Distance: 1+4+4∣2+6−2λ−9∣=3∣−1−2λ∣=3.
∣2λ+1∣=9, so 2λ+1=±9.
λ=4 or λ=−5. Sum =−1.
The sum of all the values of λ for which the distance of the point P (2, 3, λ) from the plane x+2y−2z=9 is 3 units, is
Held on 6 Aug 2022 · Verified 13 Jul 2026.
−9
−1
1
9
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