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Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Class 9 MCQ


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25 Questions MCQ Test - Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics for Class 9 2024 is part of Class 9 preparation. The Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics questions and answers have been prepared according to the Class 9 exam syllabus.The Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics below.
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Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 1

Rozly can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water?       

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 2

If 2a – 3 = 5 and 3b + 1 = 2. Then 3b – 2a is :

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Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 3

The linear equation y = 2x + 3 cuts the y-axis at :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 4

The equation 2x + 5y = 7 has a unique solution, if x, y are:

Detailed Solution for Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 4
 In natural numbers, there is only one pair i.e., (1, 1) which satisfy the given equation but in positive real numbers, real numbers and rational numbers there are many pairs to satisfy the given linear equation.
Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 5

(2, 1) is a point which belong to the line :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 6

One set of ordered pair which belong to a straight line represented by an equation y = 2x – 1 is :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 7

Ordered pair that satisfy the in equation x + y + 1 < 0 is :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 8

Which equation is the slope intercept form of –x + 6y = 12 :

Detailed Solution for Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 8
Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 9

Which is an equation of the line with slope 2/3 that passes through the point (4, –1) ?

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 10

 which equation fits the data in the table ?

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 11

What is the slope of the line y = 2x – 3 ?

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 12

Which of the following pairs of equations have the same solutions :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 13

The option which is not a solution of the equation 2x + 3y = 6, is:

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 14

ax + by + c = 0 does not represent equation of line if :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 15

What will be the solution of these equations ax+by=a-b, bx-ay=a+b       

Detailed Solution for Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 15
Ax+by=a-b
ax=a-b-by
x=a-b-by/a←
bx-ay=a+b
substituting
b(a-b-by/a)-ay=a+b
ab-b^2-b^2y/a-ay=a+b
ab-b^2-b^2y-a^2y/a=a+b
ab-b^2-(b^2+a^2)y=a^2+ab
-(b^2+a^2)y=a^2+ab-ab+b^2
(b^2+a^2)y=-(a^2+b^2)
y=-(a^2+b^2)/a^2+b^2
y=-1←
substituting value of y
x=a-b-b(-1)/a
x=a-b+b/a
x=a/a
x=1
Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 16

The equation y = 3x + 5n has :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 17

The missing member 'x' in the ordered pair (x, – 8) if the second member of the pair is 4 more than the first member is :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 18

Point of intersection of the lines x + y = 1 and x – y = 1 are :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 19

Point of intersection of the lines x + y = 1 and 2x + 2y = 4 are :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 20

The cost of a note book is twice the cost of a pen. If the cost of a note book is 'x' and that of a pen is 'y', then a linear equation in two variables to represent is :

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 21

The graph of the line x = 4 passes through

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 22

The graph of the line y = 3 passes through

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 23

Which of the following is not a solution of 3x + 4y = 12?

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 24

Any point on the x-axis is of the form

Linear Equation In Two Variables - Olympiad Level MCQ, Class 9 Mathematics - Question 25

Any point on the y-axis is of the form

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