Hyperbola questions
149 published questions with worked solutions.
- If e_1 is the eccentricity of the ellipse x^2 16 + y^2 7 = 1 and e_2 is the eccentricity of the hyperbola x^2 9 - y^2 7 = 1, then...
- The eccentricity of the hyperbola 5x^2 - 4y^2 + 20x + 8y = 4 is
- The equation the tangent parallel to y - x + 5 = 0, drawn to x^2 3 - y^2 2 = 1 is
- The value of m, for which the line y = mx + 2 becomes a tangent to the conic 4x^2 - 9y^2 = 36 are
- If the line y = 2x + be a tangent to the hyperbola 36x^2 - 25y^2 = 3600, then is equal to
- The locus of a point which moves such that the difference of its distances from two fixed points is always a constant, is
- A common tangent to 9x^2 - 16y^2 = 144 and x^2 + y^2 = 9, is
- If the line lx + my = 1 is a normal to the hyperbola x^2 a^2 - y^2 b^2 = 1, then a^2 l^2 - b^2 m^2 is equal to
- Length of the straight line x - 3y = 1 intercepted by the hyperbola x^2 - 4y^2 = 1 is
- The equation of the hyperbola whose vertices are at (5, 0) and (-5, 0) and one of the directrices is x = 25 7 , is
- What is the equation of the hyperbola having latus rectum and eccentricity 8 and 3 5 respectively?
- What is the eccentricity of rectangular hyperbola?
- Consider the following statements in respect of hyperbola x^2 ^2 - y^2 ^2 =1 : 1. The two foci are independent of . 2. The...
- What is the distance between the two foci of the hyperbola 25x^2-75y^2=225?
- What is the distance between the foci of the hyperbola x^2-4y^2=1?
- If any point on a hyperbola is (3 , 2 ), then what is the eccentricity of the hyperbola?
- Let a and b be positive real numbers such that a > 1 and b < a. Let P be a point in the first quadrant that lies on the hyperbola...
- Consider the hyperbola x^2 100 - y^2 64 = 1 with foci at S and S_1, where S lies on the positive x-axis. Let P be a point on the...
- For the hyperbola H : x^ 2 - y^ 2 = 1 and the ellipse E : x^ 2 /a^ 2 + y^ 2 /b^ 2 = 1, a > b > 0, let the (1) eccentricity of E...
- Let a > 0, b > 0. Let e and respectively be the eccentricity and length of the latus rectum of the hyperbola x^ 2 /a^ 2 - y^ 2...
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