Let L be a line tangent to the circles C(O1,8) and C(O2,22) at points P and Q, respectively. If O1O2=50, find PQ. Note: C(O,r) is a circumcircle of the triangle and O is a circumcenter of the triangle.

Q: Let c1= ((c1x,c1y), r1) and c2= ((c2x,c2y) , r2) be two circles and p = (px,py) be a point. Decide…

A: As per the above, we aim to determine the relationship between a point and two given circles, and…

Q: Find the center and radius of the circle with the given equations. a. x² + y² = 48 b. 3x² + 3y² = 21…

A: Here in given equations a, b, c we have to find the center and radius of the equation.

Q: 4) Determine if (,1) is a point on the unit circle V3 5) If the point (x,) lies on the unit circle,…

A: Standard form of a circle is given by the equation (x-h)2+(y-k)2=r2, where (h,k) is the center of…

Q: ombus D С-а, 0) B(0, -b) E.

A:

Q: 2. Determine the center and the radius of each circle. a) (x+1)2 + (y – 1)2 = 16 b) (x - 2)2 + y² =…

A: We have to determine the centre and the radius of each given circle

Q: A. Determine the center and radius of the following circles. 1. x2 + y2 – 8x + 2y + 13 = 0 2. х2 +…

A: As per the company guidelines we can solve first three parts  . I hope that the given solution will…

Q: In right AOAT, M is the midpoint of AT. a. M has coordinates (?, b. Find, and compare, the lengths…

A: In right triangle OAT, given coordinates are O(0, 0), A(0, 8) and T(-6, 0)

Q: The line y = x + c cuts the circle with centre at M(2, 3) and radius 4. For what values  of c:

A: Formula used1) quadratic formula 2) squaring formula

Q: A circle is centered at the origin (0, 0) and has a radius of 5 units. a. Which points on the circle…

A:

Q: c. The point A is on the unit circle. Find A(x, y) from the given information.The y -coordinate of A…

A:

Q: In the diagram below, chords ED and AB of the circle C(O, r) meet at right angles at a point F such…

A: See the explanation below

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

A:

Q: 14.) Using the equation of a circle (x- 3)² + y? = 49 find the radius and the center:

A:

Q: Evaluate y dA, where D is the triangle D with vertices (1, 1), (2, 1), and (0, 2). Select one: 2 a.…

A:

Q: Given points P(5, 2, -1), Q(2, -3, 0), T(4, 2, 4) foms the triangle. Find the interior angle at Q

A:

Q: 8 units away from

A: Given that: Coordinates of A(0,0) and B(12,5)C is 8 units away from AB.

Q: Find orthogoral trajectory to the family of dircles 3 x² + y? = 2Cy.

A: We have given equation of curve x2+y2=2Cy Then, differentiate both sides we get…

Q: In kite ABCD below, point E is the midpoint of BD. What are the coordinates of point D? E(10,4) В…

A: Mid point of the line joining two points (x1,y1)  and (x2,y2) is given by M=((x1+x2)/2 , (y1+y2)/2)

Q: A

A:

Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: Let P, Q, and R be the points at1 on the x-axis, 2 on the y-axis, and 3 on the z-axis, respectively.…

A:

Q: A circle is centered at the origin (0, 0) and has a radius of 4 units. a. Which points on the circle…

A: We need to find the points with the given conditions and equation of the circle.Below find the…

Q: A. Determine the center and radius of the following circles. 1. (x - 4)2 + y + 8)? = 100 2. (x + 1)²…

A: I have answered first three subparts as per the guidelines.