The lengths of the tangents from P(1, -1) and (3, 3) to a circle are √2 and √6, respectively. Then, find the length of the tang from R(-1.-5) to the same circle.

Q: 2. Express in radical form the length of the line segment joining the points whose coordinates are…

A: In a right triangle, the lengths of the sides of the triangle are related to each other by the…

Q: Use the distance formula to find the distance from (2, 5) to (-3, 10).

A: To find the distance between two points (2,5) and -3,10. Solution: Using distance formula, distance…

Q: The distance between (3,5) and (x,7) is 7. What are the coordinates of x

A:

Q: A circle of radius √5 and centre at (4,q) passes through the point (2,-2). Find the values of q.

A:

Q: Find the value of x,if the distance between the points (x,1) and (3,2) is 5

A: Use the distance formula and solve for unknown.

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

A:

Q: Find the distance between the points

A: Given,          The two points are A2,8 and B-8,2.

Q: . Plot each pair of points and compute the distance between them:(a) (1, 4) and (3, 2) (b) (2, 1)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is…

Q: If the distance between the points is (x,7) and (1,15) is 10 .find the value of x

A:

Q: Find an expression for the distance between (a, b) and (a, c) if b > c.

A: we have to find an expression for the distance between (a, b) and (a, c) if b>c.

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)