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: Which point lies on the graph of the unit circle? (1,  √3) (3/4,  √7/4) (1/3,  √2/3) ( √2,  √2)

A: A point lies on the unit circle if the sum of squares of x-axis and y-axis is 1 Mathematically,

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: 5. Center: (0, 7); Point on the Circle: (-7, 6) 6. Center (9, -12); Tangent to the line x = 15

A:

Q: Find the equation of the circle which is touched by y = x has on the positive direction of the x -…

A: Since the required circle has its center on the x-axis,let the coordinates of the center be…

Q: (4) Find the circle a(x² +y³)+b(x+y) = 1, which best fits the following data. (0, –1), (–1,0),…

A: Given that a(x2+y2)+b(x+y)=1 satisfy the given data (0,-1),(-1,0),(1,-1),(1,1)  that is it gives…

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: 20.) Question is attached!

A: If the equation of a circle is: then the center = (h,k)

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

A:

Q: The line tangent to the circle expressed as x² + y² = 5 at the point (x,x)= (1,2). Find the…

A: We will find out the required equation of tangent line.

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

A:

Q: Each of two tangents to the circle x² + y² = 25 has a slope 2. Find the points of contact.

A:

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

A: Explained below

Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

A:

Q: 8c. Graph the line y = x +3 for -8 < x < 6 and then use geometry to calculate + 3) dr.

A: Answer is 35. Solution is given below....

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

A:

Q: The tangent to the circle x\power{2}+y\power{2}=5 at (1,-2) also touches the circle…

A: The equation of tangent to x2+y2=5 at (1,-2) is x-2y-5=0.putting x=2y+5 in the equation of circle,we…

Q: Consider a circle with center (2, 4) and a radius of 5. Find the equation of the tangent line to the…

A:

Q: 5. Show that the sum of the intercepts of the tangent to the parabola (Art. 129), x+y=a¹, is equal…

A: We need to prove given theorem.

Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

A: