The difference of the slope of line $3 x^{2} - 8 x y - 3 y^{2} = 0$ is

\frac{3}{10}

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\frac{10}{3}

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\frac{- 3}{10}

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\frac{- 10}{3}

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Solution

The correct option is A $\frac{10}{3}$
${3 x}^{2} - 8 x y - {3 y}^{2} = 0$

${3 x}^{2} - 9 x y + x y - {3 y}^{2} = 0$

$3 x (x - 3 y) + y (x - 3 y) = 0$

$(3 x + y) (x - 3 y) = 0$

the equations are $(3 x + y), (x - 3 y)$

slope of $(3 x + y) = 0 \Rightarrow m_{1} = \frac{- 1}{3}$

slpe of $(x - 3 y) = 0 \Rightarrow m_{2} = 3$

The difference in slope is

$3 - \frac{- 1}{3} = \frac{10}{3}$

Correct option is B

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Similar questions

Let $P Q R$ be a right angled isosceles triangle right angled at $P (2, 1)$ . If the equation of the line $Q R$ is $2 x + y = 3$ , then the equation representing the pair of lines $P Q$ and $P R$ is

Q. The equation

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and

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represent the sides of

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represents the sides of a triangle which is

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and

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The difference of the slope of line 3x2−8xy−3y2=0 is

The correct option is A 1033x2−8xy−3y2=03x2−9xy+xy−3y2=03x(x−3y)+y(x−3y)=0(3x+y)(x−3y)=0the equations are (3x+y),(x−3y)slope of (3x+y)=0⇒m1=−13slpe of (x−3y)=0⇒m2=3The difference in slope is 3−−13=103Correct option is B

The difference of the slope of line $3 x^{2} - 8 x y - 3 y^{2} = 0$ is