Quiz about Linear Equations In Two Variables

Question 1

If the system of equations $$3 {x}+{y}=1$$ and $$(2 {k}-1) {x}+({k}-1) {y}=2 {k}+1$$ is inconsistent, then $${k}=$$

Accepted Answer

Covalent bond

Answer

$$2$$

Answer

$$1$$

Answer

$$0$$

Answer

$$-1$$

Question 2

Graphically, the pair of equations given by
$$6 x-3 y+10=0$$
$$2 x-y+9=0$$
represents two lines which are

Accepted Answer

Covalent bond

Answer

parallel.

Answer

intersecting at exactly one point.

Answer

coincident.

Answer

intersecting at exactly two points.

Question 3

If $$49 x+51 y=499,51 x+49 y=501$$, then find the value of $$x$$ and $$y$$

Accepted Answer

Covalent bond

Answer

$$x=\frac{11}{2}$$,$$y=\frac{9}{2}$$

Answer

$$x=\frac{2}{9}$$,$$y=\frac{2}{11}$$

Answer

$$x=\frac{23}{21}$$,$$y=\frac{19}{52}$$

Answer

None of the above

Question 4

For what values of $${k}$$ will the following pair of linear equations have infinitely many solutions?
$${kx}+3 {y}-({k}-3)=0$$
$$12 x+k y-k=0$$

Accepted Answer

Covalent bond

Answer

$$6$$

Answer

$$8$$

Answer

$$10$$

Answer

$$4$$

Question 5

A train covered a certain distance at a uniform speed. If the train would have been $$6 {~km} / {h}$$ faster, it would have taken 4 hours less than the schechuled time. And, if the train were slower by $$6 {~km} / {hr}$$; it would have taken 6 hours more than the schectuled time. Find the length of the joumey.

Accepted Answer

Covalent bond

Answer

$$720 {~km}$$

Answer

$$421 {~km}$$

Answer

$$921 {~km}$$

Answer

None of the above

Cbse Board Question Paper 2022 Linear Equations In Two Variables Cbse Class 10 Maths Problems and Solutions

Many students find Linear Equations In Two Variables for Cbse Class 10 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Linear Equations In Two Variables from Cbse Board Question Paper 2022 for Cbse Class 10 preparation.