Find the equation of the circle passing through the points (i) ` (0,0), (5, 0) and (3, 3)` (ii) ` (1, 2 ), ( 3, - 4) and ( 5, - 6)` (iii) ` ( 20, 3) ,

Question

Find the equation of the circle passing through the points (i) ` (0,0), (5, 0) and (3, 3)` (ii) ` (1, 2 ), ( 3, - 4) and ( 5, - 6)` (iii) ` ( 20, 3) ,

Find the equation of the circle passing through the points
(i) ` (0,0), (5, 0) and (3, 3)`
(ii) ` (1, 2 ), ( 3, - 4) and ( 5, - 6)`
(iii) ` ( 20, 3) , (19, 8) and (2, -9)`
Also, find the centre and radius in each case.

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

Find the equation of a plane passing through the points A(2,1,2) and B(4,-2,1) and perpendicular to plane `vec(r ).(hat(i)-2hat(k))=5`. Also, find the

2 Answers 6 Views

Management itself expands - (A) Through delegation (B) Through Centralisation (C) Through decentralisation (D) Through all

2 Answers 14 Views

If (6, -8) and (-6, 8) are the coordinates of the ends points of the diameter of a circle, then the coordinates of the centre of the circle are –

2 Answers 4 Views

Find the points of local maxima or minima and corresponding local maximum and minimum values of `f(x)=x^3-6x^2+9x+15` . Also, find the points of infle

2 Answers 6 Views

Find the value of `p `for which the line through the points `A(4, 1, 2)` and `B(5,p,0)` is perpendicular to the line through the points `C(2, 1, 1) `a

2 Answers 5 Views

Find the equations of the line passing through the point (1,-2,3) and parallel to the line `(x-6)/(3) =(y-2)/(-4) =(z+7)/(5)` Also find the vector for

2 Answers 4 Views

Find the slope and the equation of the line passing through the points: (i)(3,-2) and (-5,-7) (ii)(-1,1) and (2,-4) (5,3) and (-5,-3) (iv) (a,b) and (

2 Answers 4 Views

If A(1, 4, B(2, 3) and C(-1,-2) are the vertices of a `triangle ABC`, find the equation of (i) the median through A (ii) the altitude through A (iii)

2 Answers 6 Views

Find the equation of the circle passing through the point `(-1,3)` and having its centre at the point of intersection of the lines `x-2y=4` and `2x+5y

2 Answers 10 Views

Find the equation of the circle, the coordinates of the end points of one of whose diameters are (i) ` A (3, 2 ) and B(2, 5)` (ii) `A (5, - 3) and B(2

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - (i) `x ^(2)+ y ^(2)- 5x - y = 0 `, centre ` ((5)/(2), (1)/(2))` and radius = ` (sqrt( 26))/( 2)`
(ii) ` x ^(2) + y ^(2) - 22x - 4y + 25 = 0`, centre ` (11,2) ` and radius = 10
(iii) ` x ^(2) + y ^(2) - 14 x - 6y - 111 = 0 `, centre ` (7, 3)` and radius = 13

4 views Answered 2023-02-05 15:29