First slide

Equation of line in Straight lines

Question

If the lines y = – 3x + 4, ay = x + 10 and 2y + bx + 9 = 0 represent three consecutive sides of a rectangle then ab =

Moderate

A

18
B

-3
C

$\frac{1}{2}$
D

$\frac{- 1}{3}$

Solution

Let the given sides are AB, BC, CD
$A B | | C D \Rightarrow b = 6$
$A B ⊥ B C \Rightarrow a = 3$

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