SpletThe inverse point of (1, 2) with respect to the circle x2+y2−4x−6y+9=0 is. Q. The angle between a pair of tangents drawn from a point P to the circle x2+y2+4x−6y+9sin2α+13cos2α=0 is 2α. The equation of the locus of the point P is. Q. Find the pole of the line 3x + 5y + 17 =0 with respect to the circle x2+y2+4x+6y+9=0. SpletAnswer (1 of 5): What is the area of the following circle x^2+y^2-4x+6y-12=0? Analysis The well known formula for the area of a circle is ( pi )r². To use this formula we need to know the value of the radius “ r “. From the standard (General Equation) of a …

The inverse of the point 1,2 with respect to the circle x2+y2 4x 6y+9=0…

SpletThe equation of the circle P is given by x2 + y2 – 4x + 6y – 12 = 0. (a) Find the coordinates of its center and radius. (b) Find the perpendicular distance from the centre of P to the line 3x + 4y = k in terms of k, where k is a … SpletHence the equation of the tangent perpendicular to the given line is x - y + 4 √2 = 0. (ii) Since the tangent line drawn to the circle x 2 + y 2 = 16 is parallel to the line x + y = 8, the slopes of the tangent line and given line will be … simple column subtraction worksheet

Circle Mathematics JEE Main Previous Year Questions

Splet10. jan. 2024 · The general equation of the circle is given as: x 2 + y 2 + 2gx + 2fy + c = 0. On comparing general and obtained equation, ⇒ g = -4; f = 5; c = 16. The radius is given by … SpletThe quadratic equation has a repeated root, so has exactly one solution. This means that the line 4x+3y= 25 4 x + 3 y = 25 is a tangent to the circle x2 +y2 =25. x 2 + y 2 = 25. We … Splet30. mar. 2024 · Ex 11.1, 7 Find the centre and radius of the circle x2 + y2 – 4x – 8y – 45 = 0 Given x2 + y2 – 4x – 8y – 45 = 0. We need to make this in form (x – h)2 + (y – k)2 = r2 From (1) x2 – 4x + y2 – 8y = 45 (x2 – 2 (x) (2)) + (y2 – 2 (y) (4)) = … simple columnar number of layers