12th class Mathematics chapter 4 online mcq test with answers for Fa part 2 Mathematics Chapter 4 (Introduction to Analytic Geometry)

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

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

• Positive A
• Negative B
• Zero C
• undefined D

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

• 0 A
• 1 B
• 2 C
• 3 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

The point of intersection of the perpendicular bisectors of a triangle is called:

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

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

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

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

• Parallel lines A
• Perpendicular lines B
• Non-parallel lines C
• None of these D

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

• -1 A
• 1 B
• 3 C
• -3 D

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

• a > 0 A
• a < 0 B
• a = 0 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

y - y1 = m ( x - x1) is the equation of straight line in:

• Slope-intercept from A
• Point-slope from B
• Normal form C
• Intercepts form D

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

• Zero A
• 
  B
• 
  C
• Undefined D

The line l is horizontal if and only if slope is equal to:

• 0 A
• 1 B
• 2 C
• undefined D

Two non parallel lines intersect each other at:

• 1 point A
• 2 points B
• 3 points C
• 4 points D

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

• 0 A
• 1 B
• 2 C
• Undefined D

The symbol | | is used for:

• Parallel lines A
• Perpendicular lines B
• Non-parallel lines C
• None of these D

Equation of a line parallel to x-axis:

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