Find the equation of a line tangent to the circle x2 +y2 – 4x + 2y - 31 = 0 at the point (2,5). Draw the line and the circle.

Q: Find the equation of the smaller circle that touches the circles x2 +y2=1  and passes through the…

A:

Q: ind the equation of the circle with radius 5 whose center lies on the x-axis and passes  through the…

A: Since the radius of the circle is 5 and its center lies on the x-axis,the equation of the circleis…

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: find the equation of the line parallel to 8x+13y=16 and passing through the point (0,16).

A: Given equation of a line 8x+13y=16 and a point 0,16 through which a parallel line passes. To find…

Q: Find the equation for the horizontal line passing through the point (15, 9)

A: If y always equals 9 then the x value will change but then y value will not. This means that the…

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Write an equation for a line perpendicular to y = 5x – 4 and passing through the point (5, -4). y =

A: first we will find slope of equation then we will piut point and find valuer of c

Q: Write the equation of the circle in standard form, (x - h)2 + (y - k)2 = r2. (r-(O) + (- - (O) - 2

A: The equation of circle in standard form is x-h2+y-k2=r2, where (h,k) is the center and r is the…

Q: Find the equation for the line passing through the point (3,2) and parallel to the line whose…

A: Any line parallel to the line y=2x+13 is of the form y=2x+c where c is some constant.

Q: XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose…

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