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Conic Sections
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1. The equation of the circle in the first quadrant touching each coordinate axis at a distance of one unit from origin is
2 points
x^2 + y^2 - 2x - 2y + 1=0
x^2 + y^2 - 2x - 2y - 1=0
x^2 + y^2 - 2x - 2y =0
x^2 + y^2 -2x + 2y - 1=0
Clear selection
2. The equation of ellipse whose centre is at the origin and the x- axis ,the major axis, which passes through the points (-3,1) and (2,-2) is :
2 points
5x^2 + 3y^2 = 32
3x^2 + 5y^2 = 32
5x^2 - 3y^2 = 32
3x^2 + 5y^2 + 32= 0
Clear selection
3. The vertex of the parabola x^2 = 4ay is at
2 points
(0,a)
(a,0)
(0,0)
None of these
Clear selection
4. The eccentricity of ellipse x^2/36 + y^2/16 = 1 is
2 points
2√5/6
2√13/4
2√5/4
2√13/6
Clear selection
5. The vertex of the parabola y^2 -4y -x + 3 =0 is
2 points
(-1,3)
(-1,2)
(2,-1)
(3,-1)
(1,2)
Clear selection
6. Let the equation of the ellipse be x^2/144 + y^2/25 = 1. Then the radius of the circle with centre (0,√2) and passing through the foci of the ellipse is :
2 points
9
7
11
5
Clear selection
7. The equation of the hyperbola whose coordinates of the foci are (+-8,0) and the length of the latus rectum is 24 units, is :
2 points
3x^2 - y^2 = 48
4x^2 - y^2 = 48
x^2 - 3y^2 = 48
x^2 - 4y^2 = 48
Clear selection
8. The equation of the hyperbola whose foci are (-2,0) and (2,0) and eccentricity is 2 is given by
2 points
x^2 - 3y^2= 3
3x^2 - y^2= 3
-x^2 + 3y^2= 3
-3x^2 + y^2= 3
Clear selection
9. The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and length of it's conjugate axis is half the distance between the foci is:
2 points
4/√3
2/√3
√3
4/3
Clear selection
10. The foci of the ellipse 9x^2 + 4y^2= 36 are
2 points
(-5,0)
(0,+-√5)
(+-5,0)
(0,-5)
Clear selection
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