Chapter Exam

Unit 1: Locus — Online MCQ Test

Q: A point moves such that its distance from the x-axis is 3 units. What is the locus?

Answer: B. y = 3 or y = -3 — Distance from the x-axis is measured by the absolute value of the y-coordinate, so |y| = 3.

Q: If a point P(x, y) is such that x + y = 5, what is the geometric interpretation of this locus?

Answer: B. A straight line — An equation of the form ax + by + c = 0 represents a straight line in the plane.

Q: If a point P(x, y) satisfies the condition that its distance from the origin is equal to the square of its distance from the x-axis, then which equation represents the locus?

Answer: A. x^2 + y^2 = y^4 — Distance from origin is √(x^2+y^2) and distance from x-axis is |y|. Squaring the given relation gives x^2 + y^2 = y^4.

MATHEMATICS - 1B · CLASS 11 INTERMEDIATE 1 YEAR · Telangana State Board

Practice Unit 1: Locus with a free chapter-wise online MCQ test for Telangana State Board CLASS 11 INTERMEDIATE 1 YEAR MATHEMATICS - 1B. This chapter covers: This chapter introduces the definition of locus finding equations of loci under given geometrical conditions and geometric constraints on points.. AI-generated questions from basic to board-exam level, with instant results and explanations.

Questions

20m

Time Limit

Attempts Left

10 random questions from this chapter (mixed difficulty)
Questions you've seen before won't repeat until the pool resets
You have 20 minutes — exam auto-submits when time is up
Maximum 3 attempts per chapter
Results and explanations shown immediately after submission

New here? Register free — includes 3 free chapter exams.

Unit 1: Locus — Important Questions & Answers (FAQ)

Frequently asked questions from Telangana State Board CLASS 11 INTERMEDIATE 1 YEAR MATHEMATICS - 1B — Unit 1: Locus, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the locus of a point in a plane?

A. A curve or set of points satisfying a given condition ✓
B. Only a straight line
C. Only a circle
D. Any random set of points

Answer: A. A curve or set of points satisfying a given condition
A locus is the path or set of all points that satisfy a specified geometric condition.

Which of the following is the locus of points equidistant from two fixed points?

A. The line joining the two points
B. The perpendicular bisector of the segment joining the two points ✓
C. The angle bisector of the angle formed by the points
D. A circle with the two points as ends of a diameter

Answer: B. The perpendicular bisector of the segment joining the two points
The perpendicular bisector consists of all points equidistant from the two fixed points.

A point moves such that its distance from the x-axis is 3 units. What is the locus?

A. x = 3 or x = -3
B. y = 3 or y = -3 ✓
C. x^2 + y^2 = 9
D. y = x

Answer: B. y = 3 or y = -3
Distance from the x-axis is measured by the absolute value of the y-coordinate, so |y| = 3.

If a point P(x, y) is such that x + y = 5, what is the geometric interpretation of this locus?

A. A circle with center at origin
B. A straight line ✓
C. A parabola
D. A point

Answer: B. A straight line
An equation of the form ax + by + c = 0 represents a straight line in the plane.

If a point P(x, y) satisfies the condition that its distance from the origin is equal to the square of its distance from the x-axis, then which equation represents the locus?