Skip to content

Course home

1.7.19 Parametric and implicit differentiation (A-level only)

1.7.19 Parametric and implicit differentiation (A-level only)

MediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576
Question 10

A curve has the equation x2−xy+y2=12x^2 - xy + y^2 = 12x2−xy+y2=12

The gradient of the tangent to the curve is 1 at the points P P\,P and QQQ.

a.

Show that x+y=0x + y = 0x+y=0 at P P\,P and QQQ.

[6]
b.

Find the coordinates of P P\,P and QQQ.

[3]
Markscheme

1.7.19 Parametric and implicit differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.19 Parametric and implicit differentiation (A-level only)

82 exam-style questions on OCR A Level Maths 1.7.19 Parametric and implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank