The equation of the plane containing the line x - x _ 1 = y - y _ 1 ~m = z - z _ 1 n is a…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
The equation of the plane containing the line \(\frac{\mathrm{x}-\mathrm{x}_{1}}{\ell}=\frac{\mathrm{y}-\mathrm{y}_{1}}{\mathrm{~m}}=\frac{\mathrm{z}-\mathrm{z}_{1}}{\mathrm{n}}\)is
a (x – x1) + b(y – y1) + c(z – z1) = 0, where :
a (x – x1) + b(y – y1) + c(z – z1) = 0, where :
- ax1 + by1 + cz1 = 0
- a + bm + cn = 0
- \(\frac{\mathrm{a}}{\ell}=\frac{\mathrm{b}}{\mathrm{~m}}=\frac{\mathrm{c}}{\mathrm{n}}\)
- x1 + my1 + nz1 = 0
Answer
(B) a + bm + cn = 0
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