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If the lines represented by kx2 − 3xy + 6y2 = 0 are perpendicular to each other, then - Mathematics and Statistics

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Question

If the lines represented by kx2 − 3xy + 6y2 = 0 are perpendicular to each other, then

Options

  • k = 6

  • k = − 6

  • k = 3

  • k = − 3

MCQ
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Solution

k = − 6

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Chapter 4: Pair of Straight Lines - Miscellaneous Exercise 4 [Page 129]

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Choose correct alternatives:

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Find the cartesian equation of the line which passes ·through the point (– 2, 4, – 5) and parallel to the line given by.

`(x + 3)/3 = (y - 4)/5 = (z + 8)/6`


Find the vector equation of a line passing through a point with position vector `2hati - hatj + hatk` and parallel to the line joining the points `-hati + 4hatj + hatk` and `-hati + 2hatj + 2hatk`.


Find the vector equation of the lines passing through the point having position vector `(-hati - hatj + 2hatk)` and parallel to the line `vecr = (hati + 2hatj + 3hatk) + λ(3hati + 2hatj + hatk)`.


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