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Analytic Geometry
A 4kg ball is propelled off a track with a force 200N. The force of gravity on the ball is 40N. Determine the resultant force of the ball.
Analytic Geometry
Write an equation for the circle with centre (0,0) if the point A(6,2) lies on the circle
Analytic Geometry
Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 30° and 120°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Analytic Geometry
9.Let A, B, C be the points (2,3)(3,−2) and (−1,4)
. The length of AB yields_____
a.square root of 26
b.square root of 27
c.square root of 23
d.square root of 35
10.____ is defined as the ratio of the vertical distance the line rises or falls to the horizontal distance.
a.Gradient of a line
b.Gradient of a helix
c.Gradient of a circle
d.None of the options
. The length of AB yields_____
a.square root of 26
b.square root of 27
c.square root of 23
d.square root of 35
10.____ is defined as the ratio of the vertical distance the line rises or falls to the horizontal distance.
a.Gradient of a line
b.Gradient of a helix
c.Gradient of a circle
d.None of the options
Analytic Geometry
7.In Cartesian Coordinates, the coordinates are given by the position
a.of a point in a plane
b.of a point in a circle
c.of a point in a helix
d.of a point in a rhombus
8.The coordinates of the midpoint of a line segment is
a.the average of the coordinates of the endpoints
b.the sum of the coordinates of the endpoints
c.the product of the coordinates of the endpoints
d.None of the options
a.of a point in a plane
b.of a point in a circle
c.of a point in a helix
d.of a point in a rhombus
8.The coordinates of the midpoint of a line segment is
a.the average of the coordinates of the endpoints
b.the sum of the coordinates of the endpoints
c.the product of the coordinates of the endpoints
d.None of the options
Analytic Geometry
5.The Locus of points at a distance of 3 from the point (0, 0) is given by the equation…
a.x^2+y^2=−9
b.x^2-y^2=9
c.x^2+y^2=9
d.−x^2+y^2=−9
6.If A is (3, 6) and B is (4, 8). Find the coordinate of the midpoint of AB.
a.[3 1/2,−7]
b.[−3 1/2,7]
c.[−3 1/2,−7]
d.[3 1/2,7]
a.x^2+y^2=−9
b.x^2-y^2=9
c.x^2+y^2=9
d.−x^2+y^2=−9
6.If A is (3, 6) and B is (4, 8). Find the coordinate of the midpoint of AB.
a.[3 1/2,−7]
b.[−3 1/2,7]
c.[−3 1/2,−7]
d.[3 1/2,7]
Analytic Geometry
The equations 2x^2+y^2+3z^2+4x+4y+18z+34=0, 2x^2-y^2=4y-4z-4x represent a real conic.
Whether the statement is true or false.
Give reasons for your answer.
Whether the statement is true or false.
Give reasons for your answer.
Analytic Geometry
Which of the following statements are true and which are false? Give reasons for your
answer.
i) The equation r = acos(theta+alpha)+bsin(theta +alpha) represents a circle.
ii) The direction ratios of the line x-5 = 5-y; z = 5 are 1;1;5:
iii) The intersection of a plane and a cone can be a pair of lines.
answer.
i) The equation r = acos(theta+alpha)+bsin(theta +alpha) represents a circle.
ii) The direction ratios of the line x-5 = 5-y; z = 5 are 1;1;5:
iii) The intersection of a plane and a cone can be a pair of lines.
Analytic Geometry
1.Find the equation of the normal to the parabola y^2+4x=0 at the point where the line y=x+c touches it. Q.(2) Identify and trace the conic x^2-2xy+y^2-3x+2y+3=0.
Analytic Geometry
Find the equations of the spheres which pass through the circle x^2+y^2+z^2=9, 2x+2y-7=0 and the touch the plane x-y+z+3=0
