Quadrants and Sign ConventionsPractice Questions & MCQs
Practice Quadrants and Sign Conventions questions from Coordinate Geometry (Class 9 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Quadrants and Sign ConventionsQuiz - Solve & Score
Q1. For how many integer values of k in the range -3 <= k <= 3 does the point (k, k^2 - 4) lie strictly in Quadrant IV?
- A.1
- B.2
- C.3
- D.0
Answer: A. 1
Start by listing the data - -3, 3, 2, 4 (math, chapter 'Coordinate Geometry'). The unknown we need is how many integer values of k in the range -3 <= k <= 3 does the point (k, k^2 - 4) lie strictly in Quadrant IV?. From the chapter we use the relation: integers: k = 1 only. The arithmetic is: integers: k = 1 only → count = 1. That lands on option A) 1. As for the others, option B) '2' fails since Need k > 0 AND k^2 < 4; only k = 1 qualifies; option C) '3' doesn't hold - Recount: k > 0 AND -2 < k < 2.
Q2. For how many integer values of k in the range -5 <= k <= 5 does the point (k, k^2 - 4) lie strictly in Quadrant IV?
- A.1
- B.2
- C.3
- D.0
Answer: A. 1
First, read what's there - a typical math numerical. The data on the table: -5, 5, 2, 4. We are after how many integer values of k in the range -5 <= k <= 5 does the point (k, k^2 - 4) lie strictly in Quadrant IV?. Tool of choice - integers: k = 1 only. Rearrange it for the unknown before substituting. Numbers in: integers: k = 1 only → count = 1. Lock in option A) 1. Trap-watch: option B) '2' is incorrect: Need k > 0 AND k^2 < 4; only k = 1 qualifies; option C) '3' doesn't hold - Recount: k > 0 AND -2 < k < 2.
Q3. For how many integer values of k in the range -2 <= k <= 4 does the point (k, k^2 - 4) lie strictly in Quadrant IV?
- A.1
- B.2
- C.3
- D.0
Answer: A. 1
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Yes. These Quadrants and Sign Conventions important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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