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

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 point of intersection of the medians of a triangle is called:

• Centroid A
• Ortho-center 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

A linear equation in two variables represents:

• Circle A
• Ellipse B
• Hyberbola C
• Straight line D

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

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

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

• 3 A
• 1 B
• 2 C
• 0 D

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

• 0 A
• 1 B
• 2 C
• Undefined 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

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

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

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

The line y = c is above the x - axis, if:

• c > 0 A
• c < 0 B
• c = 0 C
• 
  D

Equation of a line parallel to x-axis:

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

Distance of the point (-3, 7) from x-axis is:

• 3 A
• -3 B
• 7 C
• 10 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

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

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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

The line y = a is below the x-axis, if:

• a > 0 A
• a < 0 B
• a = 0 C
• 
  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

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