Home
Class 12
MATHS
A hyperbola has its centre at the origin...

A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 12|15 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 14|15 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 10|15 Videos

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The line 2x + y = 1 touches a hyperbola and passes through the point of intersection of a directrix and the x-axis. The equation of the hyperbola is

Suppose an ellipse and a hyperbola have the same pair of foci on the x -axis with centres at the origin and they intersect at (2,2) . If the eccentricity of the ellipse is (1)/(2) , then the eccentricity of the hyperbola, is

A parabola passing through the point (-4,2) has its vertex at the origin and Y-axis as its axis . Then, latus rectum of this parabola is

A parabola passing through the point (-4, -2) has its vartex at the origin and Y-axis as its axis. The latus rectum of the parabola is

The line 2x+y=1 is tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1. If this line passes through the point of intersection of the nearest directrix and the x-axis,then the eccentricity of the hyperbola is

Find the equation of the circle which passes through the two points (6,4),(8,-4) and has centre on the X-axis

Focus of the parabola y^(2) = 8x is a vertex of a hyperbola whose conjuagate axis is 4 . Eccentricity of this hyperbola is