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  • The range of values of α for which the line is a normal to the c

The range of values of α for which the line \mathrm{2 y=g x+a} is a normal to the circle \mathrm{x^2+y^2+2 g x+2 g y-2=0} for all values of g is

Option: 1

[1, \infty)


Option: 2

[-1, \infty)


Option: 3

(0, 1)


Option: 4

(-\infty, 1]


Answers (1)

best_answer

The line \mathrm{2 y=g x+a} should pass through (–g, –g) so,

\mathrm{-2 g=-g^2+\alpha \Rightarrow \alpha=g^2-2 g=(g-1)^2-1 \geq-1}

 

Posted by

Deependra Verma

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