The line 2x − y + 1 = 0 is tangent to yhe circle at the point (2,5) and yhe center of the circl lies on x – 2y = 4.then find the radius of the circle.

Q: For x^2+y^2-8x-4y+C=0 (a)If this is the equation of a circle with centre (4,2) and radius 3,find the…

A: Given…

Q: Q2/ Find the distance between the Line 2x - 2y + 1 = 0 & 3z + 2y = 4 to the Z-axis.

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Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

A:

Q: Find an equation of the diameter of circle x²+y²-6x+2y-15=0 which when produced passes through the…

A: Given, Equation of the circle x2 +y2 -6x+2y-15 =0  We have to find the equation of the diameter of…

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

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: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: The curve fx=arctanx. We have to find the equation of an osculating circle at the point x0=1.