Equations reducible to linearPractice Questions & MCQs
Practice Equations reducible to linear questions from Pair of Linear Equations in Two Variables (Class 10 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.
Equations reducible to linearQuiz - Solve & Score
Q1. If 1/x = 2 from the reduced system, then x equals:
- A.1/2
- B.4
- C.2
- D.-2
Answer: A. 1/2
Spot-the-setup - a typical math numerical. The data on the table: 1, 2. We are after the quantity the stem asks for. Tool of choice - 1/x = 2. Rearrange it for the unknown before substituting. Numbers in: 1/x = 2 → x = 1/2. Lock in option A) 1/2. Trap-watch: option B) '4' misses the point - x = 1/2, not 4; option C) '2' is wrong because x = 1/(1/x) = 1/2, not 2.
Q2. If u = 1/x = 2 and v = 1/y = 3, then (x, y) is (NCERT):
- A.(1/2, 1/3)
- B.(3, 2)
- C.(1/3, 1/2)
- D.(2, 3)
Answer: A. (1/2, 1/3)
Q3. A train covers a distance at uniform speed. If it were 10 km/h faster it would take 2 h less; 10 km/h slower, 3 h more. Such problems reduce to (NCERT):
- A.a pair of equations in speed and time
- B.a quadratic only
- C.no equations
- D.a single linear equation
Answer: A. a pair of equations in speed and time
Given 10 km, asked for the unknown. By apply the distance formula d = sqrt((x2-x1)^2 + (y2-y1)^2) to the two given points. apply the distance formula d = sqrt((x2-x1)^2 + (y2-y1)^2) to the two given points. substitute the coordinates and square the differences. Therefore option A) a pair of equations in speed and time. Others fail: option B) 'a quadratic only' doesn't hold - It sets up a solvable pair; option C) 'no equations' is incorrect: Each condition gives an equation.
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Get early accessEquations reducible to linear - Frequently asked questions
Where can I practise Equations reducible to linear questions for Class 10 Maths?
RankByte has Equations reducible to linear practice questions and MCQs from Pair of Linear Equations in Two Variables (Class 10 Maths), each with the correct answer and a step-by-step solution - free to start.
Are these Equations reducible to linear questions important for the exam?
Yes. These Equations reducible to linear 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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Every Equations reducible to linear question on RankByte comes with the correct answer and a full step-by-step solution, so you learn the concept instead of just guessing.