Skip to content

Course home

Sign up

1.6 C: Coordinate geometry in the (x, y) plane

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374
Question 14

A curve has the parametric equations

x=ln⁡(2t+1),y=t2−16,t>−0.5 x = \ln(2t + 1), \quad y = t^2 - 16, \quad t > -0.5 x=ln(2t+1),y=t2−16,t>−0.5
a.

Find the points where the curve crosses the coordinate axes.

[2]
b.

Find an equation for the tangent to the curve when t=1t = 1t=1.

[5]
Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank