UPSC NDA Math Model Paper 5

Let the equation of line be

x

a

+

y

b

=1 ........(1)
Where a is x-intercept and b is y-intercept.
The line is passing through (2,3). So, (2,3) should satisfy the equation of line.
Put x = 2 & y = 3 in equation (1)

2

a

+

3

b

=1 .........(2)
Now, we have given that the intercept on the positive y-axis equal to twice its intercept on the positive x-axis.
So, b = 2a
Put b = 2a in equation 2

2

a

+

3

2a

=1
⇒ 2 + 3/2 = a
⇒ a = 7/2
Now, b = 2a = 7
So, equation of line will be,

x

7

+

y

7

=1
⇒2x+y=7