jee-main 2021 Q66

jee-main · India · session4_31aug_shift1 Circles Tangent Lines and Tangent Lengths

The line $12 x \cos \theta + 5 y \sin \theta = 60$ is tangent to which of the following curves ?
(1) $x ^ { 2 } + y ^ { 2 } = 30$
(2) $144 x ^ { 2 } + 25 y ^ { 2 } = 3600$
(3) $x ^ { 2 } + y ^ { 2 } = 169$
(4) $25 x ^ { 2 } + 12 y ^ { 2 } = 3600$

The line $12 x \cos \theta + 5 y \sin \theta = 60$ is tangent to which of the following curves ?\\
(1) $x ^ { 2 } + y ^ { 2 } = 30$\\
(2) $144 x ^ { 2 } + 25 y ^ { 2 } = 3600$\\
(3) $x ^ { 2 } + y ^ { 2 } = 169$\\
(4) $25 x ^ { 2 } + 12 y ^ { 2 } = 3600$

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