The coordinates of the point in the first quadrant where the line with equation y = 1.5z + 4 intersects the circle with radius 4 and center (0, 4) are:

Q: Find an equation of the tangent to the circle x2+y2=36 at the point (5,3)

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Q: Find equations of both lines through the point (2, –3) that are tangent to the parabola y = x2 + x.…

A: We have to find equations of both lines through the point (2 , -3) that are tangent to the parabola…

Q: Describe how to determine and find the equation of a circle with center on the line y = 0.5x + 3…

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Q: What is the equation of a circle that has center located at (- 2, 0) and passes through the point…

A: Solution: The objective is to find the equation of a circle that has a centre located at (- 2, 0)…

Q: Find the point in the first quadrant where the line y=4x intersects a circle of radius 5 centered at…

A: Equation of circle : x-h2 + y-k2 = r2 ; where (h,k) is center and 'r' is the radius .

Q: Write the equation of the circle centered at (4, 2) with radius 18. --

A: Given, center(4,-2) radius =18 what is equation of circle

Q: Find the equation of one of the tangent lines to the circle x^2 + y^2 = 5^2 that passes through the…

A: Here, to find the equation of the tangent line to the circle  x2+y2=52⇒x2+y2=25...(1) that passes…

Q: How to find an equation of the line tangent to the circle x^2+y^2-6x-2y-15=0 at the point (6,5) ?

A: Note:- The standard form of equation of tangent line at point c, d is y-d = m x-c Here, m is the…

Q: At what point in the first quadrant does the line with equation y = 21 + 5 intersect the circle with…

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Q: Find equations of both lines through the point (2, - 3) that are tangent to the parabola y = x2  + x…

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Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is parallel to the line y…

A: Given curve is y=2x3-3x2-12x+20 Given line is y=2-12x=-12x+2  Slope of the given line is -12.…

Q: Find equations for the lines that are tangent and normal to the curve at the point (1,1).. x³ + y² =…

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Q: Find the equation of the line tangent to a circle with center at (3,2) and radius 5 at the point…

A: The center of the circle is:  (h, k) = (3, 2) Radius of the circle is:  r = 5 Now we have to find…

Q: Find the points where the line y=x4 intersects a circle of radius 2 centered at the origin. Give…

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Q: At what point in the first quadrant does the line with equation y = 1.5x +3 intersect the circle…

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Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: Find the points where the line y=−3xy=-3x intersects a circle of radius 2 centered at the origin.…

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Q: The slope of the tangent line to the parabola y = 2x“ + 2x + 6 at the point (1, 10) is: The equation…

A: Given,            The parabola is y=2x2+2x+6 and the point is 1,10.

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: What equation is tangent to the circle (x-4)+ (y-2)- 25 at the point (8,5)?

A: We have to find the equation of the tangent to the circle x-42+y-22=25 at the point 8,5.

Q: Find the point (s) on x = 3 - y2 that are closest to point A = (1,0).

A: Given: x = 3 - y2 and point A = (1, 0)

Q: What equation is tangent to the circle (x-4)² + (y- 2)* = 25 at the point (8,5)?

A: concepts remember for this question are; 1. The general equation of a straight line is y = mx + c,…

Q: Find the equation of the tangent line to the circle at the point (-3, -4). Equation of the circle *…

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Q: Sketch the given curves together in the appropriate coordinate plane and label each curve with its…

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Q: Find the slope of the tangent line to the parabola y = x2 at the point (2, 4) by analyzing the…

A: We have to find the slope of tangent line to the given parabola y=x2 at the point 2, 4 by analyzing…

Q: Find the coordinates of the point at -50° on a circle of radius 4.7 centered at the origin.

A: x=r cos θ , y=r sin θr is the radius, θ=-50°

Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: Find the points where the line y=−x/4 intersects a circle of radius 8 centered at the origin. Give…

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Q: Try to find the slope of the tangent to the circle x²+y²=5. at the point (-2, 1) Show solution

A: tangent

Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius?

A: Given : Center of Circle is (9 , 15) has only 1 y-intersept. To find : Radius of circle  Solution :…

Q: What are the coordinates of the points in the graph of y? - - x2 + 6x – 13 = 0 in which the tangent…

A: Note that the slope of a horizontal line is zero. Also the slope of a tangent is given by the…

Q: If a circle of radius 2 is made to roll along the x-axis, what isan equation for the path of the…

A: Draw multiple circles with the radius 2 such that their lowest point touches the x-axis, then mark…

Q: What equation is tangent to the circle(x-4)^2 + (y-2)^2  at the point (8,5)?

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Q: Give the equation of a circle tangent to the line 3x + y -2 = 0 at (-1, 5) and with a radius equal…

A: Topic = Circle

Q: What is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)?…

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Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius ?

A: we have to find the radius of the circle

Q: Find a path that traces the circle in the plane y=5 with radius r=2 and center (-1,5, -4) with…

A: The radius if circle = 2 and center (-1,5,-4) The equation of such circle is given by: The…

Q: Find an equation for the line tangent (in general form) to the circle at point (4,-3). The circle…

A: For the figure  given below: Equation of a tangent to a circle at point (a,b)  with radius r and…

Q: Find equations of both tangent lines to the graph of the ellipse x2/4 + y2/9 = 1 that pass through…

A: We have given equation of curve x24+y29=1 and point 4,0 We will find slope of tangent at any point…

Q: What is the radius of a circle whose center is at (-6,7) and is tangent to the y-axis?

A: Given that: center=-6,7 and tangent to the y-axis

Q: Find the equation of one of the tangent lines to the circle x2 + y2 = 52 that pass through the point…

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Q: Find the equations of the tangents to the circle x² + y² = 9 with slope 1

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Q: Find an equation of the tangent to the circle x 2 + y 2= 25 at the point  (3,4)

A: x2+y2=25 Differentiating with respect to x, we get 2x+2y·dydx=0⇒2y·dydx=-2x⇒dydx=-xy Now slope of…

Q: 4. Find the equation of the circle that is tangent to the line x = 8 that has a center at (-5, 10).

A: The general equation of circle having the center at h,k and radius r is given as, x-h2+y-k2=r2 it is…

Q: Find the equations of both of the tangent lines to the ellipse x² + 4y² = 36 that pass through the…

A: Find the slope of curve. Find the derivative of the following function.

Q: At what point in the first quadrant does the line with equation   y = 0.5 x + 4   intersect the…

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