A hyperbola is defined by the equation x2 - y2 - 2x - 4y - 4 = 0. Its center is at the point (-1, 2) (1, – 2) Option 1 O Option 2 (2, – 1) (-2, 1) O Option 3 O Option 4

Q: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

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Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: Find the equation to the ellipse whose centre is at the origin and the axes are the axes of…

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Q: 8 -7 -6 -4 -3 to it

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Q: Find the vertex and focus of the parabola represented by the equation (y-2)^2 =-16(x-3)

A: y-22=-16x-3 Comparing with y-k2=4px-h, we get h=3,  k=2  &  4p=-16⇒p=-4

Q: Each of the following equations defines a geometric object in 3-space. Describe in words what the…

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Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

Q: 0 = 3x2 – 6x+4y² – 16y+18 is an ellipse. True False

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Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Find the standard equation of the given general form of the hyperbola . Please show me the steps…

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Q: Find the equation of an ellipse whose foci belong to the x-axis and passes through the points (4,3)…

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Q: Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2,8) and…

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Q: Graph the hyperbola given by ײ - y² - 72x – 4y +131 - 0.

A: We will graph the hyperbola as shown below

Q: If the equation (5x - 1)\power{2} + (5y - 2)\power{2}=(a\power{2}-2a+1)(3x+4y-1)\power{2} represents…

A: The given equation of ellipse is            x-152+y-252=(a-1)23x+4y-132+422