MHT CET 2019 Math Solved Paper

We know that equation of plane passing through a point with position vector

→

a

and normal to the vector

→

r

is :
(

→

r

−

→

a

).n=0
∵ the plane passes through ( - 1 , 2 , 1 )
∴

→

a

=−

⋀

i

+2

⋀

j

+

⋀

k

Also plane is perpendicular to the line containing (-3,1,2) and (2,3,4)
∴

→

n

=5

⋀

i

+2

⋀

j

+2

⋀

k

∴ required equation is :
⇒

→

r

.(5

⋀

i

+2

⋀

j

+2

⋀

k

)=1