AP EAPCET 20-Aug-2021 Shift 2 Paper

Given equation of plane is 4x+3y+2z=2 ...(i)
General form is

x

a

+

y

b

+

z

c

=1 , where a,b and c are intercept on coordinate axis, convert Eq. (i) in general form as

4

2

x+

3

2

y+

2

2

z=1
⇒2x+

3

2

y+z=1
⇒

x

1∕2

+

y

2∕3

+

z

1

=1
∴x-intercept =

1

2

=(a)
y-intercept =

2

3

=(b)
z-intercept =1=(c)
Then, a+b+c=

1

2

+

2

3

+1 =

3+4+6

6

=

13

6