If ^ , ^ , y y^ are not all equal, the point of intersection of the lines x-x^ = y- ^ =…

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

If \(\frac{\pi}{\pi^{\prime}}, \frac{\beta}{\beta^{\prime}}, \frac{y}{y^{\prime}}\) are not all equal, the point of intersection of the lines \(\frac{x-x^{\prime}}{\Xi}=\frac{y-\beta^{\prime}}{\beta}=\frac{z-y^{\prime}}{y} \text { and } \frac{x-\pi}{x^{\prime}}=\frac{y-\beta}{\beta^{\prime}}=\frac{z-y}{y^{\prime}} \text { is }\)
  1. \(\left(\boldsymbol{\Pi}-\boldsymbol{a}^{\prime}, \beta-\beta^{\prime}, \boldsymbol{\gamma}-\boldsymbol{\gamma}^{\prime}\right)\)
  2. \(\left(\boldsymbol{\mathrm { x }}+\boldsymbol{x}^{\prime}, \beta+\beta^{\prime}, \mathrm{y}+\mathrm{y}^{\prime}\right)\)
  3. \(\left(\pi \pi^{\prime}, \beta \beta^{\prime}, Y^{\prime}\right)\)
  4. None because they are non intersecting

Answer

(D) None because they are non intersecting

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