Question

The line y = 3x + a touch the hyperbola 9x2 - 5y2 = 45, then the value of 2 is (1) + 3 2) #2 3) + 6 4) ± √5​

Answer 1

Answer:

Given hyperbola may be written as,

5

x

2

−

9

y

2

=1

⇒a

2

=5,b

2

=9,c=λ,m=3

Now using condition of tangency, c

2

=a

2

m

2

−b

2

⇒λ

2

=5×9−9=36⇒λ=±6