A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z=4 passes through ( 1,-2 ,1) . the distsnce of the plane from the point (1,2,2) is

Answers (1)

Solution:   The equation of  the plane through the point (1,-2,1)

       and  perpendicular to planes 

               2x-2y+z=0 hspace0.5cmand hspace0.5cmx-y+2z=4  is given by 

                             eginvmatrix x-1 & y+2 & z-1\ 2& -2 & 1\ 1 &-1 &2 endvmatrix=0Rightarrow hspace0.5cmx+y+1=0

   Its distance from the point    (1,2,2)   is    left | frac1+2+1sqrt2 
ight |=2sqrt2.      

Most Viewed Questions

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions