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Qormaata galuumsa kutaa 12ffaa Herregaa, bara 2014 A.L.I (2022), damee hawaasaa

Gaaffilee dhugaa qormaata galuumsa yunivarsiitii kutaa 12 kan Herregaa, akkuma barattoonni bara 2014 A.L.I itti fudhatanitti. Tokkoon tokkoon gaaffii deebii sirrii fi ibsa qaba. Kun qormaata damee hawaasaa ti. Dameen biraa bara sanuma qormaata Herregaa adda ta'e fudhate; gadi aanee tarreeffameera.

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  • 2014 A.L.I (2022), damee hawaasaa

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  • Gaaffilee 50 deebii waliin

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Gaaffilee qormaata kanaa yaalaa

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Gaaffii 4

A closed right circular cone has a base radius 2 cm and slant height 3√2 cm. What is the total surface area of the cone?

  1. A.2π(1+3√2) cm²
  2. B.2π(2+3√2) cm²
  3. C.6π/√4 cm²
  4. D.2π/√4 cm²
Deebii fi ibsa ilaalaa

Deebii: B 2π(2+3√2) cm²

Maaliif

The total surface area of a closed cone is given by A = πr(r + l). Substituting r = 2 cm and l = 3√2 cm gives A = 2π(2 + 3√2) cm².

Gaaffii 5

The lower and upper bases of the frustum of a regular pyramid are equilateral triangles of side 3 cm long and 2 cm long respectively. If its slant height is 4 cm, then what is the lateral surface area of the frustum?

  1. A.30 cm²
  2. B.48 cm²
  3. C.72 cm²
  4. D.96 cm²
Deebii fi ibsa ilaalaa

Deebii: A 30 cm²

Maaliif

The lateral surface area of a regular pyramid frustum is LSA = (1/2) * (P1 + P2) * h_s, where P1 and P2 are the perimeters of the bases (9 cm and 6 cm) and h_s is the slant height (4 cm). This gives LSA = 0.5 * 15 * 4 = 30 cm².

Gaaffii 6

Which one of the following is true about the signum function, f(x) = sgn x?

  1. A.Its domain is the set of real numbers
  2. B.Its range is the set of real numbers
  3. C.Its domain is {-1, 0, 1}
  4. D.Its range is [0, ∞)
Deebii fi ibsa ilaalaa

Deebii: A Its domain is the set of real numbers

Maaliif

The signum function f(x) = sgn(x) is defined for all real numbers, so its domain is the set of real numbers, which makes option A correct.

Gaaffii 7

Which one of the following is the equation of a circle with center (2, -1) and radius 3 units?

  1. A.x² + y² + 2x + 2y - 4 = 0
  2. B.x² + y² - 4x + 2y - 4 = 0
  3. C.x² + y² + 4x - 2y - 5 = 0
  4. D.x² + y² - 4x + 2y - 5 = 0
Deebii fi ibsa ilaalaa

Deebii: B x² + y² - 4x + 2y - 4 = 0

Maaliif

The standard equation of a circle is (x - h)² + (y - k)² = r². Substituting h = 2, k = -1, and r = 3 yields (x - 2)² + (y + 1)² = 9, which simplifies to x² + y² - 4x + 2y - 4 = 0.

Gaaffii 8

Consider the ellipse given by the equation 4(x + 1)² + (y - 1)² = 16. Which one of the following is the standard form of the equation of the ellipse?

  1. A.(x+1)242+(y−1)212=1\frac{(x + 1)^2}{4^2} + \frac{(y - 1)^2}{1^2} = 1
  2. B.(x+1)242+(y−1)242=1\frac{(x + 1)^2}{4^2} + \frac{(y - 1)^2}{4^2} = 1
  3. C.(x+1)222+(y−1)242=1\frac{(x + 1)^2}{2^2} + \frac{(y - 1)^2}{4^2} = 1
  4. D.(x+1)222+(y−1)212=1\frac{(x + 1)^2}{2^2} + \frac{(y - 1)^2}{1^2} = 1
Deebii fi ibsa ilaalaa

Deebii: C (x+1)222+(y−1)242=1\frac{(x + 1)^2}{2^2} + \frac{(y - 1)^2}{4^2} = 1

Maaliif

Dividing both sides of the equation 4(x + 1)² + (y - 1)² = 16 by 16 gives ((x + 1)²)/4 + ((y - 1)²)/16 = 1, which in standard form is ((x + 1)²)/(2²) + ((y - 1)²)/(4²) = 1.

