Quiz about Persamaan Garis Singgung dan Garis Normal pada Kurva

Question 1

Grafik fungsi $$f\left(x\right)=x^2-4x+5$$ menyinggung gari g di $$x=\ -1$$ . Gradien garis g adalah ...

Accepted Answer

Answer

Answer

Answer

4

Answer

6

Question 2

Garis k menyinggung grafik fungsi $$f\left(x\right)=3x^2-x+6$$ di titik (2, 16). Persamaan garis k adalah ...

Accepted Answer

$$y=11x\ -6$$

Answer

$$y=2x\ -16$$

Answer

$$y=2x\ +16$$

Answer

$$y=11x\ \ +\ 6$$

Answer

$$y=11x\ +16$$

Question 3

Persamaan garis singgung kurva dengan persamaan $$y=\left(x^2+1\right)^2$$ di titik yang berabsis 1 adalah ...

Accepted Answer

$$y=8x\ -4$$

Answer

$$y=8x\ +\ 10$$

Answer

$$y=8x\ +\ 8$$

Answer

$$y=8x\ +\ 4$$

Answer

$$y=8x\ -\ 10$$

Question 4

Persamaan garis singgung pada parabola $$y=x^2+\frac{13}{2}x+\frac{29}{2}$$ yang sejajar dengan garis $$x-2y+3=0$$ adalah ...

Accepted Answer

$$2y-x-11=0$$

Answer

$$x-2y-9=0$$

Answer

$$x+2y-13=0$$

Answer

$$2y+x+12=0$$

Answer

$$2y-x-1=0$$

Question 5

Persamaan garis normal pada kurva $$y=x^3-5x^2+7$$ di titik (2,-5) adalah ...

Accepted Answer

$$8y-x+42=0$$

Answer

$$8y+x+42=0$$

Answer

$$8x-y+11=0$$

Answer

$$8x+y-11=0$$

Answer

$$8x+y+11=0$$

Question 6

Persamaan garis normal kurva $$y=\frac{1}{3}x^3+x^2-x+\frac{1}{3}$$ yang sejajar garis $$x-2y+2=0$$ adalah ...

Accepted Answer

2x + y = 0

Answer

2x - y = 0

Answer

x - 2y + 5 = 0

Answer

x - 2y - 5 = 0

Answer

x + 2y + 5 = 0

Question 7

Persamaan garis normal pada kurva $$y=\frac{4}{x^3}$$ di titik berordinat $$\frac{1}{2}$$ adalah ...

Accepted Answer

8x - 6y - 13 = 0

Answer

8x + 6y + 13 = 0

Answer

8x + 6y - 13 = 0

Answer

6x + 8y - 16 = 0

Answer

6x - 8y - 16 = 0

Question 8

Persamaan garis normal kurva $$f\left(x\right)=-2x^3+6x^{2\ }$$ di titik A adalah 6y + x = 25. Koordinat titik A adalah ...

Accepted Answer

$$\left(1,\ 4\right)$$

Answer

$$\left(-1,\ 2\right)$$

Answer

$$\left(-1,\ 4\right)$$

Answer

$$\left(1,\ 2\right)$$

Answer

$$\left(2,\ 1\right)$$

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