Y11 Maths Home Work Set 8th Jan 2024

Complete the square for

x² - 12x + ____

• 144

• 36

• - 36

• 24

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

What is the equation of the circle?

• (x+1)^2 + (y +1)^2 = 3

• (x+1)^2 + (y -1)^2 = 3

• (x+1)^2 + (y +1)^2 = 9

• (x-1)^2 + (y -1)^2 = 9

What is the equation of this circle?

• (x + 3)² + (y - 1)² = 9
• (x - 3)² + (y + 1)² = 9
• (x - 3)² + (y + 1)² = 3
• (x + 3)² + (y - 1)² = 3

Write the equation of the circle

Rationalise the Denominator:
^{(3 + √4)} /_√2

• ^5√2/₂
• ^{(3√2 +√8)} /₂
• ^{(3√2 +√8)} /4 
• ^{(3√2 + √3 )} /₂

Which one would you multiply by to rationalise this denominator:
^√5 /_{(√2 - 1)}

• (√2 - 1)
• √2
• √2 + 1
• √5

Which one would you multiply by to rationalise this denominator:
⁷ /_3√6

• √6
• 3√6
• 2√3
• 3 - √6