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Senior Secondary

Further Mathematics

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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

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

Structured 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

Give 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

Practice: 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

Quiz: 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,

WAEC 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

WAEC 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

Quiz: 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

Quiz: The tangent curve and its asymptotes

Act as my SS3 Further Mathematics tutor and quiz me on the tangent curve and its asymptote

Common 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

Find 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

Worked 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

Practice: 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

Final 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.

Structured 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

Give 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

Give 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

Give 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

Structured 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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