Straight LineHardBloom L3
Question
What is the $y$-intercept of the line that is parallel to $y = 3x$, and which bisects the area of a rectangle with corners at $(0,0)(4,0),(4,2)$ and $(0,2)$ ?
Options
A.$(0, - 7)$
B.$(0, - 6)$
C.$(0, - 5)$
D.$(0, - 4)$
Solution
Sol. [Key Concept: A line parallel to $y = 3x$ that bisects a rectangle passes through its centre ⇒ read the $y$-intercept.]
Line will pass through $(2,1)$
⇒ Eqn. of line is $y - 3x = - 5$
$\therefore\ y$-intercept is $(0, - 5)$
Create a free account to view solution
View Solution FreeMore Straight Line Questions
Let PS be the median of the triangle with vertices P (2, 2), Q (6, -1) and R (7, 3), The equa tion of the line passing t...The straight lines ax + by + c = 0 where 3a + 2b + 4c = 0 are concurrent at the point...The equations of lines passing through point ( 2,3 ) and having an intercept of length 2 units between the lines $2x + y...A man starts from the point $P( - 3,4)$ and reaches point $Q(0,1)$ touching $x$ axis at $R$ such that $PR + RQ$ is minim...The point P (a, b) lies on the straight line 3x + 2y = 13 and the point Q (b, a) lies on the straight line 4x − y ...