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MathsJEE Main 24 Jan 2026, Shift 2·Q3·MCQ·Moderate

Straight Lines · Parametric form of a line

Let the angles made with the positive xx-axis by two straight lines drawn from the point P(2,3)P(2, 3) and meeting the line x+y=6x + y = 6 at a distance 23\sqrt{\dfrac23} from the point PP be θ1\theta_1 and θ2\theta_2. Then the value of (θ1+θ2)(\theta_1 + \theta_2) is:
  1. (1)π12\dfrac{\pi}{12}
  2. (2)π6\dfrac{\pi}{6}
  3. (3)π2\dfrac{\pi}{2}
  4. (4)π3\dfrac{\pi}{3}

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See the full 24 Jan 2026, Shift 2 paper