Second Year Mathematics Chapter 4 Online MCQ Test Introduction to Analytic Geometry Preparation

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

Equation of a line parallel to x-axis:

• x = 0 A
• x = y B
• y = a C
• x = a D

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

• 3 A
• 1 B
• 2 C
• 0 D

If the lien l is parallel to y-axis, then the slope of l is ----------------.

• 0 A
• 1 B
• -1 C
• undefined 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

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

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

• 3 A
• -3 B
• 7 C
• 10 D

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

X-coordinate of any point on Y-axis:

• 0 A
• x B
• y C
• 1 D

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

• c > 0 A
• c < 0 B
• c = 0 C
• 
  D

• Line parallel to x - axis A
• Line parallel to y - axis B
• Inclined C
• Both (a) and (b) D

The symbol | | is used for:

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

The vertical line y'oy is called:

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

Two non parallel lines intersect each other at:

• 1 point A
• 2 points B
• 3 points C
• 4 points D

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

• 3x + 2y - 8 = 0 A
• 3x - 2y + 8 = 0 B
• 3x - 2y - 8 = 0 C
• 3x + 2y + 8 = 0 D

The point of intersection of the perpendicular bisectors of a triangle is called:

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

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

• 1 A
• -1 B
• 0 C
• undefined D

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

• 
  A
• 
  B
• 
  C
• 
  D

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

• x + y + 7 = 0 A
• x - y + 7 = 0 B
• y - x + 7 = 0 C
• None of these D

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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