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Model Test – Higher Mathematics (Class 9-10)

📘 Model Test – Higher Mathematics (Class 9-10)

Chapter 11: Coordinate Geometry | Time: 1 hour | Total Marks: 34 timetostudy.org


📝 Part A – Multiple Choice Questions (MCQ)

  1. The quadrant in which x-value is negative and y-value is positive is
    a) First quadrant b) Second quadrant c) Third quadrant d) Fourth quadrant
  2. If the coordinates of the two points are P (–2, 3) and Q (–3, 5), then (abscissa of P) – (abscissa of Q) is
    a) 1 b) -1 c) -2 d) -5
  3. If the coordinates of the two points are P (–2, 3) and Q (–3, 5), then (ordinate of P) – (ordinate of Q) is
    a) 1 b) -1 c) -2 d) -5
  4. On plotting the points O (0, 0), A (3, 0), B (3, 4), C (0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
    a) Square b) Rectangle c) Rhombus d) Trapezium
  5. The perpendicular distance of the point P (3, 4) from the y-axis is
    a) 3 b) 4 c) 5 d) 7
  6. The perpendicular distance of the point P (3, 4) from the x-axis is
    a) 3 b) 4 c) 5 d) 7
  7. Which graph is parallel to x-axis?
    a) y = x + 1 b) y = 2 c) x = 3 d) x = 2y
  8. What is the equation of y-axis?
    a) X = 0 b) Y = 0 c) X = Y = 0 d) None
  9. The distance of the point P (–6, 8) from the origin is
    a) 8 b) 2 c) 10 d) 6
  10. The distance between the points (0, 5) and (–5, 0) is
    a) 5 b) 5 c) 2 d) 10
  11. AOBC is a rectangle whose three vertices are A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is
    a) 5 b) 3 c) — d) 4
  12. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is
    a) 5 b) 12 c) 11 d) 7+
  13. The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is
    a) 14 b) 28 c) 8 d) 6
  14. The points (–4, 0), (4, 0), (0, 3) are the vertices of a
    a) Right triangle b) Isosceles triangle c) Equilateral triangle d) Scalene triangle

✍️ Part B – Creative Questions (CQ)

Q1. Four points A(3,4), B(-4,2), C(6,-1) and D(k,3) move round anti-clockwise.
  • Find the slope of the line AC.
  • If the point P(x,y) is equidistant from A and B, show that 14x + 4y = 5.
  • The area of the quadrilateral ABCD is thrice the area of triangle ABC. Find the value of k.
Q2. A(3, -6), B(-6,-2), C(-2, 6) and D(8, 4) are four points.
  • Find the distance between B and C.
  • If the distance of x-axis and the point A are equal from P(x, y), show that x² – 6x + 12y + 45 = 0.
  • Find the area of the quadrilateral ABCD (anti-clockwise order) and the perimeter of ABCD.
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