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Q.

If (x,3,5) and  (2,−1,2) are d.r’s of two lines and angle between the lines is 450 then the values of x are

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a

-4,-52

b

3, 42

c

4, 52

d

-3, 32

answer is C.

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Detailed Solution

cosθ=a1a2+b1b2+c1c2a12+b12+c12a22+b22+c22 12=2x+7334+x2⇒x2−56x+208=0⇒x=4,52
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If (x,3,5) and  (2,−1,2) are d.r’s of two lines and angle between the lines is 450 then the values of x are