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Federal (FBISE) · Chapter test · Free

9th Class Mathematics Chapter 8 Test08. Geometry of Straight Lines

30 marks · 40 minutes · 21 questions. Covers: 08. Geometry of Straight Lines.

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9th Class Mathematics Chapter 8 Test

9th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. If slopes of two lines are m₁ and m₂, then tan θ is:
    1. (m₂−m₁)/(1+m₁m₂)
    2. (m₁+m₂)/(1−m₁m₂)
    3. m₁m₂
    4. m₂/m₁
  2. Slope of the line joining (−2, 4) and (1, −3) is:
    1. −73-\frac{7}{3}
    2. 72\frac{7}{2}
    3. −37-\frac{3}{7}
    4. 17\frac{1}{7}
  3. A constant rate of change in a situation is represented graphically by a:
    1. Circle
    2. Straight line
    3. Parabola
    4. Triangle
  4. The equation 5x − 6 = 0 represents a line parallel to the:
    1. x-axis
    2. y-axis
    3. Line y = x
    4. Origin
  5. Slope-intercept form of a straight line is:
    1. y = mx + c
    2. ax + by = 1
    3. x/a + y/b = 0
    4. y − y₁ = x − x₁
  6. Point of intersection of lines 9x - 7y = 0 and 8x - 11y = 0, is.
    1. ( 0 , 0 )
    2. ( 0 , 7 )
    3. ( 9 , 0 )
    4. ( 7 , 9 )
  7. The line y = 5x - 3 is written in the form.
    1. point - slope
    2. two - intercept
    3. slope - intercept
    4. two - point
  8. The equation y = 0 represents the:
    1. x-axis
    2. y-axis
    3. Origin
    4. Vertical line x = 0
  9. The slope of a line having inclination θ is:
    1. sin θ
    2. cos θ
    3. tan θ
    4. cot θ
  10. A linear model is appropriate when the rate of change is:
    1. Constant
    2. Random
    3. Always zero
    4. Exponential

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Reduce the equation 6x + 8y - 11 = 0 into. point−slopeformpoint - slope form
  2. Find the equation of straight line. through ( 3 , - 2 ) and perpendicular to the line with slope 3.
  3. Write the equation of horizontal line passing through ( - 5 , - 9 ) .
  4. How many lines can pass through a point?
  5. Find the equation of vertical line passing through. (−4,−7)( - 4 , - 7 )
  6. Find the equation of straight line.  through (5,−1) and perpendicular to the line with slope −14 \text { through } ( 5 , - 1 ) \text { and perpendicular to the line with slope } - \frac{1}{4}
  7. Define horizontal line.
  8. A man earns Rs. 120 per hour. He has Rs. 500 in addition with him.What does slope show in this situation?

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Lines OC‾ and AB‾\overline{OC} \text { and } \overline {AB} are shown in the graph. (i) Coordinates of end points of OC‾ and AB\overline{OC} \text { and }AB . ( ii ) Slopes of both lines. ( ii ) Equations of both lines. ( iv ) Coordinates of point of intersection of both lines.
  2. P ( x , y ) , Q ( - 2 , 2 ) , R ( 1 , 4 ) and S ( 10 , 1 ) are vertices of a parallelogram. Find P ( x , y ).
  3. Find equation of line passing through point of intersection of lines x + 2y = 0 ; x - y = 3 parallel to 3x - 4y + 7 = 0