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The angle between the planes represented by is
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By Expert Faculty of Sri Chaitanya
a
Cos−11621
b
Cos−11721
c
Cos−11921
d
π2
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Correct option is A
The equation 2x2−6y2−12z2+18yz+2zx+xy=0 represents two planes and they are2x−3y+6z=0 ..........(1)x+2y−2z=0 ..........(2)If θ is the angle between the planes (1) and (2) then cosθ=|(2)(1)+(−3)(2)+6(−2)|22+(−3)2+6212+22+22=1621 ∴θ=Cos−11621Method 2:cosθ=|a+b+c|(a+b+c)2+4(f2+g2+h2−ab−bc−ca)8+4k+24=0k=−8
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If the points (1, 1, -3) and (1, 0, -3) lie on opposite sides of the plane then
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