Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the representative members of the 2 families in one Cartesian plane. Given family of curves: DE of the given family: OTDE: OT:

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: 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: Find the point(s) of intersection of two circles, one centered at the origin and, the other,…

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Q: Find the value(s) of k such that the points (6, –1), (3, k), and (-3, –7) are vertices of a right…

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Q: For each curve in Figure 31, state whether it is symmetric with respect to the y-axis, the origin,…

A: To state whether it is symmetric with respect to the y-axis, the origin, both, or neither.

Q: nd the equation of the circle having center at (2,3) and which touches x+y=1.

A: Provided that the (2,3) is the center of circle and this circle touches the line x+y=1 .We can…

Q: Which point is NOT on the circle defined by y + (x – 3)² = 49? (-4, 0) Select (3, 0) Select (3, –7)…

A: The given equation of circle is: y2+(x-3)2=49

Q: Find an equation of the circle that satisfies the given condition: The circle that contains the…

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Q: Find the center and radius of the circle with the given equation (x – 5) + (y+ 3) = 49 O(-5, 3); 49…

A: Given that the equation is     (x - 5)2 + ( y + 3)2 = 49 Here we have to find the center and radius…

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: 8. Line segment PQ has endpoints P(3, – 2) and Q(2, 4). The translation (x, y) → (x – 3, y + 5) maps…

A: Guven, line segment pQhas endpoint p(3,-2) and Q(2,4)