Krivulje drugog reda

Krivulje drugog reda

Assessment

Assessment

Created by

Robert Gortan

Mathematics

10th Grade - University

2 plays

Hard

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11 questions

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1.

Multiple Choice

1 min

1 pt

(DM-12-j) Zadan je skup svih točaka koje su jednako udaljene od točke T(4,0) i pravca x = −4. Koja je to krivulja?

elipsa

hiperbola

parabola

2.

Multiple Choice

2 mins

1 pt

Odredi skup točaka ravnine za koje je razlika udaljenosti od točaka F1(−5,0) i F2(5,0) jednaka 8.

9x2 + 16y2 = 144

9x2 - 16y2 = 144

16x2 - 9y2 = 144

16x2 - 9y2 = 144

3.

Multiple Choice

1 min

1 pt

Media Image

(DM16-lj)Kojom je od navedenih jednadžba određen skup točaka prikazan u koordinatnome sustavu na slici?

y2=2xy^2=2x

(x1)2+(y2)2=1\left(x-1\right)^2+\left(y-2\right)^2=1

x220+y25=1\frac{x^2}{20}+\frac{y^2}{5}=1

x23y212=1\frac{x^2}{3}-\frac{y^2}{12}=1

4.

Multiple Choice

1 min

1 pt

Ako je udaljenost točke T elipse 4x2 + 9y2 = 1 do jednog njenog fokusa jednaka 0.75, onda je udaljenost te točke do drugog fokusa

0.75

0.50

0.40

0.25

5.

Multiple Choice

2 mins

1 pt

(DM10-lj) Parabola zadana jednadžbom y2 = 2px prolazi točkom T(3,3) . Odredite p.

3/2

3/4

2/3

4/3

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