10. Circle T is centered at (-11, 7) and S(2, −6) is a point on the circle. Find the equation of the tangent where point S is the point of tangency. y = x+8 y=-x - 4

Q: Find the equation of the line perpendicular to y=−2y= through the point (3,2)

A:

Q: Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: Find the point on the line 3x + 6y +2=0 which is closest to the point (2,-2). Answer is

A: Foot of perpendicular

Q: Line l1 has equation 5x – 2y = 7. Line l2 is perpendicular to lı and passes through the point (3,…

A: line l1 5x-2y=72y=5x-7y=52x-72   slope of line compare with y=mx+c m1=52

Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

A:

Q: 4. Find the equation of the line perpendicular to the line 3y = 2 – 4xand passing through the point…

A: The slope of perpendicular line is given by, -dx/dy

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

A:

Q: Find the distance between the pair of points (5, 1) and (8, 5) . If necessary, express answers in…

A:

Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: From the point (0, –5), tangent lines are drawn to the circle (x – 7)2 + y = 4. Find the slope of…

A: Equation of line passing through point (x1,y1) and slope m  (y-y1) = m (x-x1)

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…