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

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

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

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

• (1, 0) A
• (0, 1) B
• (-1, 0) C
• (0, -1) D

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

The horizontal line x' ox is called:

• x-axis A
• y-axis B
• abscissa C
• ordinate 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 the lien l is parallel to y-axis, then the slope of l is ----------------.

• 0 A
• 1 B
• -1 C
• undefined 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

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

Point of intersection of x + y = 5 & x - y = 3 is:

• (5, 5) A
• (4, 2) B
• (4, 1) C
• (1, 4) 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

The point of intersection of the altitudes of a triangle is called:

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

A quadrilateral having two parallels and two non-parallel sides is called:

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

The line y = a is below the x-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

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

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

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

• 1 A
• -1 B
• 0 C
• undefined 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 distance of any point P (x, y) from the origin O(0 , 0) is given by:

• 
  A
• 
  B
• 
  C
• 
  D