Statement 1: The point P(x, y) is at a distance of 6 unit from origin, then P lies in the first quadrant.
Statement 2: Point P can lie in any quadrant.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.

Question

Statement 1: The point P(x, y) is at a distance of 6 unit from origin, then P lies in the first quadrant.

Statement 2: Point P can lie in any quadrant.

Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.

KnowledgeBoat · Accepted Answer

Given, the point P(x, y) is at a distance of 6 unit from origin. By distance formula, Distance between two points = The above equation defines a circle centered at the origin with radius 6. That circle covers all four quadrants, so P can lie anywhere on that circle, not necessarily in the first quadrant. ∴ Statement 1 is false, and statement 2 is true. Hence, option 4 is the correct option.

Mathematics

Distance Formula

Related Questions

AB (= 10 unit) is diameter of a circle with center at point P = (x, 0) and point B = (0, y). The relation between x and y is:
x + y = 10
x + y = 25
x² + y² = 5
x² + y² = 25

Mathematics

Distance Formula

Related Questions

AB (= 10 unit) is diameter of a circle with center at point P = (x, 0) and point B = (0, y). The relation between x and y is:x + y = 10x + y = 25x2 + y2 = 5x2 + y2 = 25

AB (= 10 unit) is diameter of a circle with center at point P = (x, 0) and point B = (0, y). The relation between x and y is:
x + y = 10
x + y = 25
x² + y² = 5
x² + y² = 25