Question:
The angle between lines joining the origin to the point of intersection of the line \( \sqrt{3}x + y = 2 \) and the curve \( y^2 = x^3 \) is?
The angle between lines joining the origin to the point of intersection of the line \( \sqrt{3}x + y = 2 \) and the curve \( y^2 = x^3 \) is?
Show Hint
To calculate the angle between two lines, use the formula involving their slopes.
Updated On: Jan 12, 2026
- \( \frac{\pi}{4} \)
- \( \frac{\pi}{3} \)
- \( \frac{\pi}{2} \)
- \( \frac{\pi}{6} \)
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The Correct Option is A
Solution and Explanation
By solving the system of the equation \( \sqrt{3}x + y = 2 \) and \( y^2 = x^3 \), we find the point of intersection and calculate the angle between the lines joining the origin and the intersection.
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