Question

When you draw without lifting your pencil or pen on a paper you get?
A. Plane curve
B. Plane shadow
C. 3-dimension
D. Line

Answer 1

Hint: We write definition and rough way of drawing each of the terms given in the options. Verify which of the figures can be drawn without lifting your pen or pencil.

Complete step by step answer:
We write the meanings of each of the following terms.
Plane curve:
Plane curve means a curve (not a straight line) that lies in the plane and can be closed or open.
A curve can be drawn without lifting a pen or pencil as we are joining different points that satisfy the curve.
Plane shadow:
Plane shadow means shadow of any figure; since shadow is a 3-dimensional figure then it cannot be drawn without lifting a pen or a pencil.
3-dimension:
A 3-dimensional figure is a figure that exists in a 3 dimensional plane, a figure having three dimensions i.e. length, breadth and height. Since a 3-dimensional figure has 3 dimensions so we cannot draw a 3-dimensional figure without lifting a pen or a pencil.
Line:
A line is a collection of points that are very close to each other. A line can be straight or curve, it can be plane or dotted. If a line is plain then we can draw it without lifting the pen or pencil but if it is dotted then we cannot draw it without lifting the pen or pencil.
From the above definitions we can say that when we draw without lifting your pen or pencil on a paper we can get a curve and a plane line.

\[\therefore \]Correct options are A and D.

Note: Many students make the mistake of assuming the quadrilateral formed inside with altitudes and parallel sides as a square which is wrong, keep in mind we are not given that the altitude forms a square. Students are likely to make mistakes while applying Pythagoras theorem as many students write any side on any side of the equation, keep in mind the hypotenuse (largest side) is on one side of the equation and base and perpendicular are on the other side of the equation.