Question

the point of intersection of x/a +y/b=1 and x/b+y/a=1 is (k,3) find k ​

Answer 1

Step-by-step explanation:

we have,

a

x

+

b

y

=1and

b

x

+

a

y

=1

⇒bx+ay−ab=0⟶(1)

and,ax+by−ab=0⟶(2)

Equation of line through their point of intersection will be given by:

(bx+ay−ab)+k(ax+by−ab)=0

Answer 2

answer 3

Step-by-step explanation:

method 1

by puting value of x in term of y

method 2

by symmetry if we put y=3, it can easily notice that when we put x=3 both eq will become same

method 3

as both eq represent mirror image of each other wrt x=y axis if y=3 then x=3 also