jee-advanced 2003 Q19

jee-advanced · India · screening Inequalities Identify Always-True Inequality from Options
19. If $a \hat { I } ( 0 , \Pi / 2 )$ then $\sqrt { } \left( x ^ { 2 } + x \right)$ is always greater than or equal to :
(a) $2 \tan a$
(b) 1
(c) 2
(d) $\quad \sec ^ { 2 } a$
The orthocentre of the triangle with vertices $( 0,0 ) , ( 4,0 )$ and $( 3,4 )$ is
19. If $a \hat { I } ( 0 , \Pi / 2 )$ then $\sqrt { } \left( x ^ { 2 } + x \right)$ is always greater than or equal to :\\
(a) $2 \tan a$\\
(b) 1\\
(c) 2\\
(d) $\quad \sec ^ { 2 } a$\\