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Particular Solution of a Differential Equation

If the angle ...

Question

If the angle between the two lines represented by $2 x^{2} + 5 x y + 3 y^{2} + 6 x + 7 y + 4 = 0$ is ${tan}^{- 1} m$ , then m =

1/5

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7/5

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Solution

The correct option is A
1/5

Angle = $t a n^{- 1} (\frac{2 \sqrt{\frac{25}{4} - 6}}{2 + 3}) = t a n^{- 1} (\frac{1}{5})$ and it is given by ${tan}^{- 1} m$ .Hence m = $\frac{1}{5}$ .

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