If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle then find the radius of the circle. Prove that for all values of ?,the locus of the point of intersection of the lines                      x cos?+y sin?=a and x sin?-y cos?=b  is a circle.

Q: Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle…

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Q: Create the formula for circles with center on the line y = -x and passes through the origin

A: Introduction The equation of circle gives an algebraic approach to define a circle given its centre…

Q: 1. Use the distance formula to find the distance between two points with coordinates (6, 4) and (1,…

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Q: Each of two tangents to the circle x² + y² = 25 has a slope 2. Find the points of contact.

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Q: If a circle passes through the point (0,0),(a,0) and (0,6), then find its center.

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Q: What are the coordinates of point P on the unit circle U if the real number t = (-15π/2)?

A: We have to find coordinate point P on the unit circle for t=-15π2

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)

Q: A point T stays in the same location when it is reflected over line l. What can you conclude about…

A: Here, give that a point T stays in the same location when it is reflected over line l.

Q: 2. a) The figure below identifies two points P and Q. Write the coordinates of P and Q in terms of a…

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Q: it is the positive acute angle formed by the terminal side of a given angle and its x axis

A: Topic = Geometry