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The lines represented by the equation 5x^2 - 6xy + y^2 = 0 intersect at which po

Practice Questions

Q1
The lines represented by the equation 5x^2 - 6xy + y^2 = 0 intersect at which point?
  1. (0,0)
  2. (1,1)
  3. (2,2)
  4. (3,3)

Questions & Step-by-Step Solutions

The lines represented by the equation 5x^2 - 6xy + y^2 = 0 intersect at which point?
  • Step 1: Understand that the equation 5x^2 - 6xy + y^2 = 0 represents two lines.
  • Step 2: To find the intersection point of these lines, we can substitute x = 0 and y = 0 into the equation.
  • Step 3: Substitute x = 0 into the equation: 5(0)^2 - 6(0)(y) + y^2 = 0, which simplifies to y^2 = 0.
  • Step 4: Solve y^2 = 0, which gives y = 0.
  • Step 5: Now we have x = 0 and y = 0, so the intersection point is (0, 0).
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