Question

Find the plane that passes through the point (2,4,-3) and is parallel to the plane -2x + 4y - 5z + 6 = 0

Answer 1

let A,B,C are directional ratio of requird plane that passes through (2,4,-3)
so eq of plane A(x-xo)+B(y-yo)+C(z-zo)=0
here xo,yo,zo=(2,4,-3)
A(x-2)+B(y-4)+C(z+3)=0----->eq1
consider eq of given plane
-2x+4y-5z+6=0
A1,B1,C1=-2,4,-5(directional ratios of its normal)
since both plane are perallel,thier normal are parallel
by parallel line condition
A/A1=B/B1=C/C1=K(SAY)

Answer 2

A=-2K,B=4K,C=-5K
PUT IN 1
AND GET THE EQ THATS EQN OF PLANE