The document describes a game where the player must solve puzzles related to ellipses to save kidnapped cardinals and stop an antimatter bomb from exploding. It provides equations and clues to determine the location of each cardinal. By correctly answering questions about the standard form and locations related to ellipses, the player saves each cardinal and ultimately finds the lair of the secret society responsible, the Illuminati.

1. ANGELS &
DEMONS

2. At the present
time...

3. Enclave within the
City of Rome…

4. …is the Vatican City
where the papacy
exists.
But one tragic day, the
unexpected occurred…

5. The present pope suddenly
passed away… mysteriously.

6. The papal conclave was left with no
choice but to convene to elect the
new pontiff.

7. These are the Cardinals who
are considered to be the most
likely candidates in the
election

8. UNFORTUNATELY

9. the secret society of legend, long thought
to be extinct, seems to have resurfaced

11. The four cardinals were held captives
and it was later revealed that the
Illuminati is the one responsible for it
and they have also stolen a canister
containing a quarter of a gram of
antimatter—an extremely dangerous
substance with immense destructive
potential comparable to a small nuclear
weapon, a potential unleashed upon

12. THE CARDINALS WILL BE KILLED ONE BY ONE IN
THEIR DESIGNATED CHURCH AND AFTER WHICH,
AS THE CLOCK STRIKES TWELVE, THE ANTIMATTER WILL EXPLODE AND DESTROY
EVERYTHING WITHIN ITS REACH...

13. The lives of the four
cardinals…

15. VATICAN AND ITS
PEOPLE…

17. SAVE THEM AND THE WORLD
FROM DESTRUCTION…
CAN YOU?... .
WILL YOU?....

18. IT’S UP TO YOU

24. You have to solve each problem correctly to
proceed to the next location, find the next
clue and solve the mystery.

25. Each cathedral corresponds to an answer.
You have to click the cathedral that
corresponds to your answer.

26. Let the quest begin!!!

27. The path of light is
laid, the sacred test,
Let angels guide you
on your lofty quest

30. Where will the first crime happen?...
To know, answer this…

31. It is the set of all points in the plane and
the sum of whose distances from two fixed
points is constant?
ellipse
conics
parabola
hyperbola
View Answer

32. ELLIPSE

33. GREAT!!! YOU HAVE UNVEILED
THE FIRST LOCATION. NOW, YOU
HAVE TO ANSWER CORRECTLY
THIS PROBLEM IN ORDER TO
SAVE THE FIRST CARDINAL AND
GET THE CLUE THAT WILL LEAD
YOU TO YOUR NEXT LOCATION.

34. What is the perpendicular bisector of the
major axis of an ellipse?
X-axis
Major axis
Minor axis
Y- axis
View Answer

35. MINOR AXIS

36. WONDERFUL!!! YOU HAVE
SAVED THE FIRST CARDINAL.
NOW, YOU HAVE TO ANSWER
CORRECTLY THIS PROBLEM IN
ORDER TO GET TO THE NEXT
LOCATION.

37. What is the standard form of the equation
of an ellipse which the foci on the x-axis
and center at the origin?
y=mx+b
x² + y²=1
a² b²
x² + y²=1
b² a²
ax²+bx+c=o
View Answer

38. x² + y²=1
a² b²

39. fantastic!!! YOU HAVE
UNVEILED THE second
LOCATION. NOW, YOU HAVE
TO ANSWER CORRECTLY
THIS PROBLEM IN ORDER
TO SAVE THE second
CARDINAL AND GET THE
next CLUE THAT WILL LEAD
YOU TO YOUR NEXT
LOCATION.

40. What is the standard form of the equation of
an ellipse with center at (h,k) and the foci
at (h,k+c) and (h,k-c)?
y²=x
(x-h)²+(y-k)²=1
b²
a²
(x-h)²+(y-k)²=1
a²
b²
y=x²
View Answer

41. (x-h)²+(y-k)²=1
b² a²

42. excellent!!! YOU HAVE
SAVED THE second
CARDINAL. NOW, YOU HAVE
TO ANSWER CORRECTLY THIS
PROBLEM IN ORDER TO GET
TO THE NEXT LOCATION.

