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 … [Read more...]

## 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 … [Read more...]

## 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 … [Read more...]

## GMAT Coordinate Geometry

Here is a question in coordinate geometry. The primary idea tested by this question is one's understanding about equations of straight lines. Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from … [Read more...]

## GMAT DS : Geometry, Coordinate Geometry

Here is a data sufficiency question. It is a question on slopes of lines and tests basic concepts about lines in geometry and coordinate geometry.QuestionAre lines p (with slope m) and q (with slope n) perpendicular to each other?1. m + 2 = n2. m + n = 0Correct Answer: Choice C. BOTH statements (1) … [Read more...]