Chapter 3: Analytical Geometry — Online MCQ Test

BUSINESS MATHS AND STATISTICS · CLASS 11th · Tamil Nadu State Board
Practice Chapter 3: Analytical Geometry with a free chapter-wise online MCQ test. This chapter covers: This chapter examines locus equations systems of straight lines pair of straight lines and circle equations. Students study standard forms of conics including parabola ellipse and.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 3: Analytical Geometry — Important Questions & Answers

The locus of a point which is equidistant from two fixed points is the __________ of the line segment joining the two points.

A. Perpendicular bisector
B. Midpoint
C. Parallel line
D. Angle bisector

Answer: A. Perpendicular bisector
By definition, the locus of points equidistant from two fixed points is the perpendicular bisector of the segment connecting them.

What is the slope of the line represented by the equation 3x + 4y + 7 = 0?

A. 3/4
B. -3/4
C. 4/3
D. -4/3

Answer: B. -3/4
For a line Ax + By + C = 0, the slope is -A/B. Here, -3/4.

The point of intersection of the lines x + y = 2 and x - y = 0 is:

A. (1, 1)
B. (2, 2)
C. (0, 0)
D. (1, 0)

Answer: A. (1, 1)
Solving x + y = 2 and x = y gives 2x = 2, so x=1 and y=1.

Determine which of the following lines is parallel to the line 5x - 2y + 4 = 0?

A. 2x + 5y = 0
B. 5x - 2y - 10 = 0
C. 5x + 2y + 4 = 0
D. 2x - 5y + 4 = 0

Answer: B. 5x - 2y - 10 = 0
Parallel lines have the same coefficients for x and y. Only 5x - 2y satisfies this condition.

The distance between the parallel lines 3x + 4y + 5 = 0 and 3x + 4y - 10 = 0 is:

A. 1
B. 2
C. 3
D. 5

Answer: C. 3
Distance d = |c1 - c2| / sqrt(A^2 + B^2) = |5 - (-10)| / sqrt(3^2 + 4^2) = 15 / 5 = 3.