following represents the nidpoint formula? A. M= (, ) B. M = (, ) C. d = (x2 – x1)² + (ý2 – y1)² D. d = /(x1 + x2)² – Vi + y2)² 2 30. Which of the following represents the distance formula? A. M= (, ) 2 В. М 2 C. d= /(x2 – x1)² + (y2 – y1)² D. d = (x, + x2)² – (Vn + y2)² _31. If A is the midpoint of B and D, what is the coordinate of A if B(-3, 8) and D(11,-12)? A. (-4, 2) B. (4,-2) C. (4, 2) D. (-4, -2) 32. Point O is the midpoint of GD, whish of the following NOT TRUE about the distances among, G, O, and D? A. GD =DG B. GO = OD C. GD = OD D. OD = DO _33. A map drawn on a grind where 1 unit is equivalent to 1 km. On the same map, the coordinates of the point corresponding to Calinan Proper is (5, -9) while Barangay Dacudao is (13, -3). How far is Calinan Proper from Barangay Dacudao? C. 10 km D. 11 km A. 8 Km B. 9 km 34. The distance between two points on a grid is 15 units. If one of the points has a coordinate of (-2, 10) and the other point has a y-coordinate of -2, what is the x-coordinate of the second point? A. 11 В. 9 C. 7 D. -7 35. Which of the following is the equation of the circle with a center at the origin and a radius of r units? A x² +y? = r? B. (x - h)² + y² == r? C. x² + (y – k)² = r? D. (x - h)? + (y – k)² = r? 36. Which of the following is the center of a circle whose equation is (x – 2)² + (y + 7)² = 25 A. (2, -7) B. (2, 7) C. (-2, 7) D. (-2, -7)
following represents the nidpoint formula? A. M= (, ) B. M = (, ) C. d = (x2 – x1)² + (ý2 – y1)² D. d = /(x1 + x2)² – Vi + y2)² 2 30. Which of the following represents the distance formula? A. M= (, ) 2 В. М 2 C. d= /(x2 – x1)² + (y2 – y1)² D. d = (x, + x2)² – (Vn + y2)² _31. If A is the midpoint of B and D, what is the coordinate of A if B(-3, 8) and D(11,-12)? A. (-4, 2) B. (4,-2) C. (4, 2) D. (-4, -2) 32. Point O is the midpoint of GD, whish of the following NOT TRUE about the distances among, G, O, and D? A. GD =DG B. GO = OD C. GD = OD D. OD = DO _33. A map drawn on a grind where 1 unit is equivalent to 1 km. On the same map, the coordinates of the point corresponding to Calinan Proper is (5, -9) while Barangay Dacudao is (13, -3). How far is Calinan Proper from Barangay Dacudao? C. 10 km D. 11 km A. 8 Km B. 9 km 34. The distance between two points on a grid is 15 units. If one of the points has a coordinate of (-2, 10) and the other point has a y-coordinate of -2, what is the x-coordinate of the second point? A. 11 В. 9 C. 7 D. -7 35. Which of the following is the equation of the circle with a center at the origin and a radius of r units? A x² +y? = r? B. (x - h)² + y² == r? C. x² + (y – k)² = r? D. (x - h)? + (y – k)² = r? 36. Which of the following is the center of a circle whose equation is (x – 2)² + (y + 7)² = 25 A. (2, -7) B. (2, 7) C. (-2, 7) D. (-2, -7)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:vhich of the following represents the
\nidpoint formula?
A M= (,)
(,)
C. d = (x2 – x1)² + (y2 – yı)²
D. d = (x1 + x2)² – (91 + y2)²
%3D
2
B. M =
2
30. Which of the following represents the
distance formula?
A. M = (, )
2
B. M = (2-X1 Y½ – Yı\
2
|(x2 – x,)² + (y2 – y1)²
D. d = (x, + x2)² – (ý1 + Yz)²
C. d=
31. If A is the midpoint of B and D, what is the
coordinate of A if B(-3, 8) and D(11,-12)?
A. (-4, 2)
B. (4,-2)
C. (4, 2)
D. (-4, -2)
_32. Point O is the midpoint of GD, whish of the
following NOT TRUE about the distances among, G,
O, and D?
A. GD =DG
B. GO = OD
C. GD = OD
D. OD = DO
33. A map drawn on a grind where 1 unit is
equivalent to 1 km. On the same map, the
coordinates of the point corresponding to Calinan
Proper is (5, -9) while Barangay Dacudao is
(13, -3). How far is Calinan Proper from Barangay
Dacudao?
A. 8 Km
B. 9 km
C. 10 km
D. 11 km
_34. The distance between two points on a grid is
15 units. If one of the points has a coordinate of
(-2, 10) and the other point has a y-coordinate of
-2, what is the x-coordinate of the second point?
A. 11
В. 9
C. 7
D. -7
35. Which of the following is the equation of the
circle with a center at the origin and a radius of r
units?
A. x? +y? = r?
B. (x - h)² + y² = r?
C. x² + (y – k)? = r?
D. (x - h)² + (y – k)² = r²
36. Which of the following is the center of a
circle whose equation is (x – 2)² + (y + 7)² = 25
A. (2, -7)
В. (2, 7)
C. (-2, 7)
D. (-2, -7)
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