Summary (Grade 10 NSC Matric Mathematics): Quizzes

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What does analytical geometry combine to solve problems?

Algebra and geometry

In the ordered pair (x;y)(x; y), what does xx represent?

Horizontal coordinate

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

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

What is the formula for gradient mm between two points?

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

What is the gradient of a horizontal line?

0

In the equation y=mx+cy = mx + c, what does cc represent?

y-intercept

If two lines are parallel, what is true about their gradients m1m_1 and m2m_2?

m1=m2m_1 = m_2

If two lines are perpendicular, what equals −1-1?

m1×m2m_1 \times m_2

What is the midpoint of A(−2;1)A(-2; 1) and B(1;−3.5)B(1; -3.5)?

(−0.5;−1.25)(-0.5; -1.25)

What is the gradient of a vertical line?

Undefined

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