# Introduction to Curves

## Trending Questions

**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?

**Q.**

Is The Eiffel Tower A Parabola?

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

- line segment
- ray
- line

**Q.**

Draw rough diagrams to illustrate the following:

(i) Open curve

(ii) Closed curve

**Q.**Which of the following figures represent a polygon?

**Q.**

Is a simple closed curve?

**Q.**A circle is made up of

- 1
- 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.

- itself
- multiple points
- twice
- All of the above

**Q.**

Every polygon is a simple ______ curve.

Closed

Open

Convex

Concave

**Q.**

Which polygon has most number of diagonals

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

**Q.**

Classify the curve as open or closed curve

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

- Rectangle
- Circle
- Square
- All of the above

**Q.**

A quadrilateral is a polygon having sides.

3

5

4

6

**Q.**In the given figure, ABCD is a cyclic quadrilateral in which ∠BAD=120∘. Find ∠BCD.

- 240∘
- 60∘
- 120∘
- 180∘

**Q.**

Kite and trapezium are

simple open curves

polygons

made up of arcs

parallelograms

**Q.**

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

Curve

Simple

Open

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 ∠P=95∘ and ∠C=40∘. Find the value of ∠DEA.

- 65∘
- 95∘
- 105∘
- 85∘

**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 ∠P=95∘ and ∠C=40∘. Find the value of ∠DEA.

- 65∘
- 105∘
- 95∘
- 85∘

**Q.**State whether True or False:

- True
- False
- Ambiguous
- Data insufficient

**Q.**

ABCD is a quadrilateral such that ∠ABC+∠ADC =180∘. Inside the quadrilateral :

Statement 1: The circumcircle of ΔABC intersects diagonal BD at D.

Statement 2: The circumcircle of ΔABC intersects BD at D′inside the quadrilateral.

Statement 3: The circumcircle of ΔABC intersects BD at D′ outside the quadrilateral.

Statement 4: The circumcircle of ΔABC does not intersect BD at all.

Statement 5: ABCD is called cyclic quadrilateral.

One of the statement 2 or statement 3 can be true

Only statement 4 is true

Only statement 1 is true

Statement 1 and statement 5 are true

**Q.**Is it possible to have a polygon whose sum of interior angles is 540∘?

- Yes
- No
- Ambiguous
- 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=80o, how many sides does the polygon have?

- Nine
- Ten
- Seven
- Six
- Eight

**Q.**

Find the value of 'x' from the figure.

135°

165°

90°

95°