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Question

The lines x1=y2=z3 and x−1−2=y−2−4=z−3−6 are :-

A
Coincident
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B
skew
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C
intersecting
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D
parallel
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Solution

The correct option is C intersecting

L1=xx1a1=yy1b1=zz1c1=x1=y2=z3

L2=xx2a2=yy2b2=zz2c2=x12=y24=z36 NOW ∣ ∣X2X1y2y1z2z1a1b1c1a2b2c2∣ ∣

=∣ ∣123123243∣ ∣ determinant of above matrix =0 Hence line intersect ,


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