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Question

What is the distance between the two foci of the hyperbola 25x2 - 75y2 = 225?

This question was previously asked in
NDA 2 2025 GAT Question Paper (14-Sep-2025)
The correct answer is

2√3 units

The standard form of the hyperbola equation gives the distance between foci as 2√3 units.

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Similar Questions

  1. The foci of the ellipse \(4x^2 + 9y^2 = 1\) are at Q and R. If P(x, y) is any point on the ellipse, then what is PQ+PR equal to?
  2. Consider the points P(4k, 4k) and Q(4k, -4k) lying on the parabola \(y^2 = 4kx\). If the vertex is A, then what is \(\angle PAQ\) equal to?
  3. What is the value of p ?
  4. What is the difference between the eccentricities of the hyperbola and the ellipse ?
  5. If any point on an ellipse is (3sinα, 5cosα), then what is the eccentricity of the ellipse?


Important Questions from Conic Sections

  1. The foci of the ellipse \(4x^2 + 9y^2 = 1\) are at Q and R. If P(x, y) is any point on the ellipse, then what is PQ+PR equal to?
  2. Consider the points P(4k, 4k) and Q(4k, -4k) lying on the parabola \(y^2 = 4kx\). If the vertex is A, then what is \(\angle PAQ\) equal to?
  3. What is the value of p ?
  4. What is the difference between the eccentricities of the hyperbola and the ellipse ?
  5. If any point on an ellipse is (3sinα, 5cosα), then what is the eccentricity of the ellipse?

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