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प्रश्न
The equation of the plane through the intersection of the planes ax + by + cz + d = 0 andlx + my + nz + p = 0 and parallel to the line y=0, z=0
पर्याय
(bl − am) y + (cl − an) z + dl − ap = 0
(am − bl) x + (mc − bn) z + md − bp = 0
(na − cl) x + (bn − cm) y + nd − cp = 0
None of these
उत्तर
The equation of the plane passing through the intersection of the planes
ax + by + cz + d = 0
and lx + my + nz + p = 0
will be (ax + by + cz + d) + λ(lx + my + nz + p) = 0
x(a + λl) + y(b + λm) + z(c + λn) + (d + λp)=0 .......(1)
Since the plane is parallel to the line y=0 and z=0
a + λl=0
λ \[\frac{- a}{l}\]
putting the value of λ in equation (1), we get
Hence, option (a)
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