Euclidean Geometry

Q. The universal truths that are very trivial and self-evident are called and postulates.

1. Axioms
2. Theorem
3. Identities

Q. The author of the book the 'Elements' is

1. Pythagoras
2. Aryabhata
3. Euclid
4. Aristotle

Q.

How many theorems did Euclid give in his book - Elements?

1. 2

2. 3

3. 4

4. 5

Q. The statement - ' every even number greater than 2 is a sum of two primes' is a proven property.

1. True
2. False

Q. What is the value of 'p' (in degrees) in the given figure?

1. 80

Q.

A line segment with endpoints A and B and a circle with centre at O lie on a plane as shown. AB is not the chord of the circle with centre O?

1. True

2. False

Q. What is Aristotle fallancy?

Q.

Only ________ element(s) is/are enough to construct a rhombus.

1. One

2. Four

3. Two

4. Three

Q.

Who is regarded as the father of Geometry?

1. Pythagoras
2. Archimedes
3. Euclid
4. Thales

Q. This section contains 1 Assertion-Reason type question, which has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।

A : PQRSTUV is a regular heptagon. If the bisector of ∠P meets the side ST at X, then PX ⊥ ST.
A : PQRSTUV एक सम सप्तभुज है। यदि ∠P का समद्विभाजक भुजा ST से X पर मिलती है, तब PX ⊥ ST है

R : All the angles of a regular pentagon are equal.
R : एक सम पंचभुज के सभी कोण समान होते हैं।

1. Both (A) and (R) are true and (R) is the correct explanation of (A)
   
   (A) तथा (R) दोनों सही हैं तथा (R), (A) का सही स्पष्टीकरण है
2. Both (A) and (R) are true but (R) is not the correct explanation of (A)
   
   (A) तथा (R) दोनों सही हैं लेकिन (R), (A) का सही स्पष्टीकरण नहीं है
3. (A) is true but (R) is false
   
   (A) सही है लेकिन (R) गलत है
4. (A) is false but (R) is true
   
   (A) गलत है लेकिन (R) सही है

Q. Which of the following are components of a cartesian plane?

1. Quadrant II
2. X-axis
3. Quadrant III
4. Origin
5. geometry
6. Quadrant I
7. Y-axis
8. Pie chart
9. Solid shape

Q. Which of the following are components of a cartesian plane?

1. Quadrant II
2. Quadrant I
3. Y-axis
4. Pie chart
5. Quadrant III
6. geometry
7. Solid shape
8. Origin
9. X-axis

Q. Solve the following equation.
${\log }_{\sqrt{5}}(4x^x-6)-{\log }_{\sqrt{5}}(2^x-2)=2$

Q.

Only ________ element(s) is/are enough to construct a rhombus.

1. Two

2. Three

3. Four

4. One

Q. If in $\Delta XYZ,XY=6.5\text{units},\angle XYZ={55}^{\circ }$, and $\angle YXZ={70}^{\circ }$, then which of the following options will be the length of YZ?

1. 7.5