the area of the triangle formed by two tangents from(1,1) to x^2+y^2+4x+6y+4=0 and their chord of contact is - Maths - Conic Sections

Question

the area of the triangle formed by two tangents from(1,1) to
x^2+y^2+4x+6y+4=0 and their chord of contact is

Rahul Raj · Accepted Answer

dear student

circle isx2+y2+4x+6y+4=0(x+2)2+(y+3)2=9centre is (-2,-3) and radius=3length of tangent from (1,1) to the circle is=x12+y12+4x1+6y1+4=12+12+4+6+4=4area of mentioned triangle formed=2×area of two right angled triangles with perpendicular and bases as 4 and 3=2×12×4×3=12 square units

regards