Pair of linear equations in two variables

1. The sytem of linear equations $5x-4y+8=0$ and $10x-8y+8=0$ has

No solution
Infinite solution
Unique solution
None of above

2. Fr what value of $k$ if $3x+2y=5$ and $kx+3y=8$ has unique solution

$k=0$
$k=\frac{9}{2}$
$k \neq \displaystyle \frac{9}{2}$
None of above

3. At what point lines $x+y=5$ and $4x+2y=10$ intersects

$(0,2)$
$(2,0)$
$(0,5)$
$(5,0)$

4. For what value of $k$ the following pair of equations have no solution $3x+y=1$ and $(2k-1)+(k-1)y=2k+1$?

$k=2,k \neq 1$
$k=2,k \neq -2$
$k=2,k \neq 3$
None of above

5. Sum of two numbers is $90$ one of the number is $20$ times of other ,find thenumbers.?

$45,45$
$60,30$
$20,70$
None of above

6. Five years ago, Seema was thrice as old as Neha. Ten years later, Seema will be twice as sold as Neha. How old are Seema and Neha ?

Seema=40years , Neha=30years
Seema=50years , Neha=30years
Seema=40years , Neha=20years
Seema=50years , Neha=20years

7. The pair of equation $x = 4$ and $y =-5$ graphically represents lines which are

$(4,5)$
$(4,-5)$
$(-5,4)$
$(5,4))$

8. The graph of $y=\frac{1}{2}$ is a line parallel to the ?

x-axis
y-axis
Both x and y axis
None of above

9. If $\displaystyle \frac{a}{e} \neq \frac{b}{d}$ then the system of equations $ax + by = c$ and $dy + ex = f$, has ?

Infinite solutions
Data is not-sufficent
No solution
Unique solution

10. The graph of $y = 4x$ is a line ?

x-axis
y-axis
passing through the origin
None of above