A 10 inches long pencil AB with mid-point C and a small eraser P are placed on the horizontal top of a table such that \PC=\\sqrt{5} inches and \\angle\PCB=\tan ^{-1}(2). The acute angle through which the pencil must be rotated about C so that the perpendiculardistance between eraser and pencil becomes exactly 1 inch is [26 Aug 2021 Shift 2]

Correct Answer is : tan−1(34)

JEE Main 26-Aug-2021 Shift 2 Solved Paper

Section: Mathematics

Question : 77 of 90

Marks: +1, -0

A 10 inches long pencil AB with mid-point C and a small eraser P are placed on the horizontal top of a table such that PC=√5 inches and ∠PCB=tan−1(2). The acute angle through which the pencil must be rotated about C so that the perpendiculardistance between eraser and pencil becomes exactly 1 inch is

[26 Aug 2021 Shift 2]

tan−1(
3
4
)
tan−1(1)
tan−1(
4
3
)
tan−1(
1
2
)

Validate

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