Maths-
General
Easy
Question
Through any three points not on the same line,
- there are exactly two planes
- there is exactly one plane
- there’s no plane
The correct answer is: there is exactly one plane
HINT :- Using any two lines lies the same plane, find the option.
ANS :- Option B
Explanation :-
If the three points do not lie on the same line then they are coplanar. We can say that any two points are co linear so we get 2 lines by connecting them in pairs of two points ,but we know that only 1 plane passes through any two lines.
I. e three points lie on same plane
∴ Option B
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)
Bloom’s category: Understanding
Level: Easy
Name three collinear points.
![](data:image/png;base64,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)
Maths-General
Maths-
A hemisphere has 3 cm radius , find its volume?
A hemisphere has 3 cm radius , find its volume?
Maths-General
Maths-
Bloom’s category: Understanding
Level: Medium
Identify and name three collinear points.
![](data:image/png;base64,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)
Bloom’s category: Understanding
Level: Medium
Identify and name three collinear points.
![](data:image/png;base64,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)
Maths-General
Maths-
A dome of a building is in the form of a hemisphere. The total cost of white washing it from inside, was '1330.56. The rate at which it was white washed is '3 per square metre. Find the volume of the dome approximately
A dome of a building is in the form of a hemisphere. The total cost of white washing it from inside, was '1330.56. The rate at which it was white washed is '3 per square metre. Find the volume of the dome approximately
Maths-General
Maths-
Bloom’s category: Understanding
Level: Medium
Through any three points not on the same line,
Bloom’s category: Understanding
Level: Medium
Through any three points not on the same line,
Maths-General
Maths-
A hemispherical bowl is made of steel of 0.25 cm thickness. The inner radius of the bowl is 5 cm. Find the volume of steel used.
A hemispherical bowl is made of steel of 0.25 cm thickness. The inner radius of the bowl is 5 cm. Find the volume of steel used.
Maths-General
Maths-
Bloom’s category: Understanding
Level: Medium
A plane has ____ dimensions.
Bloom’s category: Understanding
Level: Medium
A plane has ____ dimensions.
Maths-General