Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,331 prompts matching "A line and a curve meeting once without the line being a tangent"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
Subscribe to unlock allShow that (1,2), (3,6), and (5,10) are collinear
I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,
Subscribe to unlock allDifferentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
Subscribe to unlock allWorked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Subscribe to unlock allStructured question: circle and line with an unknown intercept
I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno
Subscribe to unlock allWorked Example: The units of mass, and the SI unit
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the un
Subscribe to unlock allWAEC Prep: The magnitude of the resultant of two forces inclined at an angle
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWorked Example: Marking the weight, the normal reaction and the friction on a diagram
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on markin
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
Subscribe to unlock allWAEC Prep: The points of inflexion of the normal curve
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the points of infl
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 position vector of a point dividing a line in a ratio
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the position vecto
Subscribe to unlock allWAEC Prep: The parameter in the vector equation of a line
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the parameter in t
Subscribe to unlock allWAEC Prep: Converting the vector equation of a line into Cartesian form
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through converting the vec
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 allPractice: Deciding whether a point lies on a given line
Act as my SS3 Further Mathematics tutor. Give me five practice questions on deciding wheth
Subscribe to unlock allWorked Example: The powers of i, and the cycle they follow
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the po
Subscribe to unlock allWAEC Prep: Finding the stationary points of a curve
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWAEC Prep: The area under a straight line checked by a trapezium
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the area under a s
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