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Statement 1 : The equations of tangents to the hyperbola {2}{x

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Statement 1 : The equations of tangents to the hyperbola $2 x^{2} - 3 y^{2} = 6$ which is parallel to the line $y = 3 x + 4$ are $y = 3 x - 5$ and $y = 3 x + 5 .$ Statement 2 : For a given slope, two parallel tangents can be drawn to the hyperbola.

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Statement 1 : The equations of tangents to the hyperbola

2 x^{2} - 3 y^{2} = 6

which is parallel to the line

y = 3 x + 4

are

y = 3 x - 5

and

y = 3 x + 5 .

Statement 2 : For a given slope, two parallel tangents can be drawn to the hyperbola.

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Question Text

Statement 1 : The equations of tangents to the hyperbola

2 x^{2} - 3 y^{2} = 6

which is parallel to the line

y = 3 x + 4

are

y = 3 x - 5

and

y = 3 x + 5 .

Statement 2 : For a given slope, two parallel tangents can be drawn to the hyperbola.

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