Q.
If the angle between line with d.c’s −221,a21,b21 and other line with d.c’s 354,354,−654 is 900 then a pair of possible values of ‘a’ and ‘b’ respectively are
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a
-1, 4
b
4, 2
c
4, 1
d
-4, -2
answer is C.
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Detailed Solution
−2212+a212+b212=1(∵l2+m2+n2=1) 4+a2+b2=21 ⇒a2+b2=17.......(1)Angle between the given lines is 900⇒−221354+a21354+b21−654=0−6+3a−6b=0⇒3a−6b=6⇒a−2b=2.....(2)Solving (1) & (2), we get a possible solution given by a=4:b=1
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