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Test: Cross Multiplication Method - CAT MCQ


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10 Questions MCQ Test Additional Study Material for CAT - Test: Cross Multiplication Method

Test: Cross Multiplication Method for CAT 2024 is part of Additional Study Material for CAT preparation. The Test: Cross Multiplication Method questions and answers have been prepared according to the CAT exam syllabus.The Test: Cross Multiplication Method MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Cross Multiplication Method below.
Solutions of Test: Cross Multiplication Method questions in English are available as part of our Additional Study Material for CAT for CAT & Test: Cross Multiplication Method solutions in Hindi for Additional Study Material for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test: Cross Multiplication Method | 10 questions in 10 minutes | Mock test for CAT preparation | Free important questions MCQ to study Additional Study Material for CAT for CAT Exam | Download free PDF with solutions
Test: Cross Multiplication Method - Question 1
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Which of the following equations has x = 3, y = – 4 as solution?

Test: Cross Multiplication Method - Question 2
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How many solutions of the equation 15x – 14y + 11 = 0 are possible?

Detailed Solution for Test: Cross Multiplication Method - Question 2

Since it is a linear equation, and the graph doesn’t end so it gives us infinite solutions, putting different values of x will give different values of y. For example , x = 0  ,y = 11/14  or y = 0, x = -11/15

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Test: Cross Multiplication Method - Question 3
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Find the value of ‘a” for which the system of equations ax + 2y – 4 = 0 and x – y – 3 = 0 will represent intersecting lines?​

Detailed Solution for Test: Cross Multiplication Method - Question 3

The given equations are : ax + 2y – 4 = 0, x – y – 3 = 0
 is a case of intersecting lines which meet at one.
Here a1=a,a2=1,b1=2,b2=-1

Test: Cross Multiplication Method - Question 4
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For what value of ‘k” is the pair of equations x- ky + 4 = 0 and 2x – 4y – 8 = 0 inconsistent?
Detailed Solution for Test: Cross Multiplication Method - Question 4

We have inconsistent equations when the equations are parallel. So we have 
x- ky + 4 = 0 and 2x – 4y – 8 = 0
Here, 

k = 2

Test: Cross Multiplication Method - Question 5
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Which of the following pair of linear equations is inconsistent?​
Test: Cross Multiplication Method - Question 6
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Pair of linear equations x+2y+5 = 0 and 3x+6y -1 = 0 have​
Test: Cross Multiplication Method - Question 7
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Solution for ax + by = a – b and bx – ay = a + b is​
Test: Cross Multiplication Method - Question 8
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For what value of ‘K’ will the system of equations 3x + y = 1, (2K – 1)x + (K – 1)y = 2K + 1 have no solution
Test: Cross Multiplication Method - Question 9
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How many solutions are possible for the following pair of equations? x – y = 1 and 3x – 4y = 4​
Test: Cross Multiplication Method - Question 10
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Find a and b for which (a - 1) x + 3y = 2, 6x + (1 - 2b) y = 6 infinite solution.​
Detailed Solution for Test: Cross Multiplication Method - Question 10

Two equations have infinitely many solutions when the lines are coincident lines which means 

a-1=2
a=3

1-2b = 9
b = -4

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Cross Multiplication Method MCQs with Answers

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