MCQMediumJEE Main 2025 · 23 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2025 · 23 January, Shift 2

A rod of length eight units moves such that its ends A and B always lie on the lines xy+2=0x - y + 2 = 0 and y+2=0y + 2 = 0, respectively. If the locus of the point PP, that divides the rod ABAB internally in the ratio 2:12:1, is 9(x2+αy2+βxy+γx+28y)76=0,9(x^2 + \alpha y^2 + \beta xy + \gamma x + 28 y) - 76 = 0, then αβγ\alpha - \beta - \gamma is equal to:

  • A

    2424

  • B

    2323

  • C

    2121

  • D

    2222

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions