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

If the lien l is parallel to y-axis, then the slope of l is ----------------.

• 0 A
• 1 B
• -1 C
• undefined D

The distance between the points (1, 2), (2, 1).

• 1 A
• 
  B
• 
  C
• 2 D

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

• 
  A
• Zero B
• 
  C
• Undefined D

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

• x + y + 7 = 0 A
• x - y + 7 = 0 B
• y - x + 7 = 0 C
• None of these 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

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

• 1 A
• 2 B
• 3 C
• 4 D

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

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

Equation of a line parallel to x-axis:

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

y-coordinate of any point on X-axis:

• 0 A
• x B
• y C
• 1 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 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 perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

• 0 A
• 1 B
• 2 C
• 3 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

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

The point (5, 8) lies the line 2x - 3y + 6 = 0

• Above A
• Below B
• On C
• None D

• 4 A
• 2 B
• 1 C
• 
  D

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

• 3 A
• -3 B
• 7 C
• 10 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

y = 2x + 3 is the;

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