Q.
If the pair of lines x2cosθ+3xytanθ−y2sinθ=0 are perpendicular to each other then θ
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a
π6
b
π4
c
π2
d
π3
answer is B.
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Detailed Solution
If the equation ax2+2hxy+by2=0represents a pair of perpendicular lines then a+b=0For the equation x2cosθ+3xytanθ−y2sinθ=0 a+b=cosθ−sinθEquate to zero, and then find the suitable value for θIt implies sinθ=cosθtanθ=1θ=π4Therefore, the value of θ is π4
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