1,045 prompts matching "The position vector of a point dividing a line in a ratio"
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Spot my mistake using the quadratic formula
Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think
Find sum and product of roots of 2x^2 - 5x + 3 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Find sum and product of roots of x^2 + 4x - 12 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Find sum and product of roots of 3x^2 + 7x - 6 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Find sum and product of roots of x^2 - 8x + 15 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Quiz me on the sum and product of the roots of a cubic
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin
Explain sum and product of roots back to me
Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back
Teach me solving a linear and a quadratic equation by substitution
You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati
Quiz me on line and curve intersection conditions
Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and
Give me practice on tangent lines to curves
Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio
Explain line-curve intersection conditions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan
Give me practice factorising polynomials with the factor theorem
Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t
Spot my mistake using the remainder theorem
Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I
Quiz me on identifying propositions
Act as my SS2 Further Maths tutor. Quiz me by giving me five sentences and asking me to id
Explain propositions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between a p
Teach me the truth table of p implies q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p implies q, in clea
Teach me the truth table of p if and only if q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p if and only if q,
Worked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Give me practice on converse and inverse propositions
Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a
Worked example: arranging letters of a word
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the number of