Write an equation of the line tangent to the given circle at the given point. (x + 7)2 + (y – 9)2 = 17; (4, -1)

Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y2 -8x-6y +9…

A:

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: 8. Find the equation of the circle which is tangent to the y- axis, which passes through the point…

A: To find equation of Circle which is tangent to y axis, passes through point (-1,-1) and it's centre…

Q: 23. The line 3x - 4y + 14 is a tangent to the circle

A: 23 Given equation of tangent is 3x-4y+14. General equation of circle is x2+y2+2gx+2fy+c=0 radius of…

Q: Write the equation of a circle with center (11.-17) and that passes through (10. -12 x-117- y + 17 =…

A: Given : Center = 11,-17 The circle is passing through 10,-18

Q: Write the equation of the line tangent to the graph of y = ly + 7x + 34 at (- 2, - 4). %3D The…

A: y = -(50 +7x)/9

Q: 3. Write an equation for the circle centered at (4,-3) that passes through the point (-1, 7).

A:

Q: Find the equation of the circle that passes through (1, 0) and (0, 1) and is tangent to the x-

A: Here we have to find the equation of the circle that passes through (1, 0) and (0, 1) and istangent…

Q: 4. Find the equation of the circle whose center is in quadrant II and that goes through the point…

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Q: Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

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Q: Find the point(s) of intersection of the line y=7x-42 and the circle with equation x2+y2-4x+6y=12.

A:

Q: Find the standard form of the equation of the circle with center (- 5,4) and tangent to the line y=…

A: Solution :-

Q: what is the equation of the circle passing through the (x y) points (0 0) (0 6) and (-6 0)

A:

Q: (b) . Find the equation of the circle passing through the points (2,1), (0,5) and (-1,2).

A:

Q: Find the equation of the circle if the circle is tangent to the line x + y = 1 at the point (0,1)…

A:

Q: Find an equation of the circle that satisfies the given conditions. (Use the variable x and y.)…

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Q: The equation with the circle for 1-3 is: (x-2)^2 + (y+3)^2 =9

A: The equation of circle x-22+y+32=9

Q: section to sketch the curve y =x-12Vx.

A:

Q: Find the equation of the circle that satisfies the given condition: With x-intercepts −3 and 7,…

A:

Q: Find equation of the circle (in general form) that satisfies the given condition: Equation of the…

A: Circle

Q: Find the equations of the curve for which y" = 6x2 and which passes through the points (0,2) and…

A:

Q: Write the equation of the line tangent to the graph of y? 2y + 10x 17 at (2, – 3). - The equation is…

A:

Q: 5. Calculate the equation of a circle which is centered at the point of intersection of the lines x…

A: Topic = Circle

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: Find the equation for the circle centered at point M (-2,3) and tangent to the line 20x -21y -42 = 0

A: We will find the radius of circle.

Q: 1. Determine the equation of the circle which is tangent to the line 21y = 20x - 42. The center of…

A:

Q: Find the equation of the circle inscribed in the triangle formed by the lines, x + 2y - 5 = 0, 2x –…

A: Please see the answer below

Q: 2) Given the circle x2 +y = 25 and point P (x,y,) on the circle, find the equation of the line in…

A: We have to find equation of line in slope- intercept form:

Q: (i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and…

A:

Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: (a) Find the equation of the circle that has center (-5, -3) and is tangent to the line 2x + 3y = 5.…

A: We have to find both

Q: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: A circle with the equation ( x + 4) 2 + ( y - 3) 2 = 9 is reflected over the line y = -1. What is…

A: given,     A circle with the equation ( x + 4) 2 + ( y - 3) 2 = 9 is reflected over the line y = -1

Q: Find the equation of (i) A circle passing through the points (2, 1), (0, 2) and (1,0).

A:

Q: Find the equation of the circle passes through the points (1.1) and (2,2) and the center of the…

A: Points where the circle passes : (1, 1) and (2, 2)       It's center passes through the line…

Q: Find the equation of the circle, if the center of the circle of radius 3 lies on the line x + 2y = 4…

A: Let the center of the circle is (h, k). If its center passing through the line x + 2y = 4, then h+…

Q: Write an equation of the line tangent to the given circle at the given point.  (x - 3)2 + (y + 2)2…

A:

Q: Find the equation of the line tangent to the circle expressed as x^2 + y^2=5 at the point (x,y)=…

A: The equation of tangent to a circle S at the point (x1,y1) is given by the formula S1. Where S: is…

Q: Given a circle x²+y² +x+y-4 =0, a. Find the equation of the tangent to the circle at the point…

A: Given: x2+y2+x+y−4=0 Slope of tangent to the circle at point (1,1) will be given by the value of…

Q: (b) Find an equation of the circle that lies in the first quadrant, tangent to both x - axis and y-…

A: Solution is given below:

Q: The point P(4, -2) lies on the curve y = -

A: As per our guidelines, we are supposed to answer one question at a time. Kindly repost other…

Q: Find the equation/s of the circle that has a radius of 5 and tangent to the  line 3x + 4y − 24 = 0…

A: The solution is given below

Q: Given the circle x^2 +y^2=25 and point P(x1,y1)on the circle, find the equation of the line in…

A:

Q: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: Given: f(x)=arctanx x0=1.

Q: Find the equation of the circle with the center at (-4,-5) and tangent to the line 2x + 7y – 10 = 0.

A: We will find the equation of circle.

Q: Find the equation of the curve for which y"=6x^2, and which passes through the points (0,2) and…

A: The given differential equation is in the variable separable form and can be solved by integrating…

Q: Write the equation for a circle that is centered at (0,0) and passes through the point (-3,5). A…

A:

Q: Find the standard form of the equation of the circle with center (- 3,4) and tangent to the line y =…

A: Given that, A circle has center (-3,4) and it has a tangent y=2

Q: Find the equation of the general circle that touches the axes of the two points (-0.3,0) , (0,0.3)

A: Equation of circle

Q: The center ofa circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.