0\ \sin\ 7,5^0\ adalah....$$

Accepted Answer

$$e.\ 3\sqrt[]{2}\ -3$$

Answer

$$a.\ \frac{1}{4}\sqrt[]{4}\ -\frac{1}{4}$$

Answer

$$b.\ \frac{1}{2}\sqrt[]{2}\ -\frac{1}{2}$$

Answer

$$c.\ \sqrt[]{2}\ -1$$

Answer

$$d.\ 3\sqrt[]{2}\ -1$$

Question 12

Nilai dari $$\sin\ 15^0-\sin\ 105^0\ adalah....$$

Accepted Answer

$$c.\ -\frac{1}{2}\sqrt[]{2}$$

Answer

$$a.\ \ -\frac{1}{2}\sqrt[]{6}$$

Answer

$$b.\ \ -\frac{1}{4}\sqrt[]{6}$$

Answer

$$d.\ \frac{1}{4}\sqrt[]{6}$$

Answer

$$e.\ \frac{1}{2}\sqrt[]{6}$$

Question 13

Nilai dari $$2\ \sin\ 105^0\ \cos^2\ 105^0-2\ \sin^3\ \cos\ 105^0\ adalah....$$

Accepted Answer

$$c.\ \frac{1}{4}\sqrt[]{3}$$

Answer

$$a.\ \ -\frac{1}{2}\sqrt[]{3}$$

Answer

$$b.\ -\frac{1}{4}\sqrt[]{3}$$

Answer

$$d.\ \frac{1}{2}\sqrt[]{3}$$

Answer

$$e.\ 2\sqrt[]{3}$$

Question 14

Nilai dari $$8\ \sin^215^0-4\ adalah....$$

Accepted Answer

$$a.\ -2\sqrt[]{3}$$

Answer

$$b.\ -2$$

Answer

c. 1

Answer

d. 2

Answer

$$e.\ 2\sqrt[]{3}$$

Question 15

NIlai cos $$15^0$$ adalah....

Accepted Answer

$$a.\ \frac{1}{4}\sqrt[]{6}+\frac{1}{4}\sqrt[]{2}$$

Answer

$$b.\ \frac{1}{4}\sqrt[]{6}+\frac{1}{2}\sqrt[]{2}$$

Answer

$$c.\ \frac{1}{4}\sqrt[]{6}-\frac{1}{4}\sqrt[]{2}$$

Answer

$$d.\ \frac{1}{4}\sqrt[]{6}+\frac{1}{2}\sqrt[]{2}$$

Answer

$$e.\ \frac{1}{4}\sqrt[]{2}-\frac{1}{4}\sqrt[]{6}$$

Question 16

Diketahui persamaan $$1+2\ \cos\ \left(5x+30^0\right)=0.$$ himpunan penyelesaian persamaan tersebut untuk $$270^0\le x\le360^0\ adalah....$$

Accepted Answer

$$a.\ \left\{306^0,\ 330^0\right\}$$

Answer

$$b.\ \left\{306^0,\ 342^0\right\}$$

Answer

$$c.\ \left\{330^0,\ 342^0\right\}$$

Answer

$$d.\ \left\{330^0,\ 345^0\right\}$$

Answer

$$e.\ \left\{330^0,\ 354^0\right\}$$

Question 17

Nilai cos $$\left(-15^0\right)-\sin\ 165^0\ adalah....$$

Accepted Answer

$$e.\ \frac{1}{2}\sqrt[]{2}$$

Answer

$$a.\ \frac{1}{2}\sqrt[]{6}\ +\frac{1}{2}\sqrt[]{2}$$

Answer

$$b.\ \frac{1}{4}\sqrt[]{6}\ +\frac{1}{4}\sqrt[]{2}$$

Answer

$$c.\ \frac{1}{2}\sqrt[]{6}$$

Answer

$$d.\ \frac{1}{2}\sqrt[]{3}$$

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