XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose equation is x? +y? + 4x+6y– 23=0.

Q: Find the equation of the smaller circle that touches the circles x2 +y2=1  and passes through the…

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Q: Does the point (-3,5) lie inside, outside or on the circle with the equation (x + 2)´ + (y – 4)² = 9

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Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: 2.Express the equation in standard form and indicate the center and radius, if a circle exists. a.…

A: Part a,Given,            x2+y2-10x-14y-7=0We know that,          The general equation of the circle…

Q: Draw a circle with an equation of x2+4x+y2−4y=1.

A: Given,

Q: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: The line with equation 2x – 3y = 10 touches the circle with centre M(-2, 4) at the point A. Find…

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Q: Determine the standard form of the equation of a circle which contains the point (-1, 1) whose…

A: Standard equation of circle with center (h , k)  and radius r :-               (x-h)2 + (y-k)2 = r2

Q: The point (-1,0) lies on the circle x2+y2-4x+8y+k=0 . Find the radius of the circle.

A: