Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3F>Q 17

EASY

10th CBSE

IMPORTANT

Earn 100

Find $k$ for which the system $k x - y = 2$ and $6 x - 2 y = 3$ has a unique solution.

Important Questions on Linear Equations in Two Variables

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3F>Q 18

Find

k

for which the system

2 x + 3 y - 5 = 0

and

4 x + k y - 10 = 0

has an infinite number of solutions.

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3F>Q 19

Show that the system

2 x + 3 y - 1 = 0

and

4 x + 6 y - 4 = 0

has no solution.

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3F>Q 20

Find

k

for which the system

x + 2 y - 3 = 0

and

5 x + k y + 7 = 0

is inconsistent.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3F>Q 21

Solve:

\frac{3}{x + y} + \frac{2}{x - y} = 2, \frac{9}{x + y} - \frac{4}{x - y} = 1

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 1

If

2 x + 3 y = 12

and

3 x - 2 y = 5

then

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 2

If

x - y = 2

and

\frac{2}{x + y} = \frac{1}{5}

then

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 3

If

\frac{2 x}{3} - \frac{y}{2} + \frac{1}{6}

= 0

and

\frac{x}{2} + \frac{2 y}{3} = 3

then

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 4

For the given equations

\frac{1}{x} + \frac{2}{y} = 4

and

\frac{3}{y} - \frac{1}{x} = 11

, we have