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If the chords of contacts of the tangents from the points
$(x_{1}, y_{1}) and (x_{2}, y_{2}) to the hyperbola 2 x^{2} - 3 y^{2} = 6$
are at right angle, then $4 x_{1} x_{2} + 9 y_{1} y_{2}$ is equal to

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Correct option is B

Equation of the chords of contacts are2xx1−3yy1=6,2xx2−3yy2=6Since they are at right angles 2x13y1×2x23y2=−1⇒ 4x1x2+9y1y2=0.

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If the chords of contacts of the tangents from the pointsx1, y1 and x2, y2 to the hyperbola 2x2−3y2=6are at right angle, then 4x1x2+9y1y2 is equal to

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the chords of contacts of the tangents from the points
$(x_{1}, y_{1}) and (x_{2}, y_{2}) to the hyperbola 2 x^{2} - 3 y^{2} = 6$
are at right angle, then $4 x_{1} x_{2} + 9 y_{1} y_{2}$ is equal to