Date: March 2020

Duration: 2h

Some question and their alternative answer are given. Select the correct alternative.

Find perimeter of a square if its diagonal is \[10\sqrt{2}\]

10 cm

\[40\sqrt{2}\]cm

20 cm

40 cm

Chapter: [2] Pythagoras Theorem

Choose the correct alternative answer for the following question.

1 + tan^{2} \[\theta\] = ?

cot^{2}θ

cosec^{2}θ

sec^{2}θ

tan^{2}θ

Chapter: [6] Trigonometry

Four alternative answers for the following question is given. Choose the correct alternative.

Chords AB and CD of a circle intersect inside the circle at point E. If AE = 5.6, EB = 10, CE = 8, find ED.

7

8

11.2

9

Chapter: [3] Circle

Fill in the blank using correct alternative.

Out of the following, point ........ lies to the right of the origin on X– axis.

(–2,0)

(0,2)

(2,3)

(2,0)

Chapter: [4] Co-ordinate Geometry

Some question and their alternative answer are given. Select the correct alternative.

In ∆ABC, AB = \[6\sqrt{3}\] cm, AC = 12 cm, BC = 6 cm. Find measure of ∠A.

30°

60°

90°

45°

Chapter: [2] Pythagoras Theorem

Prove the following.

tan^{4}θ + tan^{2}θ = sec^{4}θ - sec^{2}θ

Chapter: [6] Trigonometry

The radii of ends of a frustum are 14 cm and 6 cm respectively and its height is 6 cm. Find its curved surface area

Chapter: [7] Mensuration

The radius of a circle is 10 cm. The measure of an arc of the circle is 54^{°}. Find the area of the sector associated with the arc. (\[\pi\]= 3.14 )

Chapter: [7] Mensuration

In ∆ABC, AB = 10, AC = 7, BC = 9 then find the length of the median drawn from point C to side AB

Chapter: [2] Pythagoras Theorem

In the given figure, in a circle with centre O, length of chord AB is equal to the radius of the circle. Find measure of each of the following.

(1) ∠ AOB (2)∠ ACB

(3) arc AB (4) arc ACB.

Chapter: [3] Circle

In the given figure, ∆QRS is an equilateral triangle. Prove that,

(1) arc RS ≅ arc QS ≅ arc QR

(2) m(arc QRS) = 240°.

Chapter: [3] Circle

Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.

Chapter: [5] Geometric Constructions

Construct ∆PYQ such that, PY = 6.3 cm, YQ = 7.2 cm, PQ = 5.8 cm. If \[\frac{YZ}{YQ} = \frac{6}{5},\] then construct ∆XYZ similar to ∆PYQ.

Chapter: [5] Geometric Constructions

Show that the points A(1, 2), B(1, 6), \[C\left( 1 + 2\sqrt{3}, 4 \right)\] are vertices of an equilateral triangle.

Chapter: [4] Co-ordinate Geometry

Two buildings are in front of each other on a road of width 15 meters. From the top of the first building, having a height of 12 meter, the angle of elevation of the top of the second building is 30°.What is the height of the second building?

Chapter: [6] Trigonometry

In the given figure, if A(P-ABC) = 154 cm^{2 }radius of the circle is 14 cm, find

(1) `∠APC`

(2) l ( arc ABC) .

Chapter: [7] Mensuration

In adjoining figure, seg PS ⊥ seg RQ seg QT ⊥ seg PR. If RQ = 6, PS = 6 and PR = 12, then Find QT.

Chapter: [1] Similarity

Walls of two buildings on either side of a street are parellel to each other. A ladder 5.8 m long is placed on the street such that its top just reaches the window of a building at the height of 4 m. On turning the ladder over to the other side of the street , its top touches the window of the other building at a height 4.2 m. Find the width of the street.

Chapter: [2] Pythagoras Theorem

** **In trapezium PQRS, side PQ || side SR, AR = 5AP, AS = 5AQ then prove that, SR = 5PQ

Chapter: [1] Similarity

Draw a circle with centre O and radius 3.5 cm. Take point P at a distance 5.7 cm from the centre. Draw tangents to the circle from point P.

Chapter: [5] Geometric Constructions

Prove the following trigonometric identities.

`1/(sec A + tan A) - 1/cos A = 1/cos A - 1/(sec A - tan A)`

Chapter: [6] Trigonometry

In the given figure, BC is a tangent to the circle with centre O. OE bisects AP. Prove that ΔAEO~Δ ABC.

Chapter: [3] Circle

The areas of two similar triangles are 121 cm^{2} and 64 cm^{2} respectively. If the median of the first triangle is 12.1 cm, find the corresponding median of the other.

Chapter: [1] Similarity

In the given figure, OQ : PQ = 3.4 and perimeter of Δ POQ = 60 cm. Determine PQ, QR and OP.

Chapter: [3] Circle

Two vertices of an isosceles triangle are (2, 0) and (2, 5). Find the third vertex if the length of the equal sides is 3.

Chapter: [4] Co-ordinate Geometry

In the given figure,

\[\square\] PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y, and z.

Chapter: [7] Mensuration

Some plastic balls of radius 1 cm were melted and cast into a tube. The thickness, length and outer radius of the tube were 2 cm, 90 cm, and 30 cm respectively. How many balls were melted to make the tube?

Chapter: [7] Mensuration

#### Other Solutions

#### Submit Question Paper

Help us maintain new question papers on Shaalaa.com, so we can continue to help studentsonly jpg, png and pdf files

## Maharashtra State Board previous year question papers Class 10th Board Exam Geometry with solutions 2019 - 2020

Previous year Question paper for Maharashtra State Board Class 10th Board Exam Geometry-2020 is solved by experts. Solved question papers gives you the chance to check yourself after your mock test.

By referring the question paper Solutions for Geometry, you can scale your preparation level and work on your weak areas. It will also help the candidates in developing the time-management skills. Practice makes perfect, and there is no better way to practice than to attempt previous year question paper solutions of Maharashtra State Board Class 10th Board Exam.

How Maharashtra State Board Class 10th Board Exam Question Paper solutions Help Students ?

• Question paper solutions for Geometry will helps students to prepare for exam.

• Question paper with answer will boost students confidence in exam time and also give you an idea About the important questions and topics to be prepared for the board exam.

• For finding solution of question papers no need to refer so multiple sources like textbook or guides.