Find the locus of the centers of the circles x² + y²-2ax-2by- +2=0, where a and b are parameters, if the tangents from the origin to each of the circles are orthogonal.

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: Find the equation of the circle in standard form centered at (1, 4) passing through the point (5,…

A: Standard form of a circle:

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

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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 of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

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Q: Find a set of parametric and symmetric equations of the line satisfying the following Passing…

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Q: Find parametric equations for the line of slope 6 that passes through the point (7,9). (Use t as…

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Q: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: The standard equation of the circle with center (-1,-4) :and tangent to x-axis is اخترأحد الخیارات…

A: Stranded equations of the circle passing through center (h,k).