If Two Pairs Of Straight Lines Having Equations have One Line Common Then a =

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Question

If two pairs of straight lines having equations have one line common then a =

None of these

medium

Solution

Correct option is

We have,

.

If y = 3x is a common, line then

If y = –4x is a common line, then

.

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SIMILAR QUESTIONS

Q1

The equation x³ + ax²y + bxy² + y³ = 0 represents three straight lines, two of which are perpendicular, then the equation of the third line is

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Q2

The combined equation of the lines L₁ and L₂ is 2x² + 6xy + y² = 0 and that of the lines L₃ and L₄ is 4x² + 18xy + y²= 0. If the angle between L₁and L₄ be α, then the angle between L₂ and L₃ will be

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Q3

The lines represented by and the lines represented by are equally inclined then

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Q4

The equation represents three straight lines passing through the origin such that

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Q5

If the equation represents two pairs of perpendicular lines, then

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Q6

The equation represents three straight lines passing through the origin such that

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Q7

If one of the lines represented by the equation is a bisector of the angle between the linesxy = 0, then λ =

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Q8

If θ is the angle between the straight lines given by the equation , then cosec² θ =

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Q9

The line y = mx bisects the angle between the lines

, if

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Q10

The point of intersection of the The Pair of Straight Lines given by

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