[{"id":241949,"question":"A line segment having both the end-points on a circle and not passing through the center is called a:","choices":[{"text":"A chord","value":"A"},{"text":"A secant","value":"B"},{"text":"A diameter","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241948,"question":"A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:","choices":[{"text":"Secant","value":"A"},{"text":"Diameter","value":"B"},{"text":"Chord","value":"C"},{"text":"Tangent","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241947,"question":"A line that touches the curve without cutting through it is called:","choices":[{"text":"Straight line","value":"A"},{"text":"Tangent line","value":"B"},{"text":"Normal line","value":"C"},{"text":"Vertical line","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241946,"question":"Point (5, 6) lies ..... the circle x<sup>2</sup> + y<sup>2</sup> = 81:","choices":[{"text":"Outside","value":"A"},{"text":"Inside","value":"B"},{"text":"On","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241945,"question":"Point p (-5, 6) lies ............ the circle x<sup>2</sup> + y<sup>2</sup> + 4x - 6y - 12 = 0","choices":[{"text":"Outside","value":"A"},{"text":"Inside","value":"B"},{"text":"On","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241944,"question":"If r is the radius of any circle and C its center, then any point P(x<sub>1</sub>, y<sub>1</sub>) lies outside the circle only if:","choices":[{"text":"|CP| &lt; r","value":"A"},{"text":"|CP| = r","value":"B"},{"text":"|CP| &gt; r","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241943,"question":"If a point lies inside a circle, then its distance from the center is:","choices":[{"text":"Equal to the radius","value":"A"},{"text":"Less then the radius","value":"B"},{"text":"Greater then the radius","value":"C"},{"text":"Equal to or greater than the","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241942,"question":"If r is the radius of any circle and C its center, then any point P(x<sub>1</sub>, y<sub>1</sub>) lies on the circle only if:","choices":[{"text":"|CP| &lt; r","value":"A"},{"text":"|CP| &gt; r","value":"B"},{"text":"|CP| = r","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241941,"question":"The radius of point circle is:","choices":[{"text":"0","value":"A"},{"text":"(0, 0)","value":"B"},{"text":"r","value":"C"},{"text":"1","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241940,"question":"","questionImage":"241940_637759407816865714-RQ.png","choices":[{"text":"","img":"241940_637759407816865714-RA1.png","value":"A"},{"text":"","img":"241940_637759407816865714-RA2.png","value":"B"},{"text":"","img":"241940_637759407816865714-RA3.png","value":"C"},{"text":"","img":"241940_637759407816865714-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241939,"question":"The radius of circle x<sup>2</sup> + y<sup>2</sup> + ax + by + c = 0 is:","choices":[{"text":"","img":"241939_637759406615113985-RA1.png","value":"A"},{"text":"","img":"241939_637759406615113985-RA2.png","value":"B"},{"text":"","img":"241939_637759406615113985-RA3.png","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241938,"question":"The radius of circle x<sup>2</sup> + y<sup>2</sup> + 2gx + 2fy + c = 0 is:","choices":[{"text":"","img":"241938_637759405476846458-RA1.png","value":"A"},{"text":"","img":"241938_637759405476846458-RA2.png","value":"B"},{"text":"","img":"241938_637759405476846458-RA3.png","value":"C"},{"text":"","img":"241938_637759405476846458-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241937,"question":"The center of circle x<sup>2</sup> + y<sup>2</sup> + 2gx + 2fy + c = 0 is:","choices":[{"text":"(-g, -f)","value":"A"},{"text":"(-f, -g)","value":"B"},{"text":"(0, 0)","value":"C"},{"text":"(g, f)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241936,"question":"If equation of circle is (x - h)<sup>2</sup> + (y - k)<sup>2</sup> = r<sup>2</sup>, then center of a circle:","choices":[{"text":"(-h, -k)","value":"A"},{"text":"(h, k)","value":"B"},{"text":"(-h, k)","value":"C"},{"text":"(h, -k)","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241935,"question":"The center of circle (x+3)<sup>2</sup> + (y-2)<sup>2</sup> = 16 equals:","choices":[{"text":"(-3, 2)","value":"A"},{"text":"(3, -2)","value":"B"},{"text":"(3, 2)","value":"C"},{"text":"(-3, -2)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241934,"question":"Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.","choices":[{"text":"Equal","value":"A"},{"text":"Double","value":"B"},{"text":"Not equal to","value":"C"},{"text":"Triple","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241933,"question":"A line segment whose end points lie on the circle is called a __________ of the circle.","choices":[{"text":"Radius","value":"A"},{"text":"Chord","value":"B"},{"text":"Diameter","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241932,"question":"The equation x<sup>2</sup> + y<sup>2</sup> + 2x + 3y = 10 represents a:","choices":[{"text":"A pair of lines","value":"A"},{"text":"Circle","value":"B"},{"text":"Ellipse","value":"C"},{"text":"Hyperbola","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241931,"question":"The distance between the center of a circle and any point of the circle is called:","choices":[{"text":"Tangents","value":"A"},{"text":"Secant","value":"B"},{"text":"Diameter","value":"C"},{"text":"Radius","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241930,"question":"The ratio between the measure of the radial segment and the diameter of a circle is:","choices":[{"text":"2 : 1","value":"A"},{"text":"4 : 3","value":"B"},{"text":"1 : 2","value":"C"},{"text":"","img":"241930_637759397773982287-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":3}]