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Question

Under what condition will the lines m2x + ny - 1 = 0 and n2x - my + 2 = 0 be perpendicular?

This question was previously asked in
NDA 2 2025 GAT Question Paper (14-Sep-2025)
The correct answer is

mn - 1 = 0

For the lines to be perpendicular, the condition is mn - 1 = 0.

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Similar Questions

  1. What are the direction ratios of the line?
  2. What is the point of intersection of L and P?
  3. What is the equation to the straight line passing through the point \((-\sin\theta, \cos\theta)\) and perpendicular to the line \(x\cos\theta + y\sin\theta = 9\)?
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Important Questions from Equation in a Line

  1. What are the direction ratios of the line?
  2. What is the point of intersection of L and P?
  3. What is the equation to the straight line passing through the point \((-\sin\theta, \cos\theta)\) and perpendicular to the line \(x\cos\theta + y\sin\theta = 9\)?
  4. Two points $P$ and $Q$ lie on line $y = 2x + 3$. These two points $P$ and $Q$ are at a distance $2$ units from another point $R(1, 5)$. What are the coordinates of the points $P$ and $Q$?
  5. If two sides of a square lie on the lines $2x+y-3=0$ and $4x + 2y + 5 = 0$, then what is the area of the square in square units ?
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