Perpendicular Lines and the equation of a tangent worksheet
4 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
The circle \(C\) has equation \(x^2 + y^2 = {rsq}\), and \(O\) is the origin.
The point \(P({px}, {py})\) lies on \(C\).
A student says that the tangent to \(C\) at \(P\) has gradient \({claim}\).
Is the student right? You must show your working.
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4 marks
The circle \(C\) has equation \(x^2 + y^2 = {rsq}\)
The point \(P({px}, {py})\) lies on \(C\).
Find an equation of the tangent to \(C\) at \(P\).
Give your answer in the form \(y = mx + c\).
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3 marks
The circle \(C\) has equation \(x^2 + y^2 = {rsq}\), and \(O\) is the origin.
The point \(P({px}, {py})\) lies on \(C\).
A student says that the tangent to \(C\) at \(P\) has gradient \({claim}\).
Is the student right? You must show your working.
-
4 marks
The circle \(C\) has equation \(x^2 + y^2 = {rsq}\)
The point \(P({px}, {py})\) lies on \(C\).
Find an equation of the tangent to \(C\) at \(P\).
Give your answer in the form \(y = mx + c\).
Answers
- {verdict}
- \(y = {tang:coef}x {tanc:+}\)
- {verdict}
- \(y = {tang:coef}x {tanc:+}\)