A level Maths Question And Answer test Quality Document
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if two lines are perpendicular, what must their gradients equal to when multiplied together?
-1
What is the equation to calculate the gradient of a line?
y₂-y₁/x₂-x₁
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What is the equation to calculate the length of a line?
√(y₂−y₁)^2 + (x₂-x₁)^2
What is the equation to calculate the midpoint of a line?
(x₂+x₁) over 2 , (y₂+y₁) over 2
What is the equation of a circle?
x²+y²=r²
How do you find the midpoint of a circle from the equation?
(x-a)²+(y-b)²=r²
If a factor of a line equation is (x-2)², or the line equation is just y=(x-2)², how many solutions does (x-
2)² give and what does this look like on a graph.
This gives just one solution, that x=2. This means that the line just touches the x axis at (2,0).
What does a x⁴ and a -x⁴ graph look like?
An x⁴ looks like a W
A -x⁴ looks like an upside down W
What does an x³ and a -x³ graph look like?
latest Update.
if two lines are perpendicular, what must their gradients equal to when multiplied together?
-1
What is the equation to calculate the gradient of a line?
y₂-y₁/x₂-x₁
Previous
Play
Next
Rewind 10 seconds
Move forward 10 seconds
Unmute
0:01
/
0:15
Full screen
, Brainpower
Read More
What is the equation to calculate the length of a line?
√(y₂−y₁)^2 + (x₂-x₁)^2
What is the equation to calculate the midpoint of a line?
(x₂+x₁) over 2 , (y₂+y₁) over 2
What is the equation of a circle?
x²+y²=r²
How do you find the midpoint of a circle from the equation?
(x-a)²+(y-b)²=r²
If a factor of a line equation is (x-2)², or the line equation is just y=(x-2)², how many solutions does (x-
2)² give and what does this look like on a graph.
This gives just one solution, that x=2. This means that the line just touches the x axis at (2,0).
What does a x⁴ and a -x⁴ graph look like?
An x⁴ looks like a W
A -x⁴ looks like an upside down W
What does an x³ and a -x³ graph look like?
