Question

If two of the three feet of normals drawn from a point to the parabola $y ^ { 2 } = 4 x$be (1, 2) and (1, – 2)then the third foot is

• A. $( 2,2 \sqrt { 2 } )$
• B. $( 2 , - 2 \sqrt { 2 } )$
• C. $( 0,0 )$
• D. None of these

Answer 1

Answer: (C)

$( 0,0 )$

Answer 2

The sum of the ordinates of the foot =$y _ { 1 } + y _ { 2 } + y _ { 3 } = 0$

$\therefore 2 + ( - 2 ) + y _ { 3 } = 0 \Rightarrow y _ { 3 } = 0$