A circle is the set of points equidistant to a given center. Suppose distance is defined as d((x,y), (x', y')) = |x – x'| + |y – y'l. Draw a circle with radius 2 and center (0,0).

Q: Find the point/s on the unit circle whose x-coordinate is

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Q: c. Find r' (t) and graph r' (t) on the same graph as r(t). Distinguish each by using different…

A: Please see the below picture for detailed solution.

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² of the point of intersection of…

A: Let R(h,k) be the point of intersection of the tangents drawn at P and Q to the given circle.Then PQ…

Q: Find distance between point A(1,3) Perpenclicular on the line L: 2y =2 +X

A: Use the following formula: The perpendicular distance from the point A(x1,y1) to the line ax+by+c=0…

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² = 25 at points P and Q, then…

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Q: If a focal chord of y =16x is a tangent to the circle (x-6)° +y² = 2, then the positive value of the…

A: Introduction :__

Q: Find the equation of tangents to circle x² + y² - 2x+4y-4 = 0 drawn from point P(2, 3).

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Q: 5) Find the distance between the pole and the point (r, 0) = (-1, ). %3D

A: A detailed solution is given below.

Q: C\index{1} and C\index{2} are circles of unit radius with centers at (0,0) and…

A: The equation of any circle through (0,0) and (1,0) is…

Q: Q1) A- Write an equations for the normal lines on the circle tangent at (x= 1) with (r-10),c(0,0),

A: Given Center of circle c0,0radius r=10To calculate : Write an equation for the normal lines on the…

Q: b. The y' of the curve y 4 Vx

A: The given function is y=4x. Obtain the first derivative as follows. y'=ddx4x=ddx4 x-12=4…

Q: Find the length of the arc of this curve and Sketch the curve y cu. = x sq.  from ( -1,1 ) and ( 8,4…

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Q: Suppose that a curve is given by the equation  x3−y3= 40xy which defines  y  as function(s) of  x…

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Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

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Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² = 25 at points P and Q, then find…

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Q: Show that the distance between the line 3x 4y + 3 = 0 and the point (1, –1) is 2. |

A: In this question, we have to prove that the distance between line and point is 2.

Q: Find the shortest distance from the point (2,1) to the curve y = 1+√x.

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Q: Let C be the curve starting at -3,3) and going along a straight line to 3,-3) and then…

A: We will use basic knowledge of line integral and curve parametrization to solve this question