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

Infinite number of lines can pass through:

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

x = 4 is a line:

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

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

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 ratio in which x-axis divides the line segment joining the points:

• 1 : 1 A
• 1 : 3 B
• 1 : 5 C
• 1 : 2 D

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

• 0 A
• 1 B
• -1 C
• undefined D

General form of equation of line is:

• ax - by + c = 0 A
• ax + by - c = 0 B
• ax + by + c = 0 C
• ax - by - c = 0 D

The vertical line y'oy is called:

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

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

• a - b = 0 A
• a + b = 0 B
• a + b > 0 C
• a - b < 0 D

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

• Zero A
• 
  B
• 
  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

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

A parallelogram is a rhombus if and only if its diagonals are:

• Parallel A
• Perpendicular B
• Equal C
• None of these 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 coordinate axes divide the plane into------------ equal parts:

• 1 A
• 2 B
• 3 C
• 4 D

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

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

• (-3, 9) A
• (-3, 7) B
• (-9, 11) C
• (3, 7) D