mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Parabola

On a graph of \(y=x^2\), two lines are drawn at \(x=a\) and \(x=-b\) (for \(a,b>0\). The points where these lines intersect the parabola are connected.
What is the y-coordinate of the point where this line intersects the y-axis?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths XVIII,
puzzles about graphs, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles

Tags

tiling cube numbers balancing division symmetry means multiples hexagons proportion sum to infinity doubling factors cryptic crossnumbers christmas number perfect numbers sport people maths pascal's triangle elections integration indices mean digital clocks odd numbers algebra area crossnumber clocks chess 2d shapes rectangles books surds cryptic clues probability sequences taxicab geometry squares partitions percentages parabolas bases chalkdust crossnumber differentiation numbers digits colouring routes unit fractions fractions graphs coins speed multiplication trigonometry time geometry triangle numbers dodecagons lines scales sums rugby perimeter dominos coordinates gerrymandering arrows factorials volume angles functions averages spheres square numbers cards advent wordplay dates star numbers floors triangles logic dice remainders quadratics calculus ave polygons chocolate the only crossnumber integers crossnumbers products square roots grids prime numbers probabilty palindromes circles median regular shapes ellipses planes games crosswords complex numbers menace range folding tube maps shapes money shape addition irreducible numbers 3d shapes

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020