TS EAMCET · Maths · Three Dimensional Geometry
If a plane passing through the points \((2,3,0),(0,-5,2)\) and \((-2,0,3)\) meets the \(\mathrm{X}, \mathrm{Y}, \mathrm{Z}\)-axes in \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) respectively then \(\mathrm{A}=\)
- A \(\left(\frac{3}{7}, 0,0\right)\)
- B \(\left(\frac{7}{3}, 0,0\right)\)
- C \(\left(\frac{21}{13}, 0,0\right)\)
- D \((21,0,0)\)
Answer & Solution
Correct Answer
(B) \(\left(\frac{7}{3}, 0,0\right)\)
Step-by-step Solution
Detailed explanation
Given points from which plane passing through are \((2,3,0),(0,-5,2)\) and \((-2,0,3)\). Let the equation of plane be \(\frac{{x}}{{a}}+\frac{{y}}{{b}}+\frac{{z}}{{c}}=1\). Satisfy all the points,…
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