Let two tangents are drawn to the curve y2−4(x+y)=3sinθ+4cosθ−15, x,y,θ∈R from the origin whose slopes are m1,m2. If the vertex of the curve is at maximum distance from the origin, then the value of ∣∣∣1m1m2∣∣∣ is

Let two tangents are drawn to the curve y2−4(x+y)=3sinθ+4cosθ−15

1.	Let two tangents are drawn to the curve y2−4(x+y)=3sinθ+4cosθ−15, x,y,θ∈R from the origin whose slopes are m1,m2. If the vertex of the curve is at maximum distance from the origin, then the value of ∣∣∣1m1m2∣∣∣ is
Answer» Let two tangents are drawn to the curve $y^{2} - 4 (x + y) = 3 sin θ + 4 cos θ - 15, x, y, θ \in R$ from the origin whose slopes are $m_{1}, m_{2}$ . If the vertex of the curve is at maximum distance from the origin, then the value of $∣ ∣ ∣ \frac{1}{m_{1} m_{2}} ∣ ∣ ∣$ is