9. Point N(3, 4) lies on the circle x + y = 25. What is the slope of the line that is tangent to the circle at N? (Hint: Recall Theorem 9-1.)

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² of the point of intersection of…

A: Let R(h,k) be the point of intersection of the tangents drawn at P and Q to the given circle.Then PQ…

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: ts (2,9) and (8,-1), exact distance between the.

A: The given points are 2,9 and 8, -1. We have to find the distance between the points.

Q: 80. Explain how you might remember the midpoint formula to find the midpoint of the line segment…

A: Explanation: The midpoint of the line segment between x1 ,y1 and  x2 ,y2 is the ordered pair x,y…

Q: Find the standard form of the equation of the circle with center (- 5,3) and tangent to the line y =…

A:

Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

Q: Find the distance from point P to line L.  P(3,-1,4), L: (x-4)/-1 = (y-3)/2 = (x+5)/3

A:

Q: Give the coordinates of X-intercept for the line Y = 2(x – 1) + 7.

A:

Q: 18. The equation of a circle with center on the y-axis and passing through the origin and the point…

A: It is given that the circle is passing through the origin (0,0) and the point (2,3). As the general…

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

A: Explained below

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: 7. Find the distance from the point A to the line through the points B and C where A, B, and C have…

A:

Q: What is the distance between the points M(-3,1) and N(7,-3)?

A:

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² = 25 at points P and Q, then find…

A:

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

Q: 3- The tangont line to the cutve af the point (3,h)

A: