The angle between the pair of straight lines x 2 + 4 y 2 − 7 x y = 0 , is Options: A . &nbsp t a n − 1 1 3 B . &nbsp t a n − 1 3 C . &nbsp t a n − 1 √ 33 5 D . &nbsp t a n − 1 5 √ 33

Answer: Option C : C tan θ = 2 √ h 2 − a b a + b θ = t a n − 1 2 √ 49 4 − 4 5 = t a n − 1 √ 33 5 .

The angle between the pair of straight lines x2+4y2−7xy=0, is

Question

The angle between the pair of straight lines $x^{2} + 4 y^{2} - 7 x y = 0,$ is

Options:

A .

t a n^{- 1} \frac{1}{3}

B .

t a n^{- 1} 3

C .

t a n^{- 1} \frac{\sqrt{33}}{5}

D .

t a n^{- 1} \frac{5}{\sqrt{33}}

Answer: Option C
:
C

$tan θ = \frac{2 \sqrt{h^{2} - a b}}{a + b}$
$θ = t a n^{- 1} \frac{2 \sqrt{\frac{49}{4} - 4}}{5} = t a n^{- 1} \frac{\sqrt{33}}{5}$ .

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