jee-main 2022 Q65

jee-main · India · session2_27jul_shift2 Straight Lines & Coordinate Geometry Triangle Properties and Special Points

The equations of the sides $A B , B C$ and $C A$ of a triangle $A B C$ are $2 x + y = 0 , x + p y = 39$ and $x - y = 3$ respectively and $P ( 2,3 )$ is its circumcentre. Then which of the following is NOT true
(1) $( A C ) ^ { 2 } = 9 p$
(2) $( A C ) ^ { 2 } + p ^ { 2 } = 136$
(3) $32 <$ area $( \triangle A B C ) < 36$
(4) $34 <$ area $( \triangle A B C ) < 38$

The equations of the sides $A B , B C$ and $C A$ of a triangle $A B C$ are $2 x + y = 0 , x + p y = 39$ and $x - y = 3$ respectively and $P ( 2,3 )$ is its circumcentre. Then which of the following is NOT true\\
(1) $( A C ) ^ { 2 } = 9 p$\\
(2) $( A C ) ^ { 2 } + p ^ { 2 } = 136$\\
(3) $32 <$ area $( \triangle A B C ) < 36$\\
(4) $34 <$ area $( \triangle A B C ) < 38$

Paper Questions

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