In the figure, line PQ || line RS. Using the information given

in the figure find the value of x.

Concept: General Equation of a Line

In the figure, parts of the two triangles bearing identical marks are

congruent. State the test by which the triangles are congruent.

Concept: Similarity of Triangles

In Δ ABC, if ∠ A = 65° ; ∠ B = 40° then find the measure of ∠ C.

Concept: Length of an Arc

`square`PQRS is a parallelogram. Write the sum of measures of ∠P and ∠ Q.

Concept: Property of Sum of Measures of Arcs

If hypotenuse of a right angled triangle is 5 cm, find the radius of

the circle passing through all vertices of the triangle.

Concept: Apollonius Theorem

Write the co-ordinates of the point of intersection of graphs of

equations x = 2 and y = -3.

Concept: Co-ordinates of the Midpoint of a Segment

Length of a rectangular tank is twice its breadth. If the

depth of the tank is 3 m and area of its four walls is 108 m2, find the

length of the tank.

Concept: Length of an Arc

In right angled triangle PQR,

if ∠ Q = 90°, PR = 5,

QR = 4 then find PQ and hence find tan R.

Concept: Similarity in Right Angled Triangles

In Δ PQR, points S and T

are the midpoints of sides PQ

and PR respectively.

If ST = 6.2 then find the length of QR.

Concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle

In Δ PQR, points S and T

are the midpoints of sides PQ

and PR respectively.

If ST = 6.2 then find the length of QR.

Concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle

Δ ABC ∼ Δ PQR. If A(Δ ABC)=25, A(ΔPQR)=16, find AB : PQ.

(A) 25:16

(B) 4:5

(C) 16:25

(D) 5:4

Concept: Similar Triangles

From the information given in the figure, find the measure of ∠ AEC.

(A) 42° (B) 30°

(C) 36° (D) 72°

Concept: Property of Sum of Measures of Arcs

Point P is the midpoint of seg AB. If co-ordinates of A and B are (-4, 2) and (6, 2) respectively then find the co-ordinates of point P.

(A) (-1,2) (B) (1,2) (C) (1,-2) (D) (-1,-2)

Concept: Co-ordinates of the Midpoint of a Segment

Find the ratio of the volumes of a cylinder and a cone having equal radius and equal height.

(A)1 : 2 (B) 2 : 1 (C) 1 : 3 (D) 3 : 1

Concept: Introduction of Surface Areas and Volumes

In the adjoining figure,

PQ ⊥ BC, AD ⊥ BC,

PQ = 4, AD = 6

Write down the following ratios.

(i)`(A(ΔPQB))/(A(ΔADB))`

(ii)`(A(ΔPBC))/(A(ΔABC))`

Concept: Similar Triangles

Diagonal of a square is 20 cm. Find the length and perimeter of the square.

Concept: Perimeter and Area of a Circle

In the figure, point Q is the

point of contact. If PQ = 12,

PR = 8 then find PS.

Concept: Tangent to a Circle

In the following figure ‘O’ is the centre of the circle.

∠AOB = 1100, m(arc AC) = 450.

Use the information and fill in the boxes with proper numbers.

(i) m(arcAXB) =

(ii)m(arcCAB) =

(iv)∠COB =

(iv)m(arcAYB) =

Concept: Tangent Segment Theorem

In the figure, c ABCD is a cyclic quadrilateral. Seg AB is a diameter. If ∠ ADC = 120˚, complete the following activity to find measure of ∠ BAC.

`square` ABCD is a cyclic quadrilateral.

∴ ∠ ADC + ∠ ABC = 180°

∴ 120˚ + ∠ ABC = 180°

∴ ∠ ABC =

But ∠ ACB = .......angle in semicircle In Δ ABC,

∠ BAC + ∠ ACB + ∠ ABC = 180°

∴ ∠BAC + = 180°

∴ ∠ BAC =

Concept: Cyclic Properties

Complete the table below the graph with the help of the following graph.

Sr. No. |
First point |
Second point |
Co-ordinates of first point (x_{1} , y_{1}) |
Co-ordinates of second point (x_{2} , y_{2}) |
`(y_2 - y_2)/(x_2 - x_2)` |

1 | C | E | (1, 0) | (3,4) | `4/2=2` |

2 | A | B | (-1,-4) | (0,-2) | `2/1 = 2` |

3 | B | D | (0,-2) | (2,2) | `4/2=2` |

Concept: Co-ordinates of the Midpoint of a Segment

If tanθ `= 3/4` then find the value of secθ.

Concept: Trigonometric Identities

Find the length of an arc if measure of the arc is 90° and its radius

is 14 cm.

Concept: Length of an Arc

Seg NQ is the bisector of ∠ N

of Δ MNP. If MN= 5, PN =7,

MQ = 2.5 then find QP.

Concept: Property of an Angle Bisector of a Triangle

∆ABC is an equilateral triangle. Point P is on base BC such that PC = \[\frac{1}{3}\] BC, if AB = 6 cm find AP.

Concept: Similarity in Right Angled Triangles

In the adjoining figure,

seg XY || seg AC, If 3AX = 2BX

and XY = 9 then find the length of AC.

Concept: Basic Proportionality Theorem Or Thales Theorem

Show that `square` ABCD formed by the vertices A(-4,-7), B(-1,2), C(8,5) and D(5,-4) is a rhombus.

Concept: Concepts of Coordinate 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?

Concept: Heights and Distances

Two circles intersect each other at points C and D. Their common tangent AB touches the circles at point A and B. Prove that :

∠ ADB + ∠ ACB = 180°

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

Draw an isosceles triangle with base 5 cm and height 4 cm. Draw a triangle similar to the triangle drawn whose sides are `2/3` times the sides of the triangle.

Concept: Basic Proportionality Theorem Or Thales Theorem

Height of a cylindrical barrel is 50 cm and radius of its base is 20 cm. Anurag started to fill the barrel with water, when it was empty, by a cylindrical mug. The diameter and height of the mug was 10 cm and 15cm respectively. How many minium number of mugs will be required for the barrel to overflow?

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

Draw Δ ABC such that, AB = 8 cm, BC = 6 cm and ∠ B = 90°. Draw seg BD

perpendicular to hypotenuse AC. Draw a circle passing through points

B, D, A. Show that line CB is a tangent of the circle.

Concept: Tangent to a Circle

## Maharashtra State Board previous year question papers Class 10th Board Exam Geometry with solutions 2018 - 2019

Previous year Question paper for Maharashtra State Board Class 10th Board Exam 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 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.