Chapter Exam

Chapter 3: Analytical Geometry — Online MCQ Test

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

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

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

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

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

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

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

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

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

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

BUSINESS MATHS AND STATISTICS · CLASS 11th · Tamil Nadu State Board

Practice Chapter 3: Analytical Geometry with a free chapter-wise online MCQ test for Tamil Nadu State Board CLASS 11th BUSINESS MATHS AND STATISTICS. 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 (FAQ)

Frequently asked questions from Tamil Nadu State Board CLASS 11th BUSINESS MATHS AND STATISTICS — Chapter 3: Analytical Geometry, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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