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Question

\(y = px\), where \(p \in Z\) passes through :

The correct answer is

(0, 0)

The equation \(y = px\) represents a straight line through the origin for every integer value of p, since substituting x = 0 always gives y = 0. Hence the line always passes through \((0, 0)\).

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Important Questions from Equation of a Line

  1. Determine the co-ordinates of the foot of the perpendicular drawn from the origin to the plane 4x - 2y + 3z - 6 = 0

  2. The equation xy – ax by + ab = 0 represents

  3. What are the direction ratios of the line of intersection of given planes?

  4. What is the equation of the line L?

  5. The equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and -6 is:
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