Q.

The angle between the pair of lines whose equation is 4x2+10xy+my2+5x+10y=0 is

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a

tan−1(3/8)

b

tan−1(3/4)

c

tan−1{225−4m/(m+4)}, m∈R

d

None of these

answer is B.

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Detailed Solution

Being a pair of lines, abc+2fgh−af2−bg2−ch2=0.This gives m=4, now, find the angles between the lines
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The angle between the pair of lines whose equation is 4x2+10xy+my2+5x+10y=0 is