43. Give the equation of the ellipse with foci at
(2,0) and (-2,0) and vertices at (4,0) and (4,0).
y=2x+12
x² + y²=1
36 25
x² + y²=1
16 12
16x²+12x+4=o
View Answer

44. e=c/a
=2/4
=1/2
b=√a² (1-e²)
= √16 (1-1/4)
= √16(3/4)
= √12
=2 √3
x² + y²=1
16 12

45. magnificent!!! YOU HAVE
UNVEILED THE third
LOCATION. NOW, YOU HAVE TO
ANSWER CORRECTLY THIS
PROBLEM IN ORDER TO SAVE
THE third CARDINAL AND GET
THE next CLUE THAT WILL
LEAD YOU TO YOUR NEXT
LOCATION.

46. Given: (x-3)²+(y+3)²=1
25
16
Find the exact location of Sta. Maria Della
Vittoria which is located east from the center.
(-2,-3)
(3,1)
(3,-7)
(8,-3)
View Answer

47. (h+a,k)=(3+5,-3)
= (8,-3)

48. WONDERFUL!!! YOU HAVE SAVED
THE THIRD CARDINAL. NOW,
YOU HAVE TO ANSWER
CORRECTLY THIS PROBLEM IN
ORDER TO GET TO THE NEXT
LOCATION.

49. Given: (x-3)²+(y+3)²=1
25
16
St . Peter’s Basilica is located West from the
center, based on the equation, find the
distance from the church where the cardinal
that represents the fire is held captive.
y=2x+12
x² + y²=1
36 25
x² + y²=1
16 12
16x²+12x+4=o
View Answer

50. 2a=2(5)=10 miles

51. WOW!!! YOU HAVE UNVEILED
THE FOURTH LOCATION. NOW,
YOU HAVE TO ANSWER
CORRECTLY THIS PROBLEM IN
ORDER TO SAVE THE FOURTH
CARDINAL AND GET THE next
CLUE THAT WILL LEAD YOU TO
YOUR NEXT LOCATION.

52. Given: (x-3)²+(y+3)²=1
25
16
What is the exact location of Piazza Navona
from the center (3,-3)?
(3,-7)
(3,1)
(-2,-3)
(8,-3)
View Answer

53. (h,k-b)=(3,-3-4)
=(3,-7)

54. Good job!!! YOU HAVE SAVED
THE fourth CARDINAL.
NOW, YOU HAVE TO ANSWER
CORRECTLY THIS PROBLEM
IN ORDER TO deactivate
the anti-matter, to stop
it from exploding and
find out the lair of the
illuminati.

55. Given: (x-3)²+(y+3)²=1
25
16
What is the exact location of the Chigi
Chapel?
(3,-7)
(3,1)
(-2,-3)
(8,-3)
View Answer

56. (h,k+b)=(3,-3+4)
=(3,1)

57. TERRIFIC!!! YOU found the lair
of the illuminati, DEACTIVATED
THE ANTIMATTER, STOPPED IT
FROM EXPLODING AND SAVED THE
CARDINALS, VATICAN CITY AND
ITS PEOPLE AND MOST
ESPECIALLY, THE WORLD. ALL YOU
HAVE TO DO NOW IS CATCH THE
CULPRIT BEHIND ALL THESE.

58. Who do you think is the culprit?
This problem, when answered
correctly, will reveal the
mastermind.

59. Find the standard form of the equation of an
ellipse given the general equation
9x²+ y²+18x-12y-180=0
(x+1)²+(y-6)²=1
25
225
(x+1)²+(y-6)²=1
225
25
View answer

60. 9x²+ y²+18x-12y-180=0
9x²+ 18x+y²-12y=180
9(x²+2x+1)+(y²-12y+36)=180+45
[9(x+1)² + (y-6)²=225]1/225
(x+1)² + (y-6)²=1
25
225

61. Congratulations!!!
You have captured
the real culprit…
You have
successfully
finished the game.

62. GAME
OVER

64. SUBMITTED AND CREATED BY:
INTES, LUCILLE B.
MALBAS, NIÑA LOVENDER H.
NOLASCO, CECILLE MAE D.
SUBMITTED TO:
SIR VIE RYAN AMAMANGPANG