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The pair of lines represented by 3ax2+ 5xy + (a2 - 2) y= 0 and at right angles to each other for
  • a)
    Two values of a
  • b)
    For all a
  • c)
    For one value of a
  • d)
    For no value of a
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The pair of lines represented by 3ax2+ 5xy + (a2 - 2) y2= 0 and at rig...
Two values of a:
- For the lines to be at right angles to each other, the product of their slopes must be -1.
- The slopes of the lines can be found by solving the given equation for y in terms of x and then taking the derivative.
- By equating the product of the slopes to -1, we can find the values of 'a' that satisfy this condition.
- By solving for two different values of 'a', we can find two sets of lines that are perpendicular to each other.
Therefore, for two values of 'a', the pair of lines represented by the given equation will be at right angles to each other.
This explanation shows how the conditions for the lines to be perpendicular can be used to find the values of 'a' that satisfy this requirement.
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The pair of lines represented by 3ax2+ 5xy + (a2 - 2) y2= 0 and at right angles to each other fora)Two values of ab)For all ac)For one value of ad)For no value of aCorrect answer is option 'A'. Can you explain this answer?
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