A data sufficiency question in coordinate geometryDoes the line x + y = 6 intersect or touch circle C with radius 5 units?1. Center of the circle lies in the third quadrant.2. Point (-4, -4) does not lie inside the circle.Correct Answer is Choice E. The data is INSUFFICIENT.Explanatory AnswerThe line will intersect or touch the circle if the distance between the center of the … [Read more...] about Coordinate Geometry DS – Lines and Circles
GMAT Geometry, Solid Geometry, Coordinate Geometry
DS Coordinate Geometry : Quadrants
Data Sufficiency in Coordinate Geometry.Here is an interesting question on intercepts and points of intersection of two perpendicular lines.QuestionLine L is perpendicular to line K whose equation is 3y = 4x + 12; Lines L and K intersect at (p, q).Is p + q > 0?1. x intercept of Line L is less that that of Line K2. y intercept of Line L is less than that of Line KCorrect … [Read more...] about DS Coordinate Geometry : Quadrants
Coordinate Geometry DS – Slope of Lines
Here is a data sufficiency question from Coordinate geometry. Is the slope 'm' of the line y = mx + c positive? 1. The x and y intercepts are both negative. 2. The line passes through the first quadrant.Correct Answer : Choice A. Statement 1 alone is sufficient.Explanatory AnswerPositive Sloping Lines : The x and y intercepts of the line are of opposite signs. If the x … [Read more...] about Coordinate Geometry DS – Slope of Lines
Geometry Triangles Data Sufficiency
Here is a DS question on Geometry on basic properties of triangles.Is triangle ABC with sides a, b and c acute angled?1. Triangle with sides a2, b2, c2 has an area of 140 sq cms. 2. Median AD to side BC is equal to altitude AE to side BC.The correct answer is Choice A. Statement 1 alone is sufficient, while statement 2 is not. Explanation From the information … [Read more...] about Geometry Triangles Data Sufficiency
GMAT Geometry DS
DirectionsThis data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in a leap year or … [Read more...] about GMAT Geometry DS