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 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

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

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

Two non parallel lines intersect each other at:

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

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

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

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

• 1 A
• -1 B
• 0 C
• undefined 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

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

y = 2x + 3 is the;

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

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

• 30° A
• 45° B
• 60° C
• 90° D

• 
  A
• 
  B
• 
  C
• 2 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

The vertical line y'oy is called:

• x-axis A
• y-axis B
• abscissa C
• Ordinate D

x = 4 is a line:

• Parallel to x - axis A
• Parallel to y - axis B
• Perpendicular to y-axis C
• None of these 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

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

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

Equation of a line parallel to x-axis:

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