The Human Eye and the Colourful World
Chemical Reactions and Equations
Control and Coordination
Metal and Non-Metals
How do Organisms Reproduce?
Magnetic Effects of Electric Current
Heredity and Evolution
Our Environment
Life Processes
Carbon and Its Compounds
Periodic Classification of Elements
Light – Reflection and Refraction
Electricity
Acids Bases and Salts
Sources of Energy
Sustainable Management of Natural Resources
Science

Statistics
Real Numbers
Some Applications of Trigonometry
Introduction to Trigonometry
Probability
Constructions
Areas Related to Circles
Circles
Arithmetic Progressions
Pair of Linear Equations in Two Variables
Quadratic Equations
Coordinate Geometry
Surface Areas and Volumes
Polynomials
Triangles
Mathematics

Constructions

**Correct Marks**
1

**Incorrectly Marks**
0

Q 1. To divide a line segment {tex} A B {/tex} in the ratio {tex} 5: 7 , {/tex} first a ray {tex} A X {/tex} is drawn so that {tex} \angle B A X {/tex} is an acute angle and then at equal distances points are marked on the ray {tex} A X {/tex} such that the minimum number of these points is:

8

10

11

12

**Correct Marks**
1

**Incorrectly Marks**
0

Q 2. To divide a line segment {tex} A B {/tex} in ratio {tex} 4: 7 , {/tex} a ray {tex} A X {/tex} is drawn first such that {tex} \angle B A X {/tex} is an acute angle and then points {tex} A _ { 1 } , A _ { 2 } , A _ { 3 } , \ldots {/tex} are located at equal distances on the ray {tex} A X {/tex} and the point {tex} B {/tex} is joined to :

{tex} A _ { 12 } {/tex}

{tex} A _ { 11 } {/tex}

{tex} A _ { 10 } {/tex}

{tex} A _ { 9 } {/tex}

**Correct Marks**
1

**Incorrectly Marks**
0

Q 3. To divide a line segment {tex} A B {/tex} in the ratio 5: 6 draw a ray {tex} A X {/tex} such that {tex} \angle B A X {/tex} is an acute angle, then draw a ray {tex} B Y {/tex} parallel to {tex} A X {/tex}, and the points, {tex} A _ { 1 } {/tex} {tex} A _ { 2 } \ A _ { 3 } , \ldots {/tex} and {tex} B _ { 1 } \ B _ { 2 } \ , B _ { 3 } , \ldots {/tex} are located at equal distances on ray {tex} A X {/tex} and {tex} B Y , {/tex} respectively. Then the points joined are

{tex} A _ { 5 } {/tex} and {tex} B _ { 6 } {/tex}

{tex} A _ { 6 } {/tex} and {tex} B _ { 5 } {/tex}

{tex} A _ { 4 } {/tex} and {tex} B _ { 5 } {/tex}

{tex} A _ { 5 } {/tex} and {tex} B _ { 4 } {/tex}

**Correct Marks**
1

**Incorrectly Marks**
0

Q 4. To draw a pair of tangents to a circle which are inclined to each other at an angle of {tex} 60 ^ { \circ } , {/tex} it is required to draw tangents at end points of those two radii of the circle, the angle between them should be:

{tex} 135 ^ { \circ } {/tex}

{tex} 90 ^ { \circ } {/tex}

{tex} 60 ^ { \circ } {/tex}

{tex} 120 ^ { \circ } {/tex}

**Correct Marks**
1

**Incorrectly Marks**
0

Q 5. To construct a triangle similar to a given {tex} \Delta A B C {/tex} with its sides {tex} \frac { 3 } { 7 } {/tex} of the corresponding sides of {tex} \triangle A B C {/tex}, first draw a ray {tex} B X {/tex} such that {tex} \angle C B X {/tex} is an acute angle and {tex} X {/tex} lies on the opposite side of {tex} A {/tex} with respect to {tex} B C {/tex}. Then located points {tex} B _ { 1 }, B _ { 2 }, B _ { 3 }, {/tex} {tex} \ldots {/tex} on {tex} B X {/tex} at equal distances and next step is to join:

{tex} B _ { 10 } {/tex} to {tex} C {/tex}

{tex} B _ { 3 } {/tex} to {tex} C {/tex}

{tex} B _ { 7 } {/tex} to {tex} C {/tex}

{tex} B _ { 4 } {/tex} to {tex} C {/tex}

**Correct Marks**
1

**Incorrectly Marks**
0

Q 6. To construct a triangle similar to a given {tex} \triangle A B C {/tex} with its side {tex} \frac { 8 } { 5 } {/tex} of the corresponding sides of {tex} \Delta A B C {/tex} draw a ray {tex} B X {/tex} such that {tex} \angle C B X {/tex} is an acute angle and {tex} X {/tex} is on the opposite side of {tex} A {/tex} with respect to {tex} B C {/tex}. The minimum number of points to be located at equal distances on the ray {tex} B X {/tex} :

5

8

13

3

Your request has been placed successfully.