JEE MAIN - Mathematics (2019 - 11th January Morning Slot - No. 6)

A square is inscribed in the circle x2 + y2 – 6x + 8y – 103 = 0 with its sides parallel to the coordinate axes. Then the distance of the vertex of this square which is nearest to the origin is :
$$\sqrt {137} $$
6
$$\sqrt {41} $$
13

Explanation

JEE Main 2019 (Online) 11th January Morning Slot Mathematics - Circle Question 122 English Explanation
R $$ = \sqrt {9 + 16 + 103} = 8\sqrt 2 $$

OA $$ = 13$$

OB $$ = \sqrt {265} $$

OC $$ = \sqrt {137} $$

OD $$ = \sqrt {41} $$

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