2nd Year Mathematics Chapter 4 Online MCQ Test for 12th Class Mathematics Unit 4 (Introduction to Analytic Geometry)

ax + by + c = 0, will represent equation of straight line parallel y-axis if:

• a = 0 A
• b = 0 B
• c = 0 C
• a = 0, c = 0 D

x = c is a line:

• Perpendicular to x-axis A
• Parallel to x-axis B
• Perpendicular to y-axis C
• None of these D

The symbol | | is used for:

• Parallel lines A
• Perpendicular lines B
• Non-parallel lines C
• None of these D

y = mx + c is the equation of straight line in:

• Slope-intercept form A
• Two points from B
• Point slope form C
• Intercepts form D

The distance between the points (1, 2), (2, 1).

• 1 A
• 
  B
• 
  C
• 2 D

If a straight line is perpendicular to x-axis, then its slope is:

• 0 A
• 1 B
• 2 C
• Undefined D

The line x = a is on the right of y - axis if:

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

y - y1 = m ( x - x1) is the equation of straight line in:

• Slope-intercept from A
• Point-slope from B
• Normal form C
• Intercepts form D

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

• (-2, -2) A
• (-2, 2) B
• (2, -1) C
• (0, 0 ) D

The point of intersection of the altitudes of a triangle is called:

• Centroid A
• Ortho-center B
• Circums-center C
• In-center D

Inclination of X-axis or of any line parallel to X-axis is:

• Zero A
• 
  B
• 
  C
• Undefined D

In the translation of axes which formula is true:

• x = X + h A
• X = x + h B
• x + X = h C
• None D

y = 2x + 3 is the;

• Slope-intercept form A
• Two points form B
• Point slope form C
• Intercepts form D

The point (2, 5) lies the lie 3x - y + 1 = 0

• Above A
• Below B
• On C
• None D

The line l is horizontal if and only if slope is equal to:

• 0 A
• 1 B
• 2 C
• undefined D

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

• 
  A
• 
  B
• 
  C
• 
  D

• 4 A
• 2 B
• 1 C
• 
  D

• Parallel lines A
• Non-parallel lines B
• Perpendicular lines C
• Coplanar lines D

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

• 0 A
• 1 B
• 2 C
• 3 D

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

• 1 A
• 2 B
• 3 C
• 4 D