The equation of a tangent parallel to y = x drawn to x 2 3 − y 2 2 = 1 , is Options: A . &nbsp x -y + 1 = 0 B . &nbspx - y + 2 = 0 C . &nbspx + y - 1 = 0 D . &nbspx + y – 2 = 0

Answer: Option A : A Let 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

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

Question

The equation of a tangent parallel to y = x drawn to

\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1

, is

Options:

A . x -y + 1 = 0

B . x - y + 2 = 0

C . x + y - 1 = 0

D . x + y – 2 = 0

Answer: Option A
:
A
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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