If the equation $4 x^2+h x y+y^2=0$ represent coincident lines, then ' $h$ ' is equal to

If the equation $4 x^2+h x y+y^2=0$ represent coincident lines, then ' $h$ ' is equal to
  1. 1
  2. 2
  3. 3
  4. 4

Solution

Since the equation $4 x^2+h x y+y^2=0$ represents the coincident lines, then $ \begin{aligned} \left(\frac{h}{2}\right)^2-4 & \times 1=0 \\ \Rightarrow h & =-4,4 \end{aligned} $ Hence, option (4) is correct

Asked in: AP EAMCET 2020 (22 Sep Shift 1)

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