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MathsJEE Main 6 Apr 2026, Shift 1·Q2·MCQ·Moderate

Quadratic Equations · Relation between roots and coefficients

Let one root of the quadratic equation in xx: (k2−15k+27)x2+9(k−1)x+18=0(k^2 - 15k + 27)x^2 + 9(k - 1)x + 18 = 0 be twice the other. Then the length of the latus rectum of the parabola y2=6kxy^2 = 6kx is equal to:
  1. (1)4
  2. (2)6
  3. (3)8
  4. (4)12

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