FA Part 2 Mathematics Chapter 4 Test Online

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 2 D

Equation of a line parallel to x-axis:

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

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

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

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

A linear equation in two variables represents:

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

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

• Internally A
• May be divide B
• Externally C
• None of these D

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

• 3 A
• -3 B
• 7 C
• 10 D

In the translation of axes which formula is true:

• x = X + h A
• X = x + h B
• x + X = h C
• None D

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

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

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

• Abscissa A
• Ordinate B
• Coordinate axes C
• None of these D

For any point (x, y) on x-axis:

• y = 1 A
• y = 0 B
• y = -1 C
• y = 2 D

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

• 0 A
• 1 B
• 2 C
• 3 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