AP EAMCET · Maths · Straight Lines
If the equation \(4 x^2+h x y+y^2=0\) represent coincident lines, then ' \(h\) ' is equal to
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(D) 4
Step-by-step Solution
Detailed explanation
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.
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