Edexcel Pure Maths Chapter 6 Test
Questions And Answers.
How to find a midpoint of a line segment - Answer Average the x and y coordinates of its end
points; (x1+x2/2),(y1+y2/2)
What's a line segment - Answer A finite part of a straight line with two distinctive end points
What's it helpful to do in coordinate geometry? - Answer Draw a sketch showing the info given
in the question
What's the perpendicular bisector of line AB? - Answer The straight line perpendicular to AB
and that also passes through its midpoint
What is a circle? - Answer A set of points that are equidistant from a set point. You can use
Pythagoras to derive equations of circles on a coordinate grid. For any point (x,y) of the
circumference of a circle, you can use Pythagoras to show the relationship between x, y and r
What's the equation of a circle with centre (0,0) and radius r? - Answer x^2+y^2=r^2
What's the equation of a circle with centre (a,b) and radius r? - Answer (x-a)^2 + (y-b)^2 = r^2
(this is the translation of the circle x^2+y^2=r^2 by the vector ai+bj)
What's the safest way to find the centre and radius of a circle with an equation given in
expanded form? - Answer Complete the square for the x and y terms
How many times can a straight line intersect a circle? - Answer 0,1 or 2
What is a tangent to a circle? - Answer A straight line that intersects the circle at only one
point, and is perpendicular to the radius of the circle at the point of intersection
What is a chord? - Answer A line segment joining 2 points on a circles circumference (the
diameter of the circle is also the longest chord). The perpendicular bisector or a chord will go
through the centre of the circle
Questions And Answers.
How to find a midpoint of a line segment - Answer Average the x and y coordinates of its end
points; (x1+x2/2),(y1+y2/2)
What's a line segment - Answer A finite part of a straight line with two distinctive end points
What's it helpful to do in coordinate geometry? - Answer Draw a sketch showing the info given
in the question
What's the perpendicular bisector of line AB? - Answer The straight line perpendicular to AB
and that also passes through its midpoint
What is a circle? - Answer A set of points that are equidistant from a set point. You can use
Pythagoras to derive equations of circles on a coordinate grid. For any point (x,y) of the
circumference of a circle, you can use Pythagoras to show the relationship between x, y and r
What's the equation of a circle with centre (0,0) and radius r? - Answer x^2+y^2=r^2
What's the equation of a circle with centre (a,b) and radius r? - Answer (x-a)^2 + (y-b)^2 = r^2
(this is the translation of the circle x^2+y^2=r^2 by the vector ai+bj)
What's the safest way to find the centre and radius of a circle with an equation given in
expanded form? - Answer Complete the square for the x and y terms
How many times can a straight line intersect a circle? - Answer 0,1 or 2
What is a tangent to a circle? - Answer A straight line that intersects the circle at only one
point, and is perpendicular to the radius of the circle at the point of intersection
What is a chord? - Answer A line segment joining 2 points on a circles circumference (the
diameter of the circle is also the longest chord). The perpendicular bisector or a chord will go
through the centre of the circle
