This graph is called the unit circle and has its center at the origin and has a radius of 1 unit. The graph of the equation x 2 + y 2 = 1 is a circle in the rectangular coordinate system. Graphs: Special Trigonometric Functions.A conic section whose eccentricity is equal to one (1) is known as: A. Find the polar equation of the circle with radius a = 3/2 and the center in polar coordinates (3/2, pi). Find the equation of the diameter of the circle x^2 + y^2 + 2x - 4y = 4 that is parallel to the line 3x + 5y = 4.
The points A(1,0), B(9,2) and C(3,6) are the vertices of a triangle, which of the following is an equation of one of the medians? A. Find the equation of the line which is perpendicular to the line 3x - 2y - 5 = 0 and which passes through the point of intersection of 4x - y - 5 = 0 and x-y-5= 0. Find the equation of the line when slope is -3 and x-intercept is 5. Find the equation of the line with slope = 3 and the y-intercept = -2. Determine the equation of the line passing through the points (1, 17) and (13, 4). Find the vertical distance from the roadway to the cable at 100 m from the center. The towers of a parabolic suspension bridge 300 m long are 60 m high and the lowest point of the cable is 20 m above the roadway. The line passing thru the focus and perpendicular to the directrix of a parabola is called A. The axis of the hyperbola which is parallel to its directrices is known as: A. In a conic section, if the eccentricity is greater than one (1), the locus is: A. Approximately how closed the comet gets to the sun in million miles. The difference of the position where the comet is closest to the sun to the position where it is farthest from the sun is approximately 3.365 x 10 raised to 9 miles. The orbit of Halley's come around the sun is an ellipse with the sun as a focus and eccentricity e = 0.967. Calculate the eccentricity of an ellipse whose major axis and latus rectum has lengths of 10 and 32/5, respectively. The locus of a point which moves so that the sum of its distances between two fixed points is constant is called A. A conic section whose eccentricity is less than one is known as: A. A chord passing through the focus of the parabola y2 = 8x has one end at the point (8,8). Find the equation of the hyperbola whose asymptotes are y = +2x and which passes through (5/2, 3). What curve is described by the equation 4x²-y? + 8x + 4y = 15? A. If B? - 4AC > 0, the equation describes a A. If the general equation of the conic Ax? + Bxy + y + x + Ey + F = 0. The acute angle between the two straight lines y = 3x + 2 and y = 4x + 7 is close to A. The product of the slopes of any two straight lines is negative 1, one of the lines is said to be A. A line is perpendicular to the y-axis has a slope equal to: A. Find the area of the polygon with vertices at 2 + 3i, 3+1, -2 - 41, -4 -1, -1 + 2i. Find the area of the region inside the triangle with vertices (1, 1), (3, 2) and (2, 4). Find the point to which origin must be translated in order that the transformed equation of xy - 2x - 4y -4 = 0 shall have no first-degree term. Find the new coordinates of the point P(3, 5) if the origin is moved to (2, 4) by a translation. Determine the point of division of the line segment from A(5, 6) to B(-3, -2) that divides this line segment, starting from A, into two parts in the ratio 1:3. Find the distance between the lines, 3x + y - 12 = 0 and 3x + y - 4 = 0 A. Find the distance between the line x + y = 2 and a given point (1/2, 1/3). If the point (3, y) is equidistant from (5,-2) and (-1, 4), find y. It represents the distance of a point from the y-axis.
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