Question:
The equation of tangents to the hyperbola \( 3x^2 - 2y^2 = 6 \) which is perpendicular to the line \( x - 3y = 3 \) is
The equation of tangents to the hyperbola \( 3x^2 - 2y^2 = 6 \) which is perpendicular to the line \( x - 3y = 3 \) is
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The equation of a tangent to a hyperbola can be found by using the general formula and applying conditions like perpendicularity to another line.
Updated On: Jan 12, 2026
- \( x = 3\sqrt{5} \)
- \( y = 3\sqrt{5} \)
- \( x = -3\sqrt{6} \)
- \( y = -3\sqrt{6} \)
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The Correct Option is C
Solution and Explanation
The equation of tangents to a hyperbola can be determined by applying the condition for perpendicularity to the given line and using the equation of the hyperbola.
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