The equation 16x 2 – 3y 2 – 32x + 12y – 44 = 0 represents a hyperbola

Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry

1. the length of whose transverse axis is\(4 \sqrt{3}\)
2. the length of whose conjugate axis is 4
3. whose centre is (–1, 2)
4. whose eccentricity is\(\sqrt{\frac{19}{3}}\)

Answer

(D) whose eccentricity is 19 3

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• The lines 8x + 4y = 1, 8x + 4y = 5, 4x + 8y = 3, 4x + 8y = 7 form a
• The sides AB, BC, CD and DA of a quadrilateral have the equations x + 2y = 3, x = 1, x – 3y = 4, 5x + y + 12…
• The lines x + y = |a| and ax – y = 1 intersect each other in the first quadrant. Then, the set of all…
• The eccentricity of an ellipse whose centre is at the origin is 1 2 . If one of the directrices is x = 4…
• If and are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of…
• A line has slope – 3/4, positive y-intercept and forms a triangle of area 24 sq. units with coordinate axes…
• The circles x 2 + y 2 + 6x + 6y = 0 and x 2 + y 2 – 12x – 12y =0
• Equation of the tangent to the hyperbola 2 x^ 2 -3 y^ 2 =6 which is parallel to the line y-3 x-4=0 is,

More Co-ordinate Geometry questions · Browse all practice questions