FA Part 2 Mathematics Full Book Test Online With Answers

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FA Part 2 Mathematics Full Book Test Online

Sr. # Questions Answers Choice
1 The number e denotes the _______ of the conic: Directrix Vertex Focus Eccentricity
2 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: x<sup>2</sup> = 4ay -x<sup>2</sup>= 4ay -y<sup>2</sup>= 4ax y<sup>2</sup>= 4ax
3 The directrix of the parabola x2 = 4ay is: x = a x = -a y = a y = -a
4 The conic is a parabola, if: e = 1 e &gt; 1 0 &lt; e &lt; 1 e = 0
5 If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is: x<sup>2</sup> = 4ay y<sup>2</sup>= 4ax -x<sup>2</sup>= 4ay -y<sup>2</sup>= 4ax
6 y2 = 4ax, is the standard equation of the: Ellipse Parabola Hyperbola None of these
7 0 4 7
8 Length of tangent from (a, 0) to the circle x2 + y2 + 2gx + 2fy + c = 0 is: c 2g + 2f -c None
9 Length of tangent from (0,1) to x2 + y2 + 6x - 3y + 3 = 0 2 1 4 3
10 Two real and distinct tangents can be drawn to a circle from any point P(x1, y1) ______ the circle: Inside On Outside None of these
11 An angle in a semi-circle is: 0° 90° 180° 60°
12 Two imaginary tangents can be drawn to a circle from any point P(x1, y1) _______ the circle: Inside On Outside None of these
13 Perpendicular dropped from the center of a circle on a chord _______ the chord: Normal Bisects Equal to None of these
14 If a circle and a line intersect in two points, then the line is called: A chord A secant A diameter None of these
15 Two arcs of two different circles are congruent if: The circles are congruent The corresponding central angles are congruent Both a and b None of the above
16 The condition for the line y = mx + c to be a tangent to the circle x2 + y2 = a2 is c = _____________:
17 Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is: 1 cm 7cm 4cm 5cm
18 One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures: 30°, 110° 40°, 100° 50°, 90° 20°, 120°
19 A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is: 4 cm 3cm 2.5cm 3.4cm
20 A line through a point say P perpendicular to the tangent to the curve at P is called: Straight line Tangent line Normal line None of these
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