The equation of a circle is
Work out the length of the diameter.
Circle your answer.
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The equation of a circle is
Work out the length of the diameter.
Circle your answer.
22 |
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The equation of a circle is
Work out the length of the diameter.
Circle your answer.
3 | 6 | 9 | 18 |
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A circle, centre , passes through (5, 0).
What is the equation of the circle?
Circle your answer.
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Work out the diameter of the circle
Circle your answer.
8 | 16 | 32 | 128 |
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Describe fully the graph which has the equation x2 + y2 = 9.
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The equation of a curve is
is the point where the curve intersects the -axis.
State the coordinates of .
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The equation of circle is
The circle is translated by the vector to give circle .
Draw a sketch of circle .
Label with coordinates
the centre of circle
and any points of intersection with the -axis.
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In this question all units are in cm.
A circle has equation
Write down the radius and centre of the circle.
radius: .......................................................... cm
centre: (..........................., ...........................)
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The distinct points A () and B () lie on the circumference of the circle.
Work out the length AB.
................................................... cm
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The point ( -5, 2 ) lies on the circumference of a circle, centre (0, 0).
Find the equation of the circle.
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Work out the gradient of the tangent to the circle at (-5, 2).
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Construct the graph of
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By drawing the line on the grid, solve the equations
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On the grid, construct the graph of
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Find estimates for the solutions of the simultaneous equations
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Here is a sketch of the circle
Show that the tangent to this circle at the point (-3, 6) has a gradient of
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Find the equation of the tangent at the point (-3, 6).
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(–1, 4) is a point on a circle, centre
Work out the equation of the tangent to the circle at .
Give your answer in the form
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Here is a circle, centre , and the tangent to the circle at the point (4, 3) on the circle.
Find an equation of the tangent at the point .
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On the grid, draw the graph of
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Hence find estimates for the solutions of the simultaneous equation
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is the circle with equation
is a point on .
Find an equation of the tangent to at the point .
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The diagram shows a circle, centre the origin.
Write down the equation of the circle.
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Point has coordinates (8, —6).
Show that point lies on the circle.
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Find the equation of the tangent to the circle at point .
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A circle has equation x2 + y2 = 80.
Calculate the diameter of the circle.
Give your answer as a surd in its simplest form.
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Colin says that the point (5, 7) lies outside the circle.
Is Colin correct?
Show your reasoning.
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Show that the line with equation y = x + 10 is a tangent to the circle.
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The diagram shows a circle with centre (0, 0) and a tangent at the point (–12, 16).
The tangent crosses the y-axis at the point (0, p).
Find the value of p.
p = .....................................................
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is a point on the circle with equation
has -coordinate 4 and is below the -axis.
Work out the equation of the tangent to the circle at .
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The diagram shows the circle
lies on the circle and has -coordinate 1
The tangent at intersects the -axis at .
Work out the coordinates of Q.
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The diagram shows a circle, centre .
The circumference of the circle is 20π cm.
Find the equation of the circle.
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The line 10x + py = q is a tangent at the point (5, 4) in another circle with centre (0, 0).
Find the value of p and the value of q.
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The line is a tangent to the circle at the point .
is the point (2, 6).
The line crosses the -axis at the point .
Work out the area of triangle .
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The diagram shows the circle x2 + y2 =5.
Mandy says that the point (2, 1.5) lies inside the circle.
Is she correct?
Show how you decide.
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The tangent to the circle at the point P (-2, 1) intersects the y-axis at A.
Show that the area of the triangle APO is 5 square units.
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The diagram shows a circle, centre .
is the tangent to the circle at the point .
Angle
Point has coordinates (16, 0)
Point has coordinates (3p, p)
Find the value of p.
Give your answer correct to 1 decimal place.
You must show all your working.
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Prove algebraically that the straight line with equation is a tangent to the circle with equation
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In this question, all lengths are in centimetres.
is a point on a circle, centre .
is a point on a different circle, centre .
The equation of the larger circle is
radius of smaller circle : radius of larger circle = 4 : 5
Work out the size of angle
............................................ degrees
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