1 |
If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is: |
- A. x<sup>2</sup> = 4ay
- B. -x<sup>2</sup>= 4ay
- C. -y<sup>2</sup>= 4ax
- D. y<sup>2</sup>= 4ax
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2 |
The fixed point of the conic is called: |
- A. Directrix
- B. Vertex
- C. Focus
- D. None of these
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3 |
The point of a parabola which is closest to the focus in the: |
- A. Directrix
- B. Vertex
- C. Focus
- D. Chord
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4 |
The axis of the parabola x<sup>2</sup> = 4ay is: |
- A. x = 0
- B. x = -a
- C. y = 0
- D. y = -a
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5 |
The set of all points in the plane that are equally distant from a fixed point is called a / an: |
- A. Circle
- B. Circular cone
- C. Ellipse
- D. Point circle
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6 |
The conic is a parabola, if: |
- A. e = 1
- B. e > 1
- C. 0 < e < 1
- D. e = 0
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7 |
The radius of circle x<sup>2</sup> + y<sup>2</sup> + ax + by + c = 0 is: |
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8 |
The length of the latus rectum of the parabola y<sup>2</sup> = 4ax is: |
- A. a
- B. 4a
- C. 2a
- D. None of these
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9 |
If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an: |
- A. Ellipse
- B. Circular cone
- C. Circle
- D. Point circle
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10 |
A line through a point say P perpendicular to the tangent to the curve at P is called: |
- A. Straight line
- B. Tangent line
- C. Normal line
- D. None of these
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