Gaaffii 9

Which of the following is true? A hyperbola is a locus of points in the plane so that:

  1. A.the sum of the distances from two fixed points is constant
  2. B.the difference between the distances from two fixed points is constant
  3. C.the points have the same distance from a given point and a given line
  4. D.the points have the same distance from any given two points
Deebii fi ibsa ilaalaa

Deebii: B the difference between the distances from two fixed points is constant

Maaliif

By definition, a hyperbola is the locus of all points in a plane such that the absolute difference of their distances from two fixed points (foci) is constant.

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Qormaatilee Herregaa biroo bara 2014 A.L.I

2014 A.L.I (2022)

Qormaatilee Herregaa kan waggoota biroo

2018 A.L.I (2026)2018 A.L.I (2026), damee hawaasaa2018 A.L.I (2026), maxxansa 12018 A.L.I (2026), maxxansa 22018 A.L.I (2026), maxxansa 32018 A.L.I (2026), maxxansa 42018 A.L.I (2026), maxxansa 52018 A.L.I (2026), maxxansa 62017 A.L.I (2025)2017 A.L.I (2025), damee uumamaa2017 A.L.I (2025), maxxansa 12017 A.L.I (2025), maxxansa 22017 A.L.I (2025), maxxansa 42016 A.L.I (2024)2016 A.L.I (2024), damee uumamaa2016 A.L.I (2024), damee hawaasaaFakkeenyaa, bara 2016 A.L.I2015 A.L.I (2023)2015 A.L.I (2023), damee uumamaa2015 A.L.I (2023), damee hawaasaa2013 A.L.I (2021)2013 A.L.I (2021), maxxansa 12011 A.L.I (2019)2009 A.L.I (2017)2008 A.L.I (2016)2007 A.L.I (2015)2006 A.L.I (2014)2005 A.L.I (2013)

Qormaatilee kana fakkaatan dabalataa

Qormaatilee Herregaa kutaa 12ffaa hundaQormaatilee bara 2014 A.L.I hundaGosa barnootaa fi bara hunda

Qormaata kana taa'uu dura Herregaa qayyabadhu

Yaadannoon gabaabaan Herregaa kutaa 12 kaardii 32 qaba. Tokkoon tokkoon boqonnaa boqonnaadhaan kitaaba biyyaalessaa irraa qophaa'ee seericha, mallattoowwan isaa maal bakka akka bu'an fi dogoggora qabxii nama dhabsiisu ni ibsa.

Yaadannoo Herregaa bani
Kunneen gaaffilee dhugaa qormaata galuumsa Herregaa bara 2014 A.L.I ti?

Eeyyee. Qormaata galuumsa yunivarsiitii biyyaalessaa kan Herregaa barattoonni bara 2014 A.L.I (2022) fudhatan irraa fudhataman. Kuusaan keenya gaaffilee isaa 50 qaba; tokkoon tokkoon isaanii deebii fi ibsa gara kitaaba barnootaatti qajeelchu qabu.

Qormaata guutuu akkamittan shaakala?

Lakkoofsa bilbilaatiin herrega bilisaa banadhaa. Qormaatichi guutuun qormaata fakkeenyaa sa'aatiin daangeffame ta'ee qabxii battalumaa kenna; fooyya'iinsi gargaaraa AI ji'atti qarshii 199 kan ta'e waan isin jalaa darbe hunda isinii ibsa.

Qormaata Herregaa bara 2014 A.L.I PDF dhaan buufachuu nan danda'aa?

Eeyyee; bilisas. Waraqaan gaaffii faayilii tokko, furtuun deebii ibsa isaa waliin immoo faayilii biraa ti; kanaaf qormaata dursitanii yaaluu dandeessu. Maxxansaa, yookiin yeroo daataan hin jirre irra deebiif bilbila keessan irratti kaa'adhaa.

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