If the sum of the slopes of the lines given by $4 x^2+2 \lambda x y-7 y^2=0$ is equal to the product of the slopes, then $\lambda$ is equal to

Question

Aicharya · Accepted Answer

$\begin{aligned} & 4 x^2+2 \lambda x y-7 y^2=0 \ & a=4,2 h=2 \lambda, b=-7 \end{aligned}$ Given, sum of slopers = product of slopers $\begin{aligned} m_1+m_2 & =m_1 m_2 \ \frac{-2 h}{b} & =\frac{a}{b} \ \frac{-2 \lambda}{-7} & =\frac{4}{-7} \ \lambda & =-2 \end{aligned}$ Hence, option (c) is correct.

If the sum of the slopes of the lines given by \(4 x^2+2 \lambda x y-7 y^2=0\) is equal to the product of…

Solution