Summary (Grade 12 NSC Matric Mathematics): Quizzes

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What is the distance formula between points A(x1;y1)A(x_1; y_1) and B(x2;y2)B(x_2; y_2)?

AB=(x2−x1)2+(y2−y1)2AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

What does gradient measure and how is it described?

Steepness of line; 'rise over run'

How do you find the midpoint between two points?

Add the coordinates and divide by 2

When are three or more points collinear?

When all gradients between points equal

What is the condition for two lines to be parallel?

m1=m2m_1 = m_2

What is the condition for two lines to be perpendicular?

m1×m2=−1m_1 \times m_2 = -1

If a line has gradient mm, what is the gradient of a perpendicular line?

−1m-\frac{1}{m}

Which line equation form is most useful for graphing and analysis?

Gradient-intercept form: y=mx+cy = mx + c

What is the equation of a circle with centre at the origin and radius rr?

x2+y2=r2x^2 + y^2 = r^2

What is the relationship between a radius and tangent at the point of contact?

The radius is perpendicular to tangent

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