Question

. Equation of l, is y = 3 and equation of l2 is
x = 2y.
(1) Write down the co-ordinates of B.​

Answer 1

Step-by-step explanation:

x=2y

x=2×3

x=6 there foure y=3

Answer 2

Answer:

Let the equation of any line passing through the point of intersection of the given line be

(x+2y−1)+a(2x−y−1)=0

Reducing the equation to its intercept form

(1+a)

x(1+2a)

+

(1+a)

y(2−1)

=1

Therefore coordinates of A and B, where this line meets the coordinate axie respectively.

A=(

1+2a

1+a

,0) on x-axis

B=(0,

2−a

1+a

) on y-axis

Mid point of AB=(

2+4a

1+a

,

4−2a

1+a

)

Now we find the locus of this point by eliminating a between the two expressions

x=

2+4a

1+a

y=

4−2a

1+a

y=

10x−3

x

x=10xy−3y

x+3y−10xy=0