Let AB be a chord of the parabola y² = 4ax, which is not parallel to the directrix of the parabola and subtends right angle at two other points C and D of the parabola.
Statement-1 : If parameters of the points A, B, C, D are respectively t₁ , t₂ , t₃ , t₄ then |t₁ + t₂ | = |t₃ + t₄|
Statement-2 : t₁ , t₂ , t₃ , t₄ are roots of the equation at⁴ – t² + 2at – 1 = 0.
(a) Statement-1 is false, Statement-2 is true.
(b) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
(c) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
(d) Statement-1 is true, Statement-2 is false.