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Question : 93 of 150
Marks:
+1,
-0
Solution:
The shortest distance between the lines
‌=‌=‌ and
‌=‌=‌ is
∴d=|‌| || |
| √(8−3)2+(10−λ)2+(15−4λ)2 |
| ‌⇒‌=|‌| 5−2λ |
| √17λ2−140λ+350 |
|‌⇒‌=‌| 25−20λ+4λ2 |
| 17λ2−140λ+350 |
‌⇒5λ2−80λ+275=0‌⇒λ2−16λ+55=0‌⇒(λ−5)(λ−11)=0‌⇒λ=5‌ or ‌λ=11∴‌‌ Sum of possible values of
λ=16
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