If the lines represented by the equation 2 x 2 - p x y + 2 y 2 = 0 are real then the value of ' p '…

If the lines represented by the equation 2x2-pxy+2y2=0 are real then the value of ' p ' lies in the interval
  1. [-4,4]
  2. [-4,4)
  3. (-,-4)(4,)
  4. (-4,4]

Solution

As we know, ax2+2hxy+by2=0, represents a pair of straight lines when h2-ab0

So, 2x2-pxy+2y2=0

represent pair of straight lines iff

p24-40

 p-4p+40

p-,-44,

Asked in: AP EAMCET 2021 (20 Aug Shift 2)

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