Most Important Selected Qs for JEE AdvancedMathematicsParabola

If all chords of the parabola y^2=4 x+4 which subtends a right angle at point (1,2 2 ) passes through a fixed point ( , ) , then the value of | + +2 2 +3| is equal to

Correct answer

Step-by-step solution

Shifting origin at (1,2 2 )(Y+2 2 )^2=4(X+1)+4 Let chord is Y=m X+cY^2+4 2 Y ( Y-m X c )-4 ( Y-m X c )=0 Coefficient of X^2+ coefficient Y^2=0 aligned & 1+ 4 2 c + 4 m c =0 & c+4 2 +4 m=0 & Y=m X-4 2 -4 m & (Y+4 2 )-m(X-4)=0 & X=4, Y=-4 2 & X=5, y=2 2 -4 2 . aligned

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