Two Of The Lines Represented By x3 – 6x2y + 3xy2 + dy3 = 0 Are Perpendicular For   

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Question

Two of the lines represented by x3 – 6x2y + 3xy2 + dy3 = 0 are perpendicular for   

Solution

Correct option is

Two real values of d

Product of the slopes is given by m1m2m3 = –1/d.

If m1 m2 = –1, then m3 = 1/d and m3 satisfies the equation

    dm3 + 3m3 – 6m + 1 = 0  

⇒ d2 – 6d + 4 = 0 which gives two real values of d. 

SIMILAR QUESTIONS

Q1

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Q2

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Q3

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Q4

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Q5

 

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Q6

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Q8

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Q9

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Q10

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