9th Standard Syllabus & Materials
9th Standard
TN 9ஆம் வகுப்பு கணிதம் ஆயத்தொலை வடிவியல்,முக்கோணவியல் முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Maths Coordinate Geometry,Trigonometry Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers
NEW9th Standard
TN 9ஆம் வகுப்பு கணிதம் அளவியல்,புள்ளியியல்&நிகழ்தகவு முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Maths Mensuration,Statistics&Probability Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
TN 9ஆம் வகுப்பு சமூக அறிவியல் வரலாறு - செவ்வியல் உலகம் முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Social Science HIS - The Classical World Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
TN 9ஆம் வகுப்பு சமூக அறிவியல் வரலாறு - தொடக்ககாலத் தமிழ்ச் சமூகமும் பண்பாடும்முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Social Science HIS - Early Tamil Society and Culture Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
TN 9ஆம் வகுப்பு சமூக அறிவியல் வரலாறு - தொழிற்புரட்சி முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Social Science HIS - Industrial Revolution Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
TN 9ஆம் வகுப்பு சமூக அறிவியல் வரலாறு - நவீன யுகத்தின் தொடக்கம் முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Social Science HIS - The Beginning of the Modern AgeImportant 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
Published on: 06/09/2019
Term 2 Geometry
Download Tamil Nadu 9th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
A circle divides the plane into ________ parts.
2.
A part of a circle between any two points is called a/an ________ of the circle
3.
Distance from the centre to any point on the circumference of the circle is called ____
4.
The boundary of the circle is called its circumference
5.
Point of concurrency of the diameter is the centre of the circle
6.
Line segment joining any two points on the circle is called radius of the circle.
7.
In the concentric circles, chord AB of the outer circle cuts the inner circle at C and D as shown in the diagram. Prove that, AB−CD = 2AC
8.
In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?
9.
A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord
10.
Find the length of the chord AC where AB and CD are the two diameters perpendicular to each other of a circle with radius 4 √2 cm and also find ㄥOAC and ㄥOCA
11.
Construct an equilateral triangle of side 6cm and locate its centroid and also its incentre. What do you observe from this?
12.
Draw the \(\triangle \)ABC , where AB = 6 cm, B = 110° and AC = 9 cm and construct the centroid.
13.
Construct the ΔLMN such that LM = 7.5cm, MN = 5cm and LN = 8cm. Locate its centroid.
14.
AD is a diameter of a circle and AB is a chord If AD = 30 cm and AB = 24cm then the distance of AB from the centre of the circle is ______.
10cm
