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

## 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

## GMAT Geometry: Acute Angled Triangles

Geometry concepts such as basic properties of triangles and how to find if a given triangle is a right triangle or an acute angled triangle or an obtuse angled triangle are often tested in GMAT.Here is a question using two basic rules about triangles.QuestionIf 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?(A) 7(B) 12(C) 9(D) … [Read more...] about GMAT Geometry: Acute Angled Triangles

## Number of diagonals in convex polygon : GMAT

Any n-sided convex polygon with more than 3 sides will have n(n-3)/2 diagonals. For instance, let us look at a square. A square has 4 sides and 2 diagonals. Let us apply this formula with n = 4. We get 4(4-3)/2 = 2 diagonals. Here is a question on finding the number of diagonals. If a n-sided convex polygon has 14 diagonals, how many sides does the polygon … [Read more...] about Number of diagonals in convex polygon : GMAT