If \( A x+B y=1 \) is a normal to the curve \( a y=x^{2} \), then : (a) \( 4 A^{2}(1-a B)=a B^{3...

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If \( A x+B y=1 \) is a normal to the curve \( a y=x^{2} \), then :
(a) \( 4 A^{2}(1-a B)=a B^{3} \)
(b) \( 4 A^{2}(2+a B)=a B^{3} \)
(c) \( 4 A^{2}(1+a B)+a B^{3}=0 \)
(d) \( 2 A^{2}(2-a B)=a B^{3} \)
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