Pair of tangents are drawn to the Conic a alway parallil to the fair of shraight lines a'zeradny+by- o. f ztby- 1 I so as to be a'; ti, t' vary then show that the locus of the point of intersection of these such that aB-a+bA =0. A,H, B being constants, tangents is the conic Ax²+a Az+aHzy+ By

Q: Watch help video Write the equation of the conic section shown below. -10-9-8 -7 -6 -5 -4 -3 -2 y 10…

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Q: 3. Transform into standard form and identify the conic sections: a) 92²-4y²-36x-24y-35-0. b) x²-3xy…

A: 9x2-4y2-36x-24y-35=0

Q: 9. Find equation (in an Rectangular) for the conic that satisfies the given conditions: Parabola…

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Q: 2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

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Q: Which of the following conics has an eccentricity greater than 1? * 9x² + 16y² 36x +96y +36 = 0…

A: The eccentricities of conic sections are as follows. For circle e=0 For parabola e=1 For ellipse…

Q: 4)( > Draw the conic section defined by the parametric equations x = 4 tan(1) + 5 and y = sec(t) +…

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

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

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Q: Convert parametric equations to a Cartesian X = tvo cose y = tvosine - gt² 2 X = y = - cost 2 sint +…

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Q: The asymptotes of the graph of the two given parametric equations are * 1 and y = %3D t + 1 O x=0 ,…

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Q: The diagram shows a conic with focus F, directrix d and a point, T, on the directrix. From the point…

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Q: Write the name of the conics giver by poloar curve r=6/(2+sin(t)) a) Determine the vertices in the…

A: We need to write the name of the conics given by the polar curve r=6/(2+sin(t)). Also, we need to…

Q: Qu/what kind of comic section is given by quadratic form. Transfor it to Principles uxis 2 2 -11 X²…

A: We have to determine the type of conic section which is represented by the given quadratic form. We…

Q: Which conic section has x or y squared, but not both?

A: the general equation of the circle is   with the centre    and radius of the circle is   The general…

Q: If all conics are defined in terms of a fixed point and a fixed line, how can you tell one kind of…

A: Solution: We have Conics: It is a locus of a point that moves in a plane, such that a ratio of its…

Q: Find a set of parametric equations for the graph of y = 4x² + 2 using the parameter t = x – 3 O x =…

A: Given parameter- t=x-3 Then,  x=t+3

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: d. P = 4x1 – 2x2, Q = 2x1 + 6x2; D is the interior of the ellipse: x1 = 2 cos 0, x2 = = sin 0, 0 E…

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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: If A, Band C are three points on the hyperbola yx = c^2 such that AB subtends a right angle at C,…

A: If A, B and Care three points on the hyperbola yx = c2 such that AB subtends a right angle at C,…

Q: If the coordinates of the ends of a focal chord of the parabola y²=4ax and (x,,y,) and (x,.y;) then…

A: Consider the given parabola y2=4ax Suppose Ax1 , y1  and  Bx2 , y2 be the ends of the focal chord of…

Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: Eliminate the parameter and obtoin the standerd formt 7,) of the rectongular equation. Circle:…

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Q: 4. (a) Find the tangent line to the limaconr = 2 + 4cos0 at pole. Also find the points on the…

A: 4(a)

Q: (b) Given ra 1-2 sin 0 equation of the conic Find the distances from the pole to the vertices and…

A: The given polar curve is  r=41-2sinθ. To Find: Distance from the poles to the vertices. To Find:…

Q: Identify and sketch the conic defined by x2 - 2xy+ y² – x – y=0.

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Q: 2. Identify the conic section given by y² + 2y = 4x² + 3 Find its vertex/vertices and focus/foci.

A: We rewrite the equation as: This is an equation of a hyperbola.

Q: Use, 0 = 60°, to write the rotated conic section given below, in the x'y'-plane. x² - y² = 9 Select…

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