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

The centroid of a triangle is a point that divides each median in the ratio:

• 2 : 1 A
• 2 : 3 B
• 1 : 3 C
• 4 : 3 D

Distance of the point (-3, 7) from x-axis is:

• 3 A
• -3 B
• 7 C
• 10 D

Equation of the line parallel to x + 3y - 9 = 0 is:

• 3x - y - 9 = 0 A
• 3x + 9y + 7 = 0 B
• 2x - 6y - 18 = 0 C
• x - 3y + 9 = 0 D

Infinite number of lines can pass through:

• One point A
• Two points B
• Three points C
• Four points D

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

• Internally A
• May divide B
• Externally C
• None of these 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

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

• Line parallel to x-axis A
• Line parallel to y-axis B
• Line passing through the origin C
• Both (a) and (b) D

The horizontal line x' ox is called:

• x-axis A
• y-axis B
• abscissa C
• ordinate D

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

• Zero A
• 
  B
• 
  C
• Undefined D

For any point (x, y) and y - axis:

• y = 0 A
• y = -1 B
• y = 1 C
• x = 0 D

The point (5, 8) lies the line 2x - 3y + 6 = 0

• Above A
• Below B
• On C
• None D

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

• Internally A
• May be divide B
• Externally C
• None of these D

Joint equation of y + 2x = 0, y - 3x = 0 is:

• (y+2x)(y-3x) = 0 A
• (y-2x)(y-3x) = 0 B
• (y+2x)(y+3x) = 0 C
• (y-2x)(y+3x) = 0 D

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

• -1 A
• 1 B
• 3 C
• -3 D

The line y = c is above the x - axis, if:

• c > 0 A
• c < 0 B
• c = 0 C
• 
  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 coordinate axes divide the plane into------------ equal parts:

• 1 A
• 2 B
• 3 C
• 4 D

y = -2 is a line:

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

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

• 0 A
• 1 B
• 2 C
• undefined D