Write the equation of the ellipse 4x2 + 36y² + 16x - 72y - 92 0 in standar form where: h = k = a = (x - h)² a² + (y - k)² 62 = 1,

Q: Transform the following equation of ellipse in standard form. 9x²-4y²+36x-24y - 36 = 0 3x² - y2 +…

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Q: Put the equation of the ellipse in standard form by completing the squqte. 5x2 + 3y2 + 10x + 24y –…

A: This question can be solved using the concept of standard equation of ellipse.

Q: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

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Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: 3x2-2y2+6x-8y=6⇒3x2+6x-2y2+8y=6⇒3x2+2x-2y2+4y=6⇒3x2+2x+1-2y2+4y+4=6+3-8⇒3x+12-2y+22=1⇒x+1213-y+2212=…

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

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Q: Write the equation of the ellipse in standard rectangular form that has foci at ( 2 , − 2 ) a n d (…

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Q: Write the equation of the ellipse 25x² + 16y² + 50x + 64y – 311 = 0 in standard form 2 (x - h)² (y -…

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Q: Which equation does not represent an ellipse? A B C D 4+4-1 (x + 1)² 3 (x + 1)² 3 + (v-5)² 7 (v-5)²…

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Q: Transform the following equation of ellipse in standard form. 9x²-4y²+36x-24y - 36 = 0 3x² - y2 +…

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Q: Write the equation of the ellipse 9x2 + 25y² – 54x – 50y – 119 = 0 in standard form (x – h)² (y –…

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Q: Write the equation of the ellipse 25x² + 16y² 100x +96y- 156= 0 in standard form (x-h)² (y-k)² a² 62…

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Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

Q: Express the equation of an ellipse 16x² +9y² – 64x-54y+1=0 in standard form. Hence, find the centre,…

A: The standard form of equation of ellipse is x-x02a2+y-y02b2=1 and eccentricity of ellipse is…

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

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Q: Write the equation of the ellipse 9x² + 16y² + 18x − 96y + 9 = 0 in standard form - (x - h)² (y-k)²…

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Q: f the equation (5x - 1)² + (5y - 2)² = (y²-2y+1) (3x + 4y - 1)² represents an ellipse then find…

A: Introduction: An ellipse is the locus of all those points in a plane such that the sum of their…

Q: graph the ellipse given by the equation 36x2 + 16y² + 144x – 160y – 32 = 0?

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Q: Write the equation of the ellipse 16x² +9y² + 160x +36y+292= 0 in standard form (x - h) ² p² (y -…

A: The given ellipse equation is .The aim is to convert into the standard form .

Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

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Q: Transform the following equation of ellipse in standard form. 9x²-4y²+36x-24y-36 = 0 3x² - y² +…

A: Solution: Given,  9x2 - 4y2 + 36x - 24y - 36 = 0             3x2 - y2 + 18x - 2y - 10 = 0 We know…

Q: Express the equation of an ellipse 16x+9y-64x-54y+13D0 in standard form. Hence, find the centre,…

A: General equation of eclipse is x-h2b2+y-k2a2=1 centre of eclipse = ( h , k ) Vertices = (h,k+a) ,…

Q: Write the following equation x2 +9y2 + 10x-18y+25= 0 in vertex form. Identify the type of conic…

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Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

Q: Find the equation of the ellipse with vertices at (−10, −4) and (6, −4), and covertices at (−2, −9)…

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