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Coordinate geometry and circles quiz: O-Level Additional Mathematics (SEAB 4049) quiz

14questions. Pick an answer and you'll see why right away.

  1. What is the gradient of the line through (2,3)(2, 3) and (6,11)(6, 11)?

  2. Two lines are perpendicular when the product of their gradients is:

  3. What is the distance between (1,1)(1, 1) and (4,5)(4, 5)?

  4. What is the midpoint of the segment joining (−2,4)(-2, 4) and (6,−2)(6, -2)?

  5. The equation of a circle with centre (a,b)(a, b) and radius rr is:

  6. Find the centre of the circle x2+y2−4x+6y−3=0x^2 + y^2 - 4x + 6y - 3 = 0.

  7. Find the radius of the circle (x−1)2+(y+2)2=49(x - 1)^2 + (y + 2)^2 = 49.

  8. When you substitute a line into a circle equation, what does a discriminant of zero mean?

  9. At a point where a tangent touches a circle, the radius drawn to that point is:

  10. Three points are collinear if the area of the triangle they form by the shoelace method is:

  11. What is the equation of the line through (0,4)(0, 4) with gradient −3-3?

  12. A line parallel to y=2x−5y = 2x - 5 has gradient:

  13. How do you recover the standard form of a circle from x2+y2+2gx+2fy+c=0x^2 + y^2 + 2gx + 2fy + c = 0?

  14. If substituting a line into a circle gives a quadratic with discriminant less than zero, the line: