Definition and Equation of an Ellipse

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E Unit 3: Ellipses 3.1 Definition and Equation of an Elli... Question 6/10 Determine whether each of the following equations is an ellipse or not. Select the correct category for each item. Category Ellipse Not an Ellipse 10 + 25 =1 Choose your answer 4x2 + 9y' - 18y = 0 Choose your answer = 1 Choose your answer 4x2 + 10x - 5 = 0 Choose your answer_ Umt 3 Ll I; _._.~. g 3.1 Definition and Equation of an Elli... Question am: Is 49:2 + 33,;2 8:1: + 63; + 7 = 0 an equation of an ellipse? Why or why not? Select your answer. Yes, because the coefficients of 2:2 and y2 are not equal. No, because when the equation is transformed into its standard form, the righthand side of the equation is zero and not 1. No, because the coefcients of 2:2 and 3,;2 must be equal for it to be an ellipse. Yes, because it follows the general form of equation of an ellipse. which is Azg+Cy2+Dz+Ey+F= _ Umt it g \"on\"; a 3.1 Definition and Equation of an Elli... Question 3/10 Find the equation of an ellipse with center at the origin. major axis of length 26 units long on the xaxis, and minor axis of length 24 units. Select your answer. E] U! H! 3. L' IL'ZJ'E'E. 3.1 Definition and Equation of an Elli... Question 10110 The arch of a tunnel is in the form of a semi- ellipse. The distance between the bases of the arch is 20 meters. The height of the tunnel at the center is 8 meters. Can a truck that is 7 meters high and 8 meters wide pass through the tunnel? Select your answer. No, because the truck will hit the arch of the tunnel. Yes, because the height of the arch can accommodate any 8-meter-wide vehicle whose height is less than 7.33 meters. No, because the focal distance of the ellipse is only 6 meters. Yes, because the maximum height of the tunnel is 8 meters. _ U: M J; E' Imeii a 3.1 Definition and Equation of an Elli... Question 91-10 Arrange the following equations in increasing length of major axis. Rearrange the items into the correct order. Drag unnecessary answers Into the provided box. Drag unnecessary answers here Rearrange the items Into the correct order 251:2 + 43:2 50:: + 16y 359 = 0 2 '4- H2 :I'i'le F; (1-1)\" (11+?) 16 + 25 5: 252:2 + 144g2 = 3600 Unit 3: Ellipses 3.1 Definition and Equation of an Elli... Question 7/10 Classify the following equations according to the kind of conic sections. Select the correct category for each item. Category Circle Parabola Ellipse x2 + y? - 16= 0 Choose your answer 3x2 + 4y' + 12x - 13y + 1 =0 Choose your answer 2x2 + 3x + 4y - 2 = 0 Choose your answer x? + 4y? - 4x + 6y + 20 = 0 Choose your answerUnit 3: Ellipses 3.1 Definition and Equation of an Elli... Question 5/10 What is the general form of equation of an ellipse if its center is at (3, -1), a = 4, b = 3, and its major axis is horizontal? Select your answer. 9x2 + 16y? - 54x + 32y - 47 = 0 16x2 + 9g2 + 54x - 32y - 47 = 0 16x2 + 9g2 - 54x + 32y - 47 = 0 9x2 + 16y2 - 54x + 32y + 47 = 0