Chapter 2: Further Pure 1: Conic Sections 1

A-level Further MathsFurther Pure 1 & 25 topicsHigher

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Further Pure 1: Conic Sections 1: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FP02-1 Find the required result for Further Pure 1: Conic Sections 1. Given The parabola

y^{2}

= 12x has point P(

3t^{2}

, 6t) with t = 2, and the rectangular hyperbola xy = 16 has point Q(4u, 4/u) with u = 2. Use use parametric coordinates and tangent/normal formulae for conics. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksshow thathardEdexcel

FP02-2 Show that the tangent to

y^{2}

= 12x at t = 2 is 2x - y + 6 = 0 for Further Pure 1: Conic Sections 1. Start from The parabola

y^{2}

= 12x has point P(

3t^{2}

, 6t) with t = 2, and the rectangular hyperbola xy = 16 has point Q(4u, 4/u) with u = 2. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FP02-3 Determine the requested value in this structured Further Pure 1: Conic Sections 1 problem: find the chord of contact from (15, 18) to the parabola. Use the same data: The parabola

y^{2}

= 12x has point P(

3t^{2}

, 6t) with t = 2, and the rectangular hyperbola xy = 16 has point Q(4u, 4/u) with u = 2. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FP02-4 Hence use the result the tangent to

y^{2}

= 12x at t = 2 is 2x - y + 6 = 0 to complete the extension for Further Pure 1: Conic Sections 1: find the chord of contact from (15, 18) to the parabola. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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1. Further Pure 1: Vectors

3. Further Pure 1: Conic Sections 2

Key learning objectives

Understand the key principles behind Further Pure 1: Conic Sections 1.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.