Quiz about 2025_Latihan USP Mat Minat

Question 1

HP dari $$\log_2x^{-2+\log_2x}=3$$ adalah ...

Accepted Answer

$$\left\{\frac{1}{2},8\right\}$$

Answer

$$\left\{2,8\right\}$$

Answer

$$\left\{\frac{1}{8},2\right\}$$

Answer

$$\left\{2,4\right\}$$

Answer

$$\left\{2,8\right\}$$

Question 2

HP dari $$2^x+\frac{1}{2^{x-3}}=9$$ adalah ...

Accepted Answer

$$\left\{0,3\right\}$$

Answer

$$\left\{1,8\right\}$$

Answer

$$\left\{1,3\right\}$$

Answer

$$\left\{0,2\right\}$$

Answer

$$\left\{1,2\right\}$$

Question 3

HP dari $$\left|3x\right|-\left|x-4\right|\ge0$$ adalah ...

Accepted Answer

$$x\le-2\ atau\ x\ge1$$

Answer

$$-2\le x\le1$$

Answer

$$-2\le x\le-1$$

Answer

$$x\le-1\ atau\ x\ge2$$

Answer

$$-1\le x\le2$$

Question 4

HP dari $$\left|\frac{x-1}{2x-1}\right|\le3$$ adalah ...

Accepted Answer

$$x\le\frac{2}{5}\ atau\ x\ge\frac{4}{7}$$

Answer

$$\frac{2}{5}\le x\le\frac{4}{7},\ x e\frac{1}{2}$$

Answer

$$\frac{2}{5}\le x\le\frac{4}{7}$$

Question 5

Daerah penyelesaian dari $$x^2+y^2\le16;x^2+y\ge1$$

Accepted Answer

Question 6

DP dari $$y\le\sqrt[]{-x^2+25};x^2-y\ge4$$ adalah ...

Accepted Answer

Question 7

Nilai dari $$\frac{\cos130\degree-\cos10\degree}{\sin80\degree+\sin40\degree}=...$$

Accepted Answer

$$-1$$

Answer

$$1$$

Question 8

Nilai sin x yang memenuhi persamaan $$\cos2x\degree+5\cos x\degree+3=0,0\degree\le x\le180\degree$$ adalah ...

Accepted Answer

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

Answer

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

Answer

$$\frac{1}{2}$$

Answer

$$-\frac{1}{2}$$

Question 9

Nilai tan x yang memenuhi persamaan $$\sin2x\degree+\cos x\degree=0,\ 0\degree\le x\le180\degree$$ adalah ...

Accepted Answer

$$\frac{1}{3}\sqrt[]{3}$$

Answer

$$-\frac{1}{3}\sqrt[]{3}$$

Answer

$$-\sqrt[]{3}$$

Answer

$$\sqrt[]{3}$$

Question 10

Persamaan garis singgung pada lingkaran $$x^2+y^2-4x+6y-12=0$$ yang tegak lurus dengan garis $$-3x+4y=6$$

adalah ... .

Accepted Answer

$$4x+3y=24$$

Accepted Answer

$$4x+3y=-26$$

Answer

$$4x-3y=-8$$

Answer

$$4x-3y=42$$

Question 11

Suku banyak $$F\left(x\right)=2x^4-x^3-x^2+mx-12$$ mempunyai factor $$\left(x-2\right)$$ , tentukan nilai $$m$$ :

Accepted Answer

$$16$$

Answer

$$-16$$

Answer

$$-12$$

Answer

$$12$$

Answer

$$-15$$

Question 12

Suku banyak $$F\left(x\right)=2x^4-x^3-x^2+mx-12$$ mempunyai factor $$\left(x-2\right)$$ , factor yang lain adalah :

Accepted Answer

$$\left(x-1\right)$$

Accepted Answer

$$\left(x-3\right)$$

Accepted Answer

$$\left(x+2\right)$$

Answer

$$\left(x+1\right)$$

Answer

$$\left(x+3\right)$$

Question 13

Persamaan $$2x^3+\left(p-1\right)x^2-13x+6=0$$ mempunyai akar dengan salah satu akarnya adalah

kebalikan akar yang lain. Nilai p yang sesuai adalah ....

Accepted Answer

$$2$$

Answer

$$-2$$

Answer

$$3$$

Answer

$$-3$$

Answer

$$-4$$

Question 14

Nilai $$\lim_{x\rightarrow\infty}x\left(1-\cos\ \frac{1}{\sqrt[]{x}}\right)$$ adalah ...

Accepted Answer

$$\frac{1}{2}$$

Answer

$$-1$$

Answer

$$1$$

Answer

$$-\frac{1}{2}$$

Answer

0

Question 15

$$\lim_{x\rightarrow0}\ \frac{1-\cos x}{\cos^24x-1}=....$$

Accepted Answer

$$-\frac{1}{32}$$

Answer

$$-\frac{1}{64}$$

Answer

$$\frac{1}{64}$$

Answer

$$\frac{1}{32}$$

Answer

$$\frac{1}{16}$$

Question 16

Turunan pertama dari $$y=arc\ \sin\ \left(\frac{2}{x}\right)$$ adalah ...

Accepted Answer

$$y$$

Answer

$$y$$

Answer

$$y$$

Answer

$$y$$

Question 17

$$\frac{dy}{dx}$$ dari $$x=\sin^22t;\ y=\cos\ 4t$$ dengan t parameter adalah ...

Accepted Answer

$$-2$$

Answer

2

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$-4$$

Question 18

Turunan pertama dari $$y^2+3xy-21=0$$ adalah ...

Accepted Answer

$$y$$

Answer

$$y$$

Answer

$$y$$

Answer

$$y$$

Answer

$$y$$

Question 19

$$\int_{ }^{ }3\cos5x\sin13xdx=....$$

Accepted Answer

$$-\frac{1}{12}\cos18x-\frac{3}{16}\cos8x+c$$

Answer

$$\frac{1}{12}\cos18x+\frac{3}{16}\cos8x+c$$

Answer

$$\frac{1}{12}\cos18x-\frac{3}{16}\cos8x+c$$

Answer

$$-\frac{1}{12}\cos18x+\frac{3}{16}\cos8x+c$$

Question 20

$$\int_{ }^{ }\ \frac{\sec^2x}{\sqrt[]{9- an^2x}}dx=....$$

Accepted Answer

$$arc\ \sin\left(\frac{ an x}{3} ight)+c$$

Answer

$$\frac{1}{3}arc\ \sin\left(\frac{ an x}{3} ight)+c$$

Answer

$$\frac{1}{3}arc\ \sin\left(\frac{\sec x}{3}\right)+c$$

Answer

$$arc\ \sin\left(\frac{\sec x}{3}\right)+c$$

Question 21

Question 21.

Accepted Answer

2025_Latihan USP Mat Minat

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