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Question : 30 of 160
Marks:
+1,
-0
Solution:
Since we know that two lines are coplanar if
|| x2−x1 | y2−y1 | z2−z1 |
| a1 | b1 | c1 |
| a2 | b2 | c2 |
|=0 ...(i)
Given lines are
L1:== ∴x1=3,y1=2,z1=1 a1=2,b1=3,c1=λ L2:== a2=3,b2=2,c2=3 From Eq. (i)
||=0 ⇒||=0 ⇒30−5λ−10=0 ⇒λ=4 ⇒sin−1(sin‌4)+cos−1(cos‌4) ⇒(π−4)+(2π−4)=(3π−8)
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