AP EAMCET Engineering 2018 Apr 22 Shift 2 Paper

Section: Mathematics

Question : 61 of 160

Marks: +1, -0

A variable plane passes through a fixed point (α,β,γ) and meets the coordinate axes in A, B, and C. Let P1,P2‌and‌P3 be the planes passing through A, B, C and parallel to the coordinate planes YZ, ZX, XY respectively. Then the locus of the point of intersection of the planes P1,P2‌and‌P3 is

αx+βy+γz=1
α
x
+
β
y
+
γ
z
=1
αx2+βy2+γz2=1
αβx+βγy+αγz=1

Validate

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