The equation of a tangent parallel to y - x drawn to x 2-3- y 2-2-1- isA- x-y-1-0B- x-y-2-0C- x-y-1-0D- x-y-2-0

The correct option is A x y + 1 = 0Let y = x + c be a tangent to x^2/3 y^2/2=1, then c^2 = 3 2 = 1 ⇒ c =± 1 So, the required tangents are y = x ± 1 ...

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Standard XII

Mathematics

Slope Form of Tangent: Ellipse

The equation ...

Question

The equation of a tangent parallel to y = x drawn to $\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1$ , is

x -y + 1 = 0

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x - y + 2 = 0

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x + y - 1 = 0

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x + y – 2 = 0

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Solution

The correct option is A x -y + 1 = 0
Let y = x + c be a tangent to $\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1$ , then $c^{2} = 3 - 2 = 1$ $\Rightarrow$ $c = \pm 1$ So, the required tangents are $y = x \pm 1$

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The equation of a tangent parallel to y = x drawn to x23−y22=1, is

The correct option is A x -y + 1 = 0Let y = x + c be a tangent to x23−y22=1, then c2=3−2=1 ⇒ c=±1 So, the required tangents are y=x±1

The equation of a tangent parallel to y = x drawn to $\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1$ , is

The correct option is A x -y + 1 = 0
Let y = x + c be a tangent to $\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1$ , then $c^{2} = 3 - 2 = 1$ $\Rightarrow$ $c = \pm 1$ So, the required tangents are $y = x \pm 1$