SSC CGL 2 Sep 2016 Shif 2 Paper

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Question : 62 of 100

Marks: +1, -0

If y = 2secθ and x = 3 tanθ then

x^2*/9-y^2/4

is

0
–1
2
1

Solution:

y = 2 sec θ ⇒ sec θ =

y/2

and x = 3 tan θ ⇒ tan θ =

x/3

Since

sec^2 θ - tan^2 θ

= 1
⇒

y^2/4 - x^2/9

= 1
⇒

x^2/9 - y^2/4

= - 1

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