jee-main 2019 Q68

jee-main · India · session2_08apr_shift2 Circles Area and Geometric Measurement Involving Circles
The tangent and the normal lines at the point $( \sqrt { 3 } , 1 )$ to the circle $x ^ { 2 } + y ^ { 2 } = 4$ and the $x$-axis form a triangle. The area of this triangle (in square units) is:
(1) $\frac { 1 } { 3 }$
(2) $\frac { 2 } { \sqrt { 3 } }$
(3) $\frac { 4 } { \sqrt { 3 } }$
(4) $\frac { 1 } { \sqrt { 3 } }$
The tangent and the normal lines at the point $( \sqrt { 3 } , 1 )$ to the circle $x ^ { 2 } + y ^ { 2 } = 4$ and the $x$-axis form a triangle. The area of this triangle (in square units) is:\\
(1) $\frac { 1 } { 3 }$\\
(2) $\frac { 2 } { \sqrt { 3 } }$\\
(3) $\frac { 4 } { \sqrt { 3 } }$\\
(4) $\frac { 1 } { \sqrt { 3 } }$