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

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

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

Infinite number of lines can pass through:

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

y-coordinate of any point on X-axis:

• 0 A
• x B
• y C
• 1 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

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

• 1 A
• 2 B
• 3 C
• 4 D

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

• 1 A
• -1 B
• 0 C
• undefined 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

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

• 0 A
• 1 B
• 2 C
• Undefined D

Equation of a line parallel to x-axis:

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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 point of intersection of the medians of a triangle is called:

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