Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,210 prompts matching "why a line tangent to a curve gives equal roots"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Give me a past-paper style question bank for line and curve tangency conditions
I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t
Subscribe to unlock allShow that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Subscribe to unlock allStructured question: find the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Subscribe to unlock allGive me an exam formula sheet for line and curve tangency conditions
I am in SS 3. Build me a short formula sheet covering every formula I need for conditions
Subscribe to unlock allPractice: The condition for a quadratic equation to have equal roots
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition
Subscribe to unlock allQuiz: Solving tan x equals a given value, and the period of the tangent
Act as my SS3 Further Mathematics tutor and quiz me on solving tan x equals a given value,
Subscribe to unlock allWAEC Prep: Why the total area under the normal curve is one
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the total area
Subscribe to unlock allWAEC Prep: The vector equation of a line through a point in a given direction
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allQuiz: The vector equation of the line through two given points
Act as my SS3 Further Mathematics tutor and quiz me on the vector equation of the line thr
Subscribe to unlock allQuiz: The tangent curve and its asymptotes
Act as my SS3 Further Mathematics tutor and quiz me on the tangent curve and its asymptote
Subscribe to unlock allCommon Mistakes: The condition for a line to be a tangent to a circle
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Subscribe to unlock allFind the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allPractice: Why complex roots of a real quadratic come in conjugate pairs
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro
Subscribe to unlock allFinal Revision: The region of the plane satisfying a set of linear inequalities
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allStructured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Subscribe to unlock allGive me a past-paper style question bank for sum and product of roots
I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran
Subscribe to unlock allGive me a past-paper style question bank for quadratic inequalities
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie
Subscribe to unlock allGive me a past-paper style question bank for linear-quadratic simultaneous equations
I am in SS 3. Give me a bank of four exam-style questions on linear-quadratic simultaneous
Subscribe to unlock allStructured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
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