Mathematics ECAT Pre Engineering Chapter 22 Circle Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 22 Circle Online Test

Sr. # Questions Answers Choice
1
2 Three Independent Variables Two independent constant Three independent parameters Three independent constant
3 None of these
4 a = b , h = 0 f = g, h = 0 h = h, c = 0
5
6 The area of the circle centred at (1, 2) and passing through (4, 6) is
7
8
9 1 2 0 None of these
10
11 The equation of the circle with centre at (5, -2) and radius 4 is
12
13 If the centre of the circle is the origin, then equation of the cirlce is x<sup>2</sup>+ y<sup>2</sup>= 0 2gx + 2fy - c = 0 x<sup>2</sup>+ y<sup>2</sup>= r<sup>2</sup> gx + fy - c/2 = 0
14 If three non-collinear points through which a circle passes are known, then we can find the variables x and y value of x and c three constant f, g and c inverse of the circle
15 The equation of the circle whose centre is (-3, 5) and having radius 7 is (x-3)<sup>2</sup>+ (y+5)<sup>2</sup>= 7<sup>2</sup> (x-3)<sup>2</sup>+ (y+5)<sup>2</sup>= 7<sup>2</sup> (x-3)<sup>2</sup>+ (y-5)<sup>2</sup>= 7<sup>2</sup> x<sup>2</sup>+y<sup>2</sup>+6x-10y-15=0
16 A second degree equation in which coefficients of x2and y2are equal and there is no product term xy represents a parabola a circle an ellipse a pair of lines
17 The equation: x2+ y2+ 2gx + 2fy + c = 0, represents pair of lines a circle a general second degree equation a hyperbola
18 Apollonius was a rocket Muslim scientist Greek mathematicians method of finding conics
19 To study conics, Pappus used the method of analytic geometry solid geometry Euclidean geometry none of these
20 If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is an ellipse a circle a parabola a hyperbola
21 If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is an ellipse a circle a parabola a hyperbola
22 If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve of intersection is a circle an ellipse a parabola a hyperbola
23 If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is an ellipse a circle a hyperbola a parabola
24 The generators of a cone are also called rulings apex nappes ellipse
25 The vertex of the cone is also called nappes axis rulings apex
26 IF the cone is cut by a plane perpendicular to the axis of the cone, then the section is a circle ellipse hyperbola parabola
27 The fixed point which lies on the axis of the cone is called its axis apex nappes axis
28 A cone is generated by all lines through a fixed point and the circumference of a circle an ellipse a hyperbola none of these
29 If a plane passes through the vertex of the cone, then the intersection is an ellipse a parabola a hyperbola a point circle
30 The set of all points in the plane that are equally distant from a fixed point is called a parabola ellipse hyperbola circle
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