Find the equation of the circle tangent to 3x+y+14=0 and x+3y+10=0 with radius square root of 10

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

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Q: Write the standard from of the equation of the circle with center at (-3, 5) that is tangent to the…

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Q: 2. Find the equations of tangents that can be drawn from the origin to the circle x² +y-2x+8y+2=0.

A: Given below the detailed solution

Q: Use the Difference Quotient to evaluate the slope of the tangent line to the first parabola found in…

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

Q: Find the slope of the tangent line to the circle 4x² + 9y² = 36 at the point (0,2).

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Q: Find the minimum distance from the point (3, 0) to the circle x2 + y2 = 4.

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Q: Find the equation of the locus of the center of the circle which moves so that it is tangent to the…

A: Find equation of locus :

Q: y 2 = 5x at (2, –1)

A: Find the tangent line to the given circle as directed. 2x 2 + 2y 2 =  5x  at (2, –1)

Q: Find the length of the curve y x² Inx 8 at (2 <x< 4)? -

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Q: A circle with radius 5 has its center at origin. What is the equation of the tangent line to the…

A: The equation of a circle centered at and has a radius r is defined by the equation, . The slope of…

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: Find length of arc of the curve 9y2=4x3 from the origin to the point (3, 2√3)

A: Given curve is 9y2=4x3, and the point is 3,23.   The objective is to determine the length of arc of…

Q: Determine the length of the tangent to the circle x2 + y2 − 4x − 5 = 0 from (8, −2)

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Q: (a) What is the equation of the line that is tangent to the circle of radius 9 at (0, – 9) and whose…

A: Given:  A circle x2 + y2 = 92.  ---------------------------------------------------------…

Q: Solve the center qnd radius of the circle passing through the points P(1,1) and is tangent to the…

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

A: Equation of the tangent line

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: Find the center of the circle tangent to x^2 + y^2 + 2x - 6y + 5 = 0 at (1,2) passing through point…

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

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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: Find the area of the segment of a sphere formed by revolving the graph of     y = √(9 − x2) , 0 ≤ x…

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Q: Find the parabola with equation  y = ax2 + bx  whose tangent line at  (1, −1)  has equation  y =…

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Q: Find the slope of the tangent line to the circle x2+y2 = 4 at (1,-v3)

A: To find the slope of tangent line to the circle x2+y2=4 first find the derivative dydx.…

Q: At what point of the parabola y = x² – 3x – 5 is the tangent line parallel to 3x - y = 3? O (-3,-5)…

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Q: Find the equation of the circle of curvature of the curve y = 2x" – x at its minimum point in the…

A: The equation of a circle is defined using the formula: x-h2+y-k2=r2, where h, k is the center and r…

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: 6. Show that the line with equation y = 3x – 5 is a tangent to the circle with equation x² +y? + 2x…

A: Equation of line : y=3x-5 Equation of circle : x2 + y2 +2x -4y -5=0 We have to prove that the line…

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

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Q: Find the length of the arc of the parabola y²=4x from the vertex to a point where x=4.

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Q: Find the length of the tangent to the circle x²+y²-2x-3y-1=0 from the point (2,5).

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Q: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…

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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: please show in your solution how to get the pt of intersection between curves  y=(x)^1/3 and…

A: Point of intersection of the curves is the point where two curve intersect .

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: What is the smallest possible area of the triangle that is cutoff by the first quadrant and whose…

A: Given that the triangle that is cut off by the first quadrant and whose hypotenuse is tangent tothe…

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: 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 the arclength of y = 4x2 - 4 where x is greater than or equal to 0 and less than or equal to 4

A: Concept Used: The arc length of the function is the length of the curve y=fx on the interval a,b is…

Q: Find the exact length of the curve. 36y² = (x²-4)³, 4≤x≤6, y 20

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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: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)^2=2y, the…

A: Solution of the problem as follows

Q: Find the equation of tangent to the circle 2x2+2y2+3x-4y+1=0 at (-1,2)

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Q: Find the exact length of the curve. 36y² = (x²-4)³, 5≤x≤9, y 20

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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: 2. Find the equation of the tangent to the circle x2 + y2 +4x +16y - 32 = 0 through (4, 0).

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