First slide

Pair of straight lines

Question

The angle between the pair of lines $5 x^{2} + 4 xy - 5 y^{2} = 0$ is

Easy

A

$\frac{π}{2}$
B

$\frac{π}{3}$
C

$π$
D

$\frac{π}{4}$

Solution

The condition that two lines represented by the equation ${ax}^{2} + 2 hxy + {by}^{2} = 0$ are to be perpendicular is $a + b = 0$
For the equation $5 x^{2} + 4 xy - 5 y^{2} = 0$ , the values $a = 5, b = - 5$
Since, $a + b = 0$ , the angle between the lines is $\frac{π}{2}$

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