All Class 11 Geometry FormulasPythagoras Theorem Formulac2 = a2 + b2Area of a Triangle½ × b × hPerimeter of Trianglea + b + cArea of a Squarea2Perimeter of a Square4aArea of a Rectanglel × bPerimeter of a Rectangle2 (l + b)Area of a Circleπ × r2Circumference of a Circle2πrSurface Area of a Cube6a2Volume of a Cubea3Curved Surface Area of a Cylinder2πrhVolume of a Cylinderπr2hCurved Surface Area of a Coneπr [r + √(h2+r2)], i.e. πrlVolume of a Cone⅓ πr2hSurface Area of a Sphere4πr2Volume of a Sphere4/3 πr3Distance Between Two Points in 3D√[(x2 − x1)2 + (y2 − y1)2 + (z2 – z1)2]Distance of a Point From Origin√(x2 + y2 + z2)Midpoint of a Line Segment[½ (x1 + x2), ½(y1 + y2), ½(z1 + z2)]Coordinates of the Centroid of a Triangle[⅓ (x1
In three-dimensional geometry, the x-axis, y-axis and z-axis are the three coordinate axes of a rectangular Cartesian coordinate system. These lines are three mutually perpendicular lines. The values of the coordinate axes determine the location of the point in the coordinate plane.
Coordinate Planes --
The three planes (XY, YZ and ZX) determined by the pair of axes are the coordinate planes. All three planes divide the space into eight parts, called octants.
Coordinate of a Point in Space--
In three-dimensional geometry, the coordinates of a point P is always written in the form of P(x, y, z), where x, y and z are the distances of the point, from the YZ, ZX and XY-planes.
>> The coordinates of any point at the origin is (0,0,0)
>> The coordinates of any point on the x-axis is in the form of (x,0,0)
>> The coordinates of any point on the y-axis is in the form of (0,y,0)
>> The coordinates of any point on the z-axis is in the form of (0,0,z)
>> The coordinates of any point on the XY-plane is in the form (x, y, 0)
>> The coordinates of any point on the YZ-plane is in the form (0, y, z)
>> The coordinates of any point on the ZX-plane is in the form (x, 0, z)
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Answer:
All Class 11 Geometry FormulasPythagoras Theorem Formulac2 = a2 + b2Area of a Triangle½ × b × hPerimeter of Trianglea + b + cArea of a Squarea2Perimeter of a Square4aArea of a Rectanglel × bPerimeter of a Rectangle2 (l + b)Area of a Circleπ × r2Circumference of a Circle2πrSurface Area of a Cube6a2Volume of a Cubea3Curved Surface Area of a Cylinder2πrhVolume of a Cylinderπr2hCurved Surface Area of a Coneπr [r + √(h2+r2)], i.e. πrlVolume of a Cone⅓ πr2hSurface Area of a Sphere4πr2Volume of a Sphere4/3 πr3Distance Between Two Points in 3D√[(x2 − x1)2 + (y2 − y1)2 + (z2 – z1)2]Distance of a Point From Origin√(x2 + y2 + z2)Midpoint of a Line Segment[½ (x1 + x2), ½(y1 + y2), ½(z1 + z2)]Coordinates of the Centroid of a Triangle[⅓ (x1
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Coordinate Axes --
In three-dimensional geometry, the x-axis, y-axis and z-axis are the three coordinate axes of a rectangular Cartesian coordinate system. These lines are three mutually perpendicular lines. The values of the coordinate axes determine the location of the point in the coordinate plane.
Coordinate Planes --
The three planes (XY, YZ and ZX) determined by the pair of axes are the coordinate planes. All three planes divide the space into eight parts, called octants.
Coordinate of a Point in Space --
In three-dimensional geometry, the coordinates of a point P is always written in the form of P(x, y, z), where x, y and z are the distances of the point, from the YZ, ZX and XY-planes.
>> The coordinates of any point at the origin is (0,0,0)
>> The coordinates of any point on the x-axis is in the form of (x,0,0)
>> The coordinates of any point on the y-axis is in the form of (0,y,0)
>> The coordinates of any point on the z-axis is in the form of (0,0,z)
>> The coordinates of any point on the XY-plane is in the form (x, y, 0)
>> The coordinates of any point on the YZ-plane is in the form (0, y, z)
>> The coordinates of any point on the ZX-plane is in the form (x, 0, z)