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

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

• Abscissa A
• Ordinate B
• Coordinate axes C
• None of these 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 (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

• 1 A
• 2 B
• 7 C
• -7 D

y = 2x + 3 is the;

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

Distance of the point (-2, 3) from y-axis is:

• -2 A
• 2 B
• 3 C
• 1 D

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

• 30° A
• 45° B
• 60° C
• 90° 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

The coordinate axes divide the plane into------------ equal parts:

• 1 A
• 2 B
• 3 C
• 4 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

• 4 A
• 2 B
• 1 C
• 
  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

Equation of a line parallel to x-axis:

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

ax + by + c = 0 has matrix from as:

• 
  A
• |ax + by| = |-c| B
• [ax + by ] = [c] C
• [ax - by] = [-c] D

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

• Parallel A
• Perpendicular B
• Equal C
• None of these D

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

• 0 A
• 1 B
• 2 C
• Undefined 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

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

• Rectangle A
• Rhombus B
• Parallelogram C
• None of these D

The horizontal line x' ox 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