Introduction to Curves

Q.

A closed curve that is not simple closed?

Q.

A polygon is a simple closed curve made up of only$\_\_\_\_\_\_\_\_\_.$

Q. Which one of these is a simple closed curve?

1. 
   
2. 
   
3. 
   
4. 
   

Q.

Is The Eiffel Tower A Parabola?

Q. The part of a line that connects two points is called a .

1. line segment
2. ray
3. line

Q.

Draw rough diagrams to illustrate the following:

(i) Open curve

(ii) Closed curve

Q. Which of the following figures represent a polygon?

1. 
2. 
3. 
4. 

Q.

Is a simple closed curve?

Q. A circle is made up of triangle(s).

1. 1
2. 3
3. infinite

Q.

Classify the following curves as (i) Open or (ii) Closed.

Q.

Which of the following are closed curves? Which of them are simple closed?

Q. The closed curve that crosses _____ is not a simple closed curve.

1. itself
2. multiple points
3. twice
4. All of the above

Q.

Every polygon is a simple ______ curve.

1. Closed

2. Open

3. Convex

4. Concave

Q.

Which polygon has most number of diagonals

Q. Which figure given below is a closed curve as well as a polygon?

1. 
2. 
3. 
4. 

Q.

Classify the curve as open or closed curve

Q. Which of the following is/are an example(s) of simple closed curve?

1. Rectangle
2. Circle
3. Square
4. All of the above

Q.

A quadrilateral is a polygon having sides.

1. 3

2. 5

3. 4

4. 6

Q. In the given figure, ABCD is a cyclic quadrilateral in which $\angle BAD={120}^{\circ }$. Find $\angle BCD$.

1. ${240}^{\circ }$
2. ${60}^{\circ }$
3. ${120}^{\circ }$
4. ${180}^{\circ }$

Q.

Kite and trapezium are

1. simple open curves

2. polygons

3. made up of arcs

4. parallelograms

Q.

Among the following properties, which are not true for a polygon?

1. Curve

2. Simple

3. Open

4. Made of line segments

Q. Two circles intersect in A and B. Quadrilaterals PCBA and ABDE are inscribed in these circles such that PAE and CBD are line segments. If $\angle P={95}^{\circ }and\angle C={40}^{\circ }$. Find the value of $\angle DEA$.

1. ${65}^{\circ }$
2. ${95}^{\circ }$
3. ${105}^{\circ }$
4. ${85}^{\circ }$
   

Q. Question 1 (a)
Given here are some figures:



Classify each of them on the basis of the following:
(a) Simple curve

Q. Two circles intersect in A and B. Quadrilaterals PCBA and ABDE are inscribed in these circles such that PAE and CBD are line segments. If $\angle P={95}^{\circ }and\angle C={40}^{\circ }$. Find the value of $\angle DEA$.

1. ${65}^{\circ }$
2. ${105}^{\circ }$
3. ${95}^{\circ }$
4. ${85}^{\circ }$
   

Q. State whether True or False:

1. True
2. False
3. Ambiguous
4. Data insufficient

Q.

ABCD is a quadrilateral such that $\angle$ABC+$\angle$ADC =${180}^{\circ }$. Inside the quadrilateral :

Statement 1: The circumcircle of $\Delta$ABC intersects diagonal BD at D.

Statement 2: The circumcircle of $\Delta$ABC intersects BD at $D^{{}^{\prime }}$inside the quadrilateral.

Statement 3: The circumcircle of $\Delta$ABC intersects BD at $D^{{}^{\prime }}$ outside the quadrilateral.

Statement 4: The circumcircle of $\Delta$ABC does not intersect BD at all.

Statement 5: ABCD is called cyclic quadrilateral.

1. One of the statement 2 or statement 3 can be true

2. Only statement 4 is true

3. Only statement 1 is true

4. Statement 1 and statement 5 are true

Q. Is it possible to have a polygon whose sum of interior angles is ${540}^{\circ }$?

1. Yes
2. No
3. Ambiguous
4. Data insufficient

Q.

Draw a rough diagram to illustrate the closed curve:-

Q. In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If $x+y={80}^o$, how many sides does the polygon have?

1. Nine
2. Ten
3. Seven
4. Six
5. Eight

Q.

Find the value of 'x' from the figure.

1. 135°

2. 165°

3. 90°

4. 95°