Question

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is

8/3

2/3

5/3

4/3

Solution

8/3

Major axis is along x-axis.
$straight a over straight e minus space ae space equals space 4 straight a space open parentheses 2 minus 1 half close parentheses space equals 4 straight a space equals 8 over 3$

Some More Questions From Conic Section Chapter

The equation of a tangent to the parabola y² = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

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Conic Section

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is

8/3

2/3

5/3

4/3

Some More Questions From Conic Section Chapter

The equation of a tangent to the parabola y² = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is

If the lines 3x − 4y − 7 = 0 and 2x − 3y − 5 = 0 are two diameters of a circle of area 49π square units, the equation of the circle is

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NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Conic Section

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is 8/3 2/3 5/3 4/3

Some More Questions From Conic Section Chapter

The equation of a tangent to the parabola y2 = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is

If the lines 3x − 4y − 7 = 0 and 2x − 3y − 5 = 0 are two diameters of a circle of area 49π square units, the equation of the circle is

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is

8/3

2/3

5/3

4/3

The equation of a tangent to the parabola y² = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is