TS EAMCET · Maths · Vector Algebra
The volume of the tetrahedron (in cubic units) formed by the plane \(2 x+y+z=K\) and the coordinate planes is \(\frac{2 V^3}{3}\), then \(K: V=\)
- A \(1: 2\)
- B \(1: 6\)
- C \(4: 3\)
- D \(2: 1\)
Answer & Solution
Correct Answer
(D) \(2: 1\)
Step-by-step Solution
Detailed explanation
Equation of given plane is \(2 x+y+z=K\) Point of intersection of plane (i) with the coordinate axes is \(A\left(\frac{K}{2}, 0,0\right), B(0, K, 0)\) and \(C(0,0, K)\). Now, volume of the tetrahedron \(O A B C\)…
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