SSC (English Medium) Class 10th Board ExamMaharashtra State Board
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# All Solutions for SSC (English Medium) Class 10th Board Exam - Maharashtra State Board - Geometry

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Geometry
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Find the slope of the line with inclination 30° .

[3] Co-ordinate Geometry
Chapter: [3] Co-ordinate Geometry
Concept: Slope of a Line
Appears in 1 question paper

For the angle in standard position if the initial arm rotates 25° in anticlockwise direction, then state the quadrant in which terminal arm lies (Draw the figure and write the answer).

[5] Trigonometry
Chapter: [5] Trigonometry
Concept: Angles in Standard Position
Appears in 1 question paper

ΔSHR ~ ΔSVU. In ΔSHR, SH = 4.5 cm, HR = 5.2 cm, SR = 5.8 cm and (SH)/(SV)=3/5. Construct ΔSVU.

[4] Geometric Constructions
Chapter: [4] Geometric Constructions
Concept: Division of a Line Segment
Appears in 2 question papers

Find the slope of the line passing through the points A(-2, 1) and B(0, 3).

[3] Co-ordinate Geometry
Chapter: [3] Co-ordinate Geometry
Concept: Slope of a Line
Appears in 1 question paper

Write down the equation of a line whose slope is 3/2 and which passes through point P, where P divides the line segment AB joining A(-2, 6) and B(3, -4) in the ratio 2 : 3.

[4] Geometric Constructions
Chapter: [4] Geometric Constructions
Concept: Division of a Line Segment
Appears in 1 question paper

ΔRST ~ ΔUAY, In ΔRST, RS = 6 cm, ∠S = 50°, ST = 7.5 cm. The corresponding sides of ΔRST and ΔUAY are in the ratio 5 : 4. Construct ΔUAY.

[4] Geometric Constructions
Chapter: [4] Geometric Constructions
Concept: Division of a Line Segment
Appears in 1 question paper

Find the slope of the line passing through the points A(2,3) and B(4,7).

[3] Co-ordinate Geometry
Chapter: [3] Co-ordinate Geometry
Concept: Slope of a Line
Appears in 1 question paper

Construct the circumcircle and incircle of an equilateral triangle ABC with side 6 cm and centre O. Find the ratio of radii of circumcircle and incircle.

[4] Geometric Constructions
Chapter: [4] Geometric Constructions
Concept: Division of a Line Segment
Appears in 1 question paper

If theta = 45^@, then find tan theta.

[5] Trigonometry
Chapter: [5] Trigonometry
Concept: Angles in Standard Position
Appears in 1 question paper

A slope of a line is 3 and y-intercept is –4. Write the equation of a line

[3] Co-ordinate Geometry
Chapter: [3] Co-ordinate Geometry
Concept: Slope of a Line
Appears in 1 question paper

Find the circumferences of a circle whose radius is 7 cm.

[2] Circle
Chapter: [2] Circle
Concept: Tangents and Its Properties
Appears in 1 question paper

Find the slope of the line passing through the points G(4, 5) and H (–1, –2).

[3] Co-ordinate Geometry
Chapter: [3] Co-ordinate Geometry
Concept: Slope of a Line
Appears in 1 question paper

Prove that: If the angles of a triangle are 45° – 45° – 90°, then each of the perpendicular sides is $\frac{1}{\sqrt{2}}$times the hypotenuse.”

[5] Trigonometry
Chapter: [5] Trigonometry
Concept: Angles in Standard Position
Appears in 1 question paper

Construct the circumcircle and incircle of an equilateral ∆XYZ with side 6.5 cm and centre O. Find the ratio of the radii of incircle and circumcircle.

[4] Geometric Constructions
Chapter: [4] Geometric Constructions
Concept: Division of a Line Segment
Appears in 1 question paper

Find the area of sector whose arc length and radius are 10 cm and 5 cm respectively

[6] Mensuration
Chapter: [6] Mensuration
Concept: Areas of Sector and Segment of a Circle
Appears in 1 question paper

In the following figure seg AB ⊥ seg BC, seg DC ⊥ seg BC. If AB = 2 and DC = 3, find (A(triangleABC))/(A(triangleDCB))

[1] Similarity
Chapter: [1] Similarity
Concept: Properties of Ratios of Areas of Two Triangles
Appears in 1 question paper

Find the slope and y-intercept of the line y = -2x + 3.

[3] Co-ordinate Geometry
Chapter: [3] Co-ordinate Geometry
Concept: Intercepts Made by a Line
Appears in 1 question paper

Draw ∠ABC of measure 105° and bisect it.

[4] Geometric Constructions
Chapter: [4] Geometric Constructions
Concept: Basic Geometric Constructions
Appears in 1 question paper

Find the area of the sector whose arc length and radius are 8 cm and 3 cm respectively.

[6] Mensuration
Chapter: [6] Mensuration
Concept: Areas of Sector and Segment of a Circle
Appears in 1 question paper

In the following figure, if m(are DXE) = 90° and m(are AYC) = 30°. Find ∠DBE.

[6] Mensuration
Chapter: [6] Mensuration
Concept: Areas of Sector and Segment of a Circle
Appears in 1 question paper
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All Solutions for SSC (English Medium) Class 10th Board Exam Maharashtra State Board Geometry. You can further filter Question Answers by subjects and chapters. Solutions for most of the questions for Maharashtra State Board can be found here on shaalaa.com. You can use these solutions to prepare for your studies and ace in exams. Solving questions is a great way to practice and with shaalaa.com, you can answer a question and then also check your answer with the solutions provided.
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