[{"id":241958,"question":"Two imaginary tangents can be drawn to a circle from any point P(x<sub>1</sub>, y<sub>1</sub>) _______ the circle:","choices":[{"text":"Inside","value":"A"},{"text":"On","value":"B"},{"text":"Outside","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241957,"question":"Perpendicular dropped from the center of a circle on a chord _______ the chord:","choices":[{"text":"Normal","value":"A"},{"text":"Bisects","value":"B"},{"text":"Equal to","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241956,"question":"If a circle and a line intersect in two points, then the line is called:","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":2},{"id":241955,"question":"Two arcs of two different circles are congruent if:","choices":[{"text":"The circles are congruent","value":"A"},{"text":"The corresponding central angles are congruent","value":"B"},{"text":"Both a and b","value":"C"},{"text":"None of the above","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241954,"question":"The condition for the line y = mx + c to be a tangent to the circle x<sup>2</sup> + y<sup>2</sup> = a<sup>2</sup> is c = _____________:","choices":[{"text":"","img":"241954_637759415494236538-RA1.png","value":"A"},{"text":"","img":"241954_637759415494236538-RA2.png","value":"B"},{"text":"","img":"241954_637759415494236538-RA3.png","value":"C"},{"text":"","img":"241954_637759415494236538-RA4.png","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241953,"question":"Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:","choices":[{"text":"1 cm","value":"A"},{"text":"7cm","value":"B"},{"text":"4cm","value":"C"},{"text":"5cm","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241952,"question":"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:","choices":[{"text":"30°, 110°","value":"A"},{"text":"40°, 100°","value":"B"},{"text":"50°, 90°","value":"C"},{"text":"20°, 120°","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241951,"question":"A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:","choices":[{"text":"4 cm","value":"A"},{"text":"3cm","value":"B"},{"text":"2.5cm","value":"C"},{"text":"3.4cm","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241950,"question":"A line through a point say P perpendicular to the tangent to the curve at P is called:","choices":[{"text":"Straight line","value":"A"},{"text":"Tangent line","value":"B"},{"text":"Normal line","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"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}]