Pair of Straight Lines

1. A.
   $\dfrac{2ab}{3}$
2. B.
   $\dfrac{3ab}{2}$
3. C.
   $\dfrac{24ab}{25}$
4. D.
   $\dfrac{25ab}{24}$

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1. A.
   $x^2 + 3xy - 2y^2 = 0$
2. B.
   $2x^2 - 3xy + y^2 = 0$
3. C.
   $2x^2 - xy + 3y^2 = 0$
4. D.
   $2x^2 + 3xy - 2y^2 = 0$

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1. A.
   $\theta_1 = \theta_2$
2. B.
   $\theta_1 = 2\theta_2$
3. C.
   $2\theta_1 = \theta_2$
4. D.
   $\theta_1 + \theta_2 = \dfrac{\pi}{2}$

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1. A.
   $(1, 3)$
2. B.
   $\left(\dfrac{1}{2}, \dfrac{3}{2}\right)$
3. C.
   $\left(\dfrac{3}{2}, \dfrac{1}{2}\right)$
4. D.
   $(0, -1)$

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1. A.
   $x^2 - xy - x + 4y - 12 = 0$
2. B.
   $xy - y^2 - 4x + 7y - 12 = 0$
3. C.
   $x^2 + 2xy - y^2 + 7 = 0$
4. D.
   $xy - 2y^2 + 3x + 2y + 17 = 0$

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1. A.
   $\pm \frac{7}{2}$
2. B.
   $\pm \frac{1}{2}$
3. C.
   $\pm \frac{5}{2}$
4. D.
   $\pm \frac{2}{5}$

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1. A.
   $1, 3$
2. B.
   $1, 2$
3. C.
   $1, -3$
4. D.
   $1, -2$

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1. A.
   $8h^3 - 6abh + b^3 = 0$
2. B.
   $b^3 + 2h(4h^2 - ab) = 0$
3. C.
   $3h^3 = 4ab^2$
4. D.
   $a^2 + 2h^3 + 3b^2 = 1$

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1. A.
   $\sqrt{2} : 1$
2. B.
   $2 : 1$
3. C.
   $\sqrt{3} : 1$
4. D.
   $1 : 3$

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1. A.
   $\frac{2}{5}$
2. B.
   $\frac{35}{2}$
3. C.
   $\frac{5}{2}$
4. D.
   $\frac{7}{5}$

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