Bunuel
What is the area bounded by the two lines and the co-ordinates axes in the first quadrant ?
(1) The lines intersect at a point which also lies on the lines 3x – 4y = 1 and 7x – 8y = 5.
(2) The lines are perpendicular and one of them intersects the Y-axis at an intercept of 4.
Question: Area bounded by axes and two lines=?Statement 1: The lines intersect at a point which also lies on the lines 3x – 4y = 1 and 7x – 8y = 5.Intersection of the two given lines i.e. x = 3 and y = 2
But there are infinite many lines that pass through this point hence
NOT SUFFICIENT
Statement 2: The lines are perpendicular and one of them intersects the Y-axis at an intercept of 4There are again infinite many lines that are perpendicular and one of them makes y-intercept of 4 units hence
NOT SUFFICIENT
Combining the two statementsOne of the other two lines has y-intercept 4 and passes through x = 3 and y = 2
i.e. equation of line is y = (-2/3)x + 4
and there is only one line that is perpendicular to the obtained line and passes through (3,2) hence we get a certain quadrilateral
SUFFICIENT
Answer: Option C