(a) If the abscissa and ordinates of two points P and Q are the roots of the equations x\power{2}+2ax-b\power{2}=0 and x\power{2}+2px-q\power{2}=0 respectively, then find the equation of the circle with PQ as diameter. (b)Find the equation of the circle which passes through (1, 0) and (0, 1)  and has its radius as small as possible.

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:

Q: 3. Approximate integration formula | f(x)dx = aof (0) + a¡f (1/2) + azf(1) is exact functions f (x)…

A:

Q: Form the diffrential equation of the family of circle having a centre on y-axis and radius 3 units.

A: the objective is to find the differential equation of the family of circles having centre on y axis…

Q: 13) Write an equation of a circle with the center at the origin and which passes through the point…

A:

Q: - If the equation px² + (2−q)xy + 3y² − 6qx +3 e presents a circle then find the values of pand q.

A: Let the equation of the circle be           x2+y2+2gx+2fy+c=0        .....(1)If eq (1) passes…

Q: 2 If the equation px² + (2 − q)xy represents a circle then find tl JI £

A: In the equation px2+(2-q)xy+3y2-6qx+30y+6q=0of circle the xy term does not occurand the coefficients…

Q: If the equation px\power{2}+(2-q)xy+3y\power{2}-6qx+30y+6q=0 represents a circle then find the…

A: n the equation px2+(2-q)xy+3y2-6qx+30y+6q=0of circle the xy term does not occurand the coefficients…

Q: Find the equation of the circle that passes through the intersections of the circles x² + y²2 - 6x +…

A: The circle passes through the intersection of  S1=x2+y2-6x+4=0S2=x2+y2-2=0 The intersection of the…

Q: Find an equation of the circle passing through the points (2, 3), (-1, 6), and (5, 2).

A: Here we have to find the general equation of the circle with given 3 points (2, 3), (-1, 6), (5, 2).

Q: Write the standard form of the equation of the circle withcenter (h, k) = (4, - 1) and radius r = 3.

A:

Q: 6. The z-axis. Answer:

A:

Q: Find the e

A: We see that in the given circle: The coordinates of the center of the circle are (4, 6). The radius…

Q: 8. Based on the diagram below, what Is the measure of arc HK ? A. 24° (Zx+30) В. 96° С. 12° D. 132°…

A: As per guideline we have to solve one question

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: Find the distance from (-5, 9, -12) to each of the following: 1. The xy-plane. Answer: 2. The…

A:

Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: Find the equation of a circle that has a diameter with endpoints (5, 2) and (1, -6). A (x- 3)2 - (v…

A:

Q: The general equation for a circle is a(x? + y*) + bx + cy + d = 0. There is exactly one circle…

A: a=1, b=-7 c=-9 d=0

Q: Find the length of the common chord of the circles x\power{2}+y\power{2}+2x+6y=0 and…

A: The equation of the common chord PQ of the circles             S1:x2+y2+2x+6y=0and…

Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

A:

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).