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Straight Lines and Lines Joining Origin to Intersection Points - Class XI

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Multiple Choice

The direction with $+x-axis$ in which a straight line will be drawn through the point $\left(1,2\right)$ so that its point of intersection with the line $x+y=4$ may be at a distance $\sqrt { \dfrac { 2 }{ 3 }  }$ from the point $\left(1,2\right)$ can be:

  1. ${15}^{o}$
  2. ${30}^{o}$
  3. ${45}^{o}$
  4. ${75}^{o}$