NDA_Math_2025_Q117

Question:

What is the nature of the curve?

What is the nature of the curve?

Options:

  • a) A straight line passing through (1, 4)
  • b) A straight line passing through (-1, 4)
  • c) A parabola with vertex at origin and focus at (2, 0)
  • d) A parabola with vertex at origin and focus at (1, 0)
  • a) A straight line passing through (1, 4)
  • b) A straight line passing through (-1, 4)
  • c) A parabola with vertex at origin and focus at (2, 0)
  • d) A parabola with vertex at origin and focus at (1, 0)

correct answer : a)

Explanation:

\ dy
dx
= 4 Þ ∫dy = ∫4dx
y = 4x + c
\ it passes through (0, 0) then c = 0
\ y = 4x
Hence it is an equation of a straight line passing
through (1, 4)

\ dy
dx
= 4 Þ ∫dy = ∫4dx
y = 4x + c
\ it passes through (0, 0) then c = 0
\ y = 4x
Hence it is an equation of a straight line passing
through (1, 4)

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