A Level Edexcel Pure Maths Paper 1 Exam Questions With Correct Answers And Formula 2024

A Level Edexcel Pure Maths Paper 1 Exam Questions With Correct Answers And Formula 2024 where a, b and c are real constants and a≠0 What is the quadratic formula? - ANSWER x = (-b±√b²-4ac)/2a completing the square - ANSWER x² + bx = (x+b/2)² - (b/2)² ax² + bx + c = a(x + b/2a)² + (c - b²/4a²) The discriminant - ANSWER b²−4ac > 0 two real, distinct roots. b²−4ac = 0 one repeated root. b²−4ac < 0 no real roots. Gradient of a straight line - ANSWER m = y₁ - y / x₁ - x Equation of a straight line - ANSWER y = mx + c OR ax + by + c = 0 Equation of a line using two known points. - ANSWER y - y₁ = m(x - x₁) where m = gradient and (x₁,y₁) are the coordinates used. Parallel lines - ANSWER have the SAME gradient. Perpendicular lines - ANSWER They meet at a right angle. If line 1 has a gradient of m, the gradient of line 2 is -1/m Distance between two points - ANSWER √(x₁-x₂)² + (y₁-y₂)² equation for midpoint - ANSWER (x₁+x₂/2 , y₁+y₂/2) Equation of a circle - ANSWER (x-a)² + (y-b)² = r²