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Which of the following statement is an axiom:
The first statement is an axiom and does not require proof.
Which of the following statement is wrong?
All the other statements i.e. (a) (b) and (c) are Euclid’s postulates except option (d).
The number of planes passing through three noncollinear points is:
The line is formed using 3 non–collinear points.
∴ 3 noncollinear points will form 1 plane.
How many lines can pass through 2 given points?
Through 2 given points, 1 and only one line can be drawn.
If 4 lines pass through a point these are said to be
If three or more lines pass through the same point then the point is called point of concurrence of the given lines.
Two circles are said to be congruent, if and only if:
Two circles are congruent if they have equal radii.
Two lines can intersect in how many points (maximum)?
Two lines can intersect in one and only one point.
A point has no size but we show it by a dot to know where a point is. A point has no length, no width, and has no height. A point only has its position. It means a point has no dimensions or has zero dimensions.
A surface has a curved boundary and a curve contains infinite points.
If an angle is such that, its complementary angle is 20°, the n angle is
Let the measure of angle be x°
Then, its complementary angle will be
(90° – x°) = 20°
⇒ x = 70°
The measure of an angle if the five times its complement is 12° less than twice its supplement
Let the measure of angle be x° then, its complementary angle will be 90° – x° supplement = 180°– x°
∴ 5 (90° – x°) = 2 (180° – x°) – 12°
⇒ x = 34°
Boundaries of surfaces and solids are:
Boundary of surface is curved and boundary of solid is surface.
The numbers of lines that can be drawn through 4 distinct points in a plane if none three points are collinear
No. of lines
In problem – 24 number of lines that can be drawn if 3 of the 4 points are collinear will be
No. of lines
Every line segment has one and only one midpoint.
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