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

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

• Above A
• Below B
• On C
• None 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

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 = 4 is a line:

• Parallel to x - axis A
• Parallel to y - axis B
• Perpendicular to y-axis 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

Equation of a line parallel to x-axis:

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

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

• 0 A
• 1 B
• 2 C
• Undefined D

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

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

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

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

• (-3, 9) A
• (-3, 7) B
• (-9, 11) C
• (3, 7) D

• Line parallel to x-axis A
• Line parallel to y-axis B
• Line passing through the origin C
• Both (a) and (b) D

In the translation of axes which formula is true:

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

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

• Positive A
• Negative B
• Undefined C
• None of these D

A quadrilateral having two parallels and two non-parallel sides is called:

• Trapezium A
• Rectangle B
• Rhombus C
• None of these 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

A linear equation in two variables represents:

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

A parallelogram is a rhombus if and only if its diagonals are:

• Parallel A
• Perpendicular B
• Equal C
• None of these D