Find the separate equations of pair of straight lines $y^{2} - 9 x y + 10 x^{2} = 0$

y = 9x

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y = 6x

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y = 2x

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y = 3x

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Solution

The correct options are
B
y = 6x

D
y = 3x

Pair of straight lines $y^{2} - 9 x y + 18 x^{2} = 0$

Divide $y^{2}$ in both sides

$18 (\frac{x}{y})^{2} - 6 (\frac{x}{y}) - 3 (\frac{x}{y}) + 1 = 0$

$[6 (\frac{x}{y}) - 1] [3 (\frac{x}{y}) - 1] = 0$

$\frac{6 x}{y} - 1 = 0 o r \frac{3 x}{y} - 1 = 0$

y = 6x y = 3x

separate equations are

y = 6x and y = 3x

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Similar questions

Equation $2 x^{2} + 5 x y + 3 y^{2} + 6 x + 7 y + 4 = 0$ represents a pair of straight lines. Find the separate straight lines.

3 x^{2} + 6 x^{2} y + 9 x y^{2}

y = (2 - \sqrt{3}) x + 5

y = (2 + \sqrt{3}) x - 7

6 x^{2} + x y + k y^{2} - 11 x + 43 y - 35 = 0.

x - y \sqrt{3} = 5

\sqrt{3} x + y = 7

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