Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,259 prompts matching "is this line tangent to this curve"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show 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 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 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 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 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: Splitting a fraction with two distinct linear factors
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
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: Sketching two trigonometric curves on the same axes to find where they meet
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Subscribe to unlock allFinal Revision: The perpendicular distance from a point to a line
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Subscribe to unlock allStructured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Subscribe to unlock allSpot My Mistake: Drawing a vector as a directed line segment
Act as my SS3 Further Mathematics tutor. Work a question on drawing a vector as a directed
Subscribe to unlock allSpot My Mistake: The equation of the tangent to a circle at a point on it
Act as my SS3 Further Mathematics tutor. Work a question on the equation of the tangent to
Subscribe to unlock allSpot My Mistake: Two particles on a pulley at the top of an inclined plane
Act as my SS3 Further Mathematics tutor. Work a question on two particles on a pulley at t
Subscribe to unlock allSpot My Mistake: The least force needed to move a body up a rough incline
Act as my SS3 Further Mathematics tutor. Work a question on the least force needed to move
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 allGive 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 allWorked Example: The area between a curve and the x-axis
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ar
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 allGive me a mixed revision pack blending three topics
I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua
Subscribe to unlock allSpot My Mistake: The moment of a force whose line of action is not perpendicular
Act as my SS3 Further Mathematics tutor. Work a question on the moment of a force whose li
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