2018-2019 March

Ponit M is the mid point of seg AB and AB = 14 then AM = ?

Concept: Basic Geometric Constructions

Observe the adjoining figure and write down one pair of interior angles.

Concept: Basic Geometric Constructions

If Δ ABC ∼ Δ XYZ then complete the following brackets.

`(AB)/(XY) = /(YZ) = (AC)/`

Concept: Basic Geometric Constructions

Draw ∠ ARP= 115° and bisect it.

Concept: Basic Geometric Constructions

From the figure find the value of sinθ.

Concept: Basic Geometric Constructions

Write down the equation of X- axis.

Concept: Basic Geometric Constructions

Radius of a sphere is 14 cm. Find the surface area of the sphere.

Concept: Introduction of Surface Areas and Volumes

P is the centre of the circle and its radius is

10 cm. Distance of a chord AB from the centre is 6 cm. Find the length of chord AB.

Concept: Theorem - Converse of Tangent at Any Point to the Circle is Perpendicular to the Radius

LMNP is a parallelogram. From the information given in the figure fill in the following boxes.

MN = cm

PN = cm

∠ M =

∠ N =

Concept: Centroid Formula

Select the correct alternative answer and write it.

The ratio of corresponding sides of similar triangles is 5 : 7, then what is

the ratio of their areas ?

(A)25 : 49 (B) 49 : 25 (C) 5 : 7 (D) 7 : 5

Concept: Similar Triangles

Select the correct alternative answer and write it.

What is the total surface area of a solid hemisphere whose radius is r ?

(A) 4pr^{2 } (B) pr2 (C) 2pr^{2 } (D) 3pr^{2}

Concept: Surface Area of a Combination of Solids

Find the length of the hypotenuse in a right angled triangle where the sum

of the squares of the sides making right angle is 169.

(A)15 (B) 13 (C) 5 (D) 12

Concept: Similarity in Right Angled Triangles

How many common tangents can be drawn to two circles, touching each

other externally?

One

Two

Three

Four

Concept: Tangent to a Circle

In the given figure, CB ⊥ AB, DA ⊥ AB.

if BC = 4, AD = 8 then `(A(Δ ABC))/(A(Δ ADB))` find.

Concept: Similar Triangles

Find the length of the hypotenuse of a square whose side is 16 cm.

Concept: Section Formula

Radius of a sector of a circle is 21 cm. If length of arc of that sector is

55 cm, find the area of the sector.

Concept: Tangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers

In the figure m(arc LN) = 110o,

m(arc PQ) = 50o then complete the following activity to find ∠ LMN.

∠ LMN = 12 [m(arc LN) - ]

∴ ∠ LMN = 12 [ - 50o]

∴ ∠ LMN = 12 ×

∴ ∠ LMN =

Concept: Cyclic Properties

Complete the following activity to draw a tangent to a circle at a point on

the circle.

Draw a circle of radius 2.2 cm with O as centre.

↓

Take any point P on the circle and draw ray OP.

↓

Draw a perpendicular line to the ray at point P.

↓

Name the perpendilcular line as l

l is the tangent at point P.

Concept: Construction of Tangents to a Circle

A tank of cylindrical shape has radius 2.8 m and its height 3.5 m. Complete

the activity to find how many litres of water the tank will contain.

Capacity of water tank = Volume of cylindrical tank

Concept: Introduction of Surface Areas and Volumes

In Δ DEF, line PQ || side EF, If DP = 2.4,

PE = 7.2, PQ = 1 then find QF.

Concept: General Equation of a Line

In the figure Q is the contact point. If

PQ = 12, PR = 8, then PS = ?

Concept: Cyclic Properties

If `secθ = 25/7 ` then find tanθ.

Concept: Trigonometric Identities

Prove that, in a right angled triangle, the square of the hypotenuse is

equal to the sum of the squares of remaining two sides.

Concept: Similarity in Right Angled Triangles

Show that A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are the vertices of a

rhombus ABCD.

Concept: Concepts of Coordinate Geometry

A storm broke a tree and the tree top rested on ground 20 m away from the

base of the tree, making an angle of 60o with the ground. Find the height

of the tree.

Concept: Heights and Distances

Draw a circle with centre P and radius 2.1 cm. Take point Q at a distance

5.2 cm from the centre. Draw tangents to the circle from point Q. Measure

and write the length of a tangent segment.

Concept: Construction of Tangents to a Circle

AB and AC are the two chords of a circle whose radius is r. If p and q are

the distance of chord AB and CD, from the centre respectively and if

AB = 2AC then proove that 4q2 = p^{2} + 3r^{2}.

Concept: Distance Formula

Δ SHR ∼ Δ SVU. In Δ SHR, SH = 4.5 cm, HR = 5.2 cm, SR = 5.8 cm and

SHSV = 53 then draw Δ SVU.

Concept: Division of a Line Segment

Radius of circular base of an ear of corn is 6.6 cm and its length is

11.2 cm. If on an average 1 sqcm area contains 2 corn kernels, find the

total number of kernels on a corn.

Concept: Theorem - Converse of Tangent at Any Point to the Circle is Perpendicular to the Radius

In Δ ABC and Δ PQR,

∠ ABC ≅ ∠ PQR, seg BD and

seg QS are angle bisector.

`If (l(AD))/(l(PS)) = (l(DC))/(l(SR))`

Prove that : Δ ABC ∼ Δ PQR

Concept: Property of an Angle Bisector of a Triangle

#### 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 10th Geometry with solutions 2018 - 2019

Previous year Question paper for Maharashtra State Board 10th Geometry-2019 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 10th.

How Maharashtra State Board 10th 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.