A secant to two congruent circles, which is parallel to the line of centers OO', meets the first circle at the points A and B, and the second one at the points A' and B'. Prove that AA' = BB' = OO'

Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: ARST Is translated so that point R (-2, 1) Is mapped to point R' (2, -4). Which ordered pair best…

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Q: -3- Identify ALL the new coordinates of polygon ABCD after a translation of 2 units up and 4 units…

A: I'm providing hand written solution for better understanding. It's translation of coordinate…

Q: 6) Graph the points z = x+ iy that satisfy the given conditions:- a) z-1= 2 b) z+ 1= 1 (ans. : on…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Suppose you go up a hill whose shape is given by the equation z = 1000 - 0.005x2 - 0.01y2, where x,…

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

Q: OA, OB and OC, with O as the origin, are three mutually perpendicular lines whose direction cosines…

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Q: 18) B. Suppose that rectangle ABCD is dilated to A'B'C'D' using (0, 0) as the center and a magnitude…

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Q: The roots of the characteristic equation of y"-7y=0 are: Select one: a. 7,7 b. 17, -17 O C7,-7 d. 0,…

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Q: Consider triangle JKL. If triangle JKL is reflected across the z-axis and then translated 3 units…

A: We have to find the coordinate

Q: O Find the coordinates of points where a line intersects a circle.

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Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: Find the locus of the midpoint of the chords of the circle x² + y² = a² which subtend a right angle…

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Q: In the coordinate plane, Point B is 1 unit directly above Point A. When Points A and B are reflected…

A: Given that point B in coordinate plane is 1 unit directly above point A Points A and B are reflected…

Q: In AXYZ, XYZ is trisected by line segments YW and YV with X-W V-Z. If m/YXW = 63° and m/YWV = 95°,…

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Q: Q4. equation of circle x² + y² - 6x-2y +6 = 0 2 )2 (x-3)² + (y-13² = 4 circle with center line y =…

A: Note: As per your request, the solution is in digital format is given below.   Q4.  Equation of…

Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

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Q: 37. Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of…

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Q: If B (-2, 6) is rotated 270°, what are the coordinates of B'? O B'(2, 6) O B'(-6, -2) O B'(-6, 2) O…

A: In first quadrant x, y both are positive In second quadrant x is negative y is positive In third…

Q: 10. The distance between the point (3,-2,5) and the plane 2x+2y+z=5 is NONE

A: Given: The distance between (3,-2,5) and the plane 2x+2y+z=5

Q: 22) The given equ" of the circle (x+12) ² + (y + 5) ² = 169 Here centre of the circle ins (-12,-5)…

A: The following is the digital format of the given text.

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

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Q: What is the distance from point T(12, -5) to S(-8, 14)?

A: We have to find the distance from point T(12, -5) to S(-8, 14).

Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.