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

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

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

• Positive A
• Negative B
• Undefined C
• None of these D

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

Equation of a line parallel to x-axis:

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

y = 2x + 3 is the;

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

In the translation of axes which formula is true:

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

The point of intersection of internal bisectors of the angles of a triangle is called:

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

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

• 0 A
• 1 B
• -1 C
• undefined D

The horizontal line x' ox is called:

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

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

• 4 A
• 2 B
• 1 C
• 
  D

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

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

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

• h² < ab A
• h²> ab B
• h²= ab C
• None of these D

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

• y = 1 A
• y = 0 B
• y = -1 C
• y = 2 D

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

• 0 A
• 1 B
• 2 C
• 3 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

• 
  A
• 
  B
• 
  C
• 2 D

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

If (x, y) are the coordinate of a point ordered pair is called:

• Abscissa A
• Ordinate B
• Coordinate C
• Ordered pair D

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

• 30° A
• 45° B
• 60° C
• 90° D