alleryThe distance between the points $(a,b)$ and $(-a,-b)$ is:
- $\sqrt{a^2+b^2}$
- $2\sqrt{a^2+b^2}$
- $2(a+b)$
- $0$
Show answer and solution
Correct answer: B. $2\sqrt{a^2+b^2}$
√[(2a)²+(2b)²] = 2√(a²+b²).
GMAT Arithmetic Progression — practice questions — page 2
Explore 87 free Arithmetic Progression questions in GMAT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–60 of 87.
The distance between the points $(a,b)$ and $(-a,-b)$ is:Read the answer and worked solution →The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:Read the answer and worked solution →The distance of the point $(-3,4)$ from the origin is:Read the answer and worked solution →The coordinates of the origin are:Read the answer and worked solution →In which quadrant does the point (−4, 7) lie?Read the answer and worked solution →A point lies on the x-axis when:Read the answer and worked solution →What are the coordinates of the origin?Read the answer and worked solution →Which point lies on the y-axis?Read the answer and worked solution →Identify the quadrant of the point (5, −3).Read the answer and worked solution →Find the distance between (1, 2) and (4, 6).Read the answer and worked solution →Find the distance between (−2, 1) and (3, 5).Read the answer and worked solution →Are the points A(1, 1), B(2, 3), C(3, 5) collinear?Read the answer and worked solution →Determine whether triangle with vertices A(0, 0), B(4, 0), C(0, 3) is right-angled.Read the answer and worked solution →Find x such that the distance from (x, 1) to (2, 3) is √8.Read the answer and worked solution →Find the midpoint of A(2, −3) and B(8, 5).Read the answer and worked solution →Find the point P that divides the segment joining A(1, 2) and B(7, 8) in the ratio 1 : 2.Read the answer and worked solution →The midpoint of segment AB is (4, 5). If A = (2, 3), what is B?Read the answer and worked solution →Find the point dividing the segment joining (4, −1) and (−2, −3) in the ratio 1 : 3.Read the answer and worked solution →The centroid of a triangle with vertices A(1, 1), B(4, 7), C(7, 1) is:Read the answer and worked solution →The distance between two points $P(x_1,y_1)$ and $Q(x_2,y_2)$ isRead the answer and worked solution →The distance of a point $P(x,y)$ from the origin isRead the answer and worked solution →The mid-point of the line segment joining $(x_1,y_1)$ and $(x_2,y_2)$ isRead the answer and worked solution →The distance between the points $(0,0)$ and $(3,4)$ isRead the answer and worked solution →The distance between the points $(1,2)$ and $(4,6)$ isRead the answer and worked solution →The mid-point of the segment joining $(2,3)$ and $(4,7)$ isRead the answer and worked solution →The distance of the point $(5,12)$ from the origin isRead the answer and worked solution →The point that divides the segment joining $(1,2)$ and $(3,4)$ in the ratio $1:1$ isRead the answer and worked solution →The area of the triangle with vertices $(0,0)$, $(4,0)$ and $(0,3)$ isRead the answer and worked solution →Three points are collinear if the area of the triangle formed by them isRead the answer and worked solution →The distance between the points $(2,3)$ and $(2,8)$ isRead the answer and worked solution →
Worked practice questions
The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:
- (3, 5)
- (5, 9)
- (2, 3)
- (2.5, 4)
Show answer and solution
Correct answer: C. (2, 3)
((1·4+2·1)/3, (1·7+2·1)/3) = (6/3, 9/3) = (2,3).
The distance of the point $(-3,4)$ from the origin is:
- 7
- 1
- √7
- 5
Show answer and solution
Correct answer: D. 5
√[(−3)²+4²] = √25 = 5.
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