Question

Point (4,1) lies on the line:
(a) x + 2y = 5 (b) x + 2y = -6
(C) x + 2y = 6
(d) x + 2y = 16​

Answer 1

Answer:

C

Step-by-step explanation:

as we would put the value x=4 and y=1

Answer 2

Answer:

Option C.

Step-by-step explanation:

If a point (a,b) lies on a line, then the equation of line must be satisfied by the point (a,b).

The given point is (4,1).

Check equation equation where the equation is satisfied by the point (4,1).

In option (A), the given equation is

$x+2y=5$

$LHS=x+2y\Rightarrow (4)+2(1)=4+2=6\neq 5$

$LHS\neq RHS$

Therefore option A is incorrect.

In option (B), the given equation is

$x+2y=-6$

$LHS=x+2y\Rightarrow (4)+2(1)=4+2=6\neq -6$

$LHS\neq RHS$

Therefore option B is incorrect.

In option (C), the given equation is

$x+2y=6$

$LHS=x+2y\Rightarrow (4)+2(1)=4+2=6$

$LHS=RHS$

Therefore, the correct option is C.

In option (D), the given equation is

$x+2y=16$

$LHS=x+2y\Rightarrow (4)+2(1)=4+2=6\neq 16$

$LHS\neq RHS$

Therefore option D is incorrect.