Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

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Question 1183808: Equation of parabola
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Question 1183811: Equation of parabola
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Question 1183809: Equation of parabola
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Question 1183812: Parabola with the vertex at
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Question 1183812: Parabola with the vertex at
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Question 1183817:
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Question 1183820:

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Nonsense. Deleted.

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Question 1183819:
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Question 1183818:
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Question 1183815:
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Question 1183815:
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Question 1183865: Find the equation of the locus of a point which moves so that its distance from the point (1,-1) is three times its distance from the line y = 3.
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Question 1184178: 27x² + 9y²-81=0

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Question 1184178: 27x² + 9y²-81=0

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Question 1184210: Find the locus of point if point moves in such way that the difference of its distance from two points (8, 0) and (-8, 0) always remains 4?
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Question 1184207: Find the equation of circle with PQ as diameter if the line y = x/2 intersects ellipse + at the points P and Q?
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Question 1184208: Find the eccentric angle in the first quadrant of a point on the ellipse which is at the distance of 3 units from the center of ellipse?
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Question 1184264: vertex (1,0) and directrix x=-2
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Question 1184286: If four distinct points (2k, 3k), (2, 0), (0, 3) and (0, 0) lie on circle then which condition is true from the following:
A- k < 0
B- 0 < k < 1
C- k = 1
D- k > 1
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Question 1184288: If the focci of ellipse is subtend a right angle at some point P. Find the locus of point P?
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Question 1184304: The points representing the complex number z for which the arg lie on which of the following:
A- Circle
B- Straight Line
C- Ellipse
D- Parabola
[Note: Here arg means argument and pi means the value 3.142...]
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Question 1184285: If two circles and intersect orthogonally, then what is the value of k?
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Question 1184285: If two circles and intersect orthogonally, then what is the value of k?
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Question 1184284: The equation represents a parabola whose latus rectum is:
A- 1
B- 2
C- 3
D- 4
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Question 1184343: Two similarly-charged particles are propelled towards each other as shown. Instead of colliding, they repel each other and take hyperbola paths. If the equation of the hyperbola is x²-y²=16, how many units away are they from each other when they are at their closest?
Click here to see answer by Boreal(15235)

Question 1184368: What are the foci of the hyperbola with the equation y²/12-x²/5 = 1
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Question 1184367: A hyperbola has vertices (±5,0) and one focus at (6,0). What is the equation of the hyperbola in standard form?
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Question 1184384: A 7 - foot tall, 9-foot wide truck is approaching a tunnel on a one-way road. The arch at the tunnel's entrance forms the upper half of an ellipse with a height of 12 feet at the center and a base of 10 feet wide. Will the truck be able to fit through the arch?
Click here to see answer by Edwin McCravy(20056)

Question 1184415: A cable suspended between two posts that are the same height and 20 meters apart has a sag of 1 1/2 meter. If the cable hangs in the form of a parabola, find its equation, taking the lowest point as the origin.
Click here to see answer by Alan3354(69443)

Question 1184486: If length of transverse axis is 8 and conjugate axis is 10 and transverse axis is along x-axis then find the equation of hyperbola.
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Question 1184487: If foci of a hyperbola are (0,±5) and length of semi transverse axis is 3 units, then find the equation of hyperbola.
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Question 1184546: A radio telescope has a parabolic dish with a diameter of 110 meters. The
collected radio signals are reflected to one connection point, called the focal point, being the focus of the parabola. If the focal length is 50 meters, find the depth of the dish, rounded to two decimal places.
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Question 1184586: A cellphone tower is located at (5, -2) on a
coordinate plane with units be kilometers.
What is the standard form of the equation of the outer
boundary of the region serviced by the tower if it is
designed to service a 8km radius.
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Question 1184545: An arch in a memorial arch, having a parabolic shape, has a height of 30 feet
and a base width of 40 feet. Find the equation of the parabola which models
this shape, using the 𝑥 −axis to represent the ground.
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Question 1184729: The orbit of the earth around the sun is elliptical in shape with the sun at one
focus and semimajor axis of length 185.8 million miles. If the distance of the sun from the center of the orbit is 1.58 million miles, find
a. the greatest distance from the sun to Earth, and
b. the least distance from the sun to Earth.
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Question 1184727: Suppose that the orbit of a planet is in the shape of an ellipse with major axis
whose length is 500 million km. If the distance between the foci is 400 million
km, find an equation of the orbit.
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Question 1184785: what is the standard equation with a vertex of (2,3), and focus(2,5), with a directrix y=1
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Question 1184785: what is the standard equation with a vertex of (2,3), and focus(2,5), with a directrix y=1
Click here to see answer by greenestamps(13200)

Question 1184838: The ceiling in the hallway 10 m wide is in the shape of a semiellipse and is 9 m
high in the center and 6 m high at the side walls. Find the height of the ceiling
2m from either wall.
Click here to see answer by Edwin McCravy(20056)

Question 1184839: An arch is in the form of a semiellipse. It is 48 ft wide at the base and has a
height of 20ft. How wide is the arch at a height of 10 ft above the base?
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Question 1184726: The ceiling in the hallway 10 m wide is in the shape of a semiellipse and is
9 m high in the center and 6 m high at the side walls. Find the height of the
ceiling 2m from either wall.
Click here to see answer by Edwin McCravy(20056)

Question 1184857: Please help me to solve this.
Problem 1: two similarly-charged particles are propelled towards each other as shown. Instead of colliding, they repel each other and take hayperbolic paths.if the equation of the hyperbola is x²-y²=16,how many units away are they from each other when they are at their closest?
Click here to see answer by greenestamps(13200)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955