60. The conic section with equation m x² + 2xy + my² + 2m x - 2m y=0 is variable because of the parameter m. Find the locus of the variable center-point. Ans. (x+y)(x-y+1)=0

Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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Q: What type of conic section is defined by the equation x² + 2xy + 3y² +6x + 3y - 1 = 0?

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Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

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Q: If -4 -5x³x = y² - 2x² then find dy Answer: dy dr (-1,-2) = at the point (-1, -2). Submit Answer at

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Q: Identify the equation without applying a rotation of axes. 6x² - 10xy + y² +10x+7y-1=0 Choose the…

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Q: Find the vertex and directrix of the parabola. y2+14y+ 4x +45= 0…

A: Consider the equation of parabola, y2+14y+4x+45=0 To write the equation in standard form,…

Q: Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

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Q: 1. What conic section will be derived from these equations and draw the curve: a. 4x2 + 4y2 – 20x +…

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Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 +…

A: In this question we have to solve the following question.

Q: On which curve does the perpendicular tangents drawn to the hyperbola-16 1 intersect?

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Q: Find the value of Y for the hyperbola defined by the equation y² – x² = 7 at the point (3, 4). dx2

A: The equation is y2-x2=7. First find the value of dydx as follows.…

Q: On which curve does the perpendicular tangents drawn to the 1² hyperbola - 25 16 - 1 intersect?

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Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: O O 2. The graph of the equationx + 3y = 6 intersects the y-axis at the point whose coordinates are…

A: To find the intersection point

Q: A. Transform each equation to center-radius form and determine its center and radius. 1. x² + y²…

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Q: Graph the conic section. 36x? - 4y? - 216x +24y + 144 = 0 O A. OB. Oc. OD.

A: Given: 36x2-4y2-216x+24y+144=0

Q: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

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Q: Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question. If u want more to be…

Q: On which curve does the perpendicular tangents drawn to the hyperbola ²²² 1 25 16 = 1 intersect?

A: The given hyperbola is x225-y216=1 Rewrite the equation as x252-y242=1 Comparing with general…

Q: 1.) 25x2 − 250x + 25y2 − 250y + 625 = 0 2.) (x-5)^2/49+(y+3)^2/25=1 Identify the end points of the…

A: As per our honor code, we are authorized to answer only one question at a moment. As you have not…

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: Given: 9x + 44? 54x-84+61=D0 I den tify the conic section State the shifts from the Standad form.

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Q: (0,7) (12,14) (20,0), create a parabolic model H(x) in the standard form H(x)=ax+bx+c for the path…

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Q: x² + y² - 2x + 8y + 8 = 0 is the equation of a circle with center (h, k) and radius r for:

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Q: Solve. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter…

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Q: Name the conic section. Do not graph

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: 4. 3x2 +6x+ 4y = 18 5. 7x2 +3y2 – 14x + 12y = -14 6. -4x2 + 3y² + 24x – 12y = 36 %3D %3D %3D

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