Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be and , respectively, and one focus and the corresponding directrix of this hyperbola be and , respectively. If the product of the focal distances of a point on the hyperbola is , then is equal to:
NVAMediumJEE Main 2025 · 7 April, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)
Mathematics Question from JEE Main 2025 · 7 April, Shift 2
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
- Let O be the vertex of the parabola x²=4y and Q be any point on it. Let the locus of the point P, which…Medium · JEE 2026
- Let the foci of a hyperbola coincide with the foci of the ellipse x²/36 + y²/16 = 1. If the eccentricity of…Medium · JEE 2026
- If the line ax + 4y = √7, where a ∈ ℝ, touches the ellipse 3x² + 4y² = 1 at the point P in the first…Medium · JEE 2026
- Let one end of a focal chord of the parabola y² = 16x be (16, 16). If P(α, β) divides this focal chord…Medium · JEE 2026
- Let y² = 12x be the parabola with its vertex at O. Let P be a point on the parabola and A be a point on the…Medium · JEE 2026
- If the chord joining the points P₁(x₁, y₁) and P₂(x₂, y₂) on the parabola y² = 12x subtends a right angle at…Medium · JEE 2026