What is the distance between the focus and directrix of the arabola y² – 8x – 2y + 1 = 0? 2 0 1 4 8

Q: (2- 8)2 (y - 5)2 = 1 81 16 Distance from the center to each focus is:

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Q: 2. Find the coordinate of A(-4,6) after it has been rotated 90 degrees counterclockwise, reflected…

A: When we rotate by 90° counter clockwise, the x coordinate become y coordinate of the point after…

Q: Match the given parametric equations with one of the parametric curves. x=3- sint, y=3+ cost

A: It is given that x=3-sint, y=3+cost. we have to find the graph of the parametric curve

Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

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

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: The given parametric equation is: x=3+t and y=t2-5t, 0≤t≤6 Find the value of t, where y=0:…

Q: Find the distance from the point (2,3, 1) to plane 3x - y + 4z = 5. (Round to 2 decimal places if…

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Q: Find the directrix of the parabola r = 25/(10 + 10 cos θ)

A: The parabola r=2510+10cosθ, we have to find the directrix of this given parabola.

Q: Find the length of DF * 1 point F G 4 ст E 3D B,--- C 9 ст A 4 ст 9.8 cm 10.6 cm 5.7 cm Other: ООО О

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Q: 4. Eliminate the parameter and write the parametric equation in rectangular form x = 3 sece, y = 5…

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Q: consider the following set of parametric equations: x = 6tanhθ ; y = 3sechθ Calculate d^2y/dx^2

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Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Find the distance between the pair of points. (2, 6) and (-7, -4) 90 -1 O Visi 181 O vio

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Q: The parametric equations r = 3 - t, y = 2t + 4, 0 <t < 2 describes motion along a certain line…

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Q: Find the acute angle between 3x – 2y + 7 = 0 and 2y + 4x – 3 = 0 (to nearest degree).

A: Given, 3x-2y+7=0      .....12y+4x-3=0      .....2

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

Q: 4. Use the parameter t to write parametric equations representing a circle with center (2, -3) and…

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Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…