A line intersects the y axis and x axis

Asked by admin @ 16/08/2021 in Math viewed by 350 People

A line intersects the y axis and x axis at the points P and Q respectively . If ( 2 ,-5 ) is the mid point of PQ , then find the coordinates of P and Q .

Answered by admin @ 16/08/2021

Heya User,

→ Line Cuts x-axis and y-axis

=> Intercepts are : P( x , 0 ) ; Q( 0 , y )

→ Applying mid-point theorem on both points,
-> ( x / 2 ) = 2 ; ( y / 2 ) = -5
=> x = 4 ; y = -10

Hence, the two points are : P( 4 , 0 ) and Q( 0 , -10 )

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