Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
Consider an ellipse whose centre is of the origin and its major axis is a long x-axis. If its eccentricity is `3/5` and the distance between its foci is 6, then the area of the quadrilateral’ inscribed in the ellipse with diagonals as major and minor axis, of the ellipse is
विकल्प
8
32
80
40
उत्तर
40
APPEARS IN
संबंधित प्रश्न
Find the equations of the two tangents that can be drawn from (5, 2) to the ellipse 2x2 + 7y2 = 14
Find the equations of tangents to the hyperbola `x^2/16 - y^2/64` = 1 which are parallel to10x − 3y + 9 = 0
Show that the line x – y + 4 = 0 is a tangent to the ellipse x2 + 3y2 = 12. Also find the coordinates of the point of contact
Find the equation of the tangent to the parabola y2 = 16x perpendicular to 2x + 2y + 3 = 0
Prove that the point of intersection of the tangents at ‘t1‘ and t2’ on the parabola y2 = 4ax is [at1 t2, a (t1 + t2)]
If the normal at the point ‘t1‘ on the parabola y2 = 4ax meets the parabola again at the point ‘t2‘, then prove that t2 = `- ("t"_1 + 2/"t"_1)`
Choose the correct alternative:
The ellipse E1 : `x^2/9 + y^2/4` = 1 is inscribed in a rectangle R whose sides are parallel to the co-ordinate axes. Another ellipse E2 passing through the point (0, 4) circumscribes the rectangle R. The eccentricity of the ellipse is
Choose the correct alternative:
Tangents are drawn to, the, hyperbola `x^2/9 - y^2/4` = 1 parallel to the straight line 2x – y – 1. One of the points of contact of tangents on the hyperbola is
Choose the correct alternative:
The equation of the circle passing through the foci of the ellipse `x^2/16 + y^2/9` = 1 having centre at (0, 3) is
Choose the correct alternative:
Area of the greatest rectangle inscribed in the ellipse `x^2/"a"^2 + y^2/"b"^2` = 1 is
Choose the correct alternative:
If the two tangents drawn from a point P to the parabola y2 = 4r are at right angles then the locus of P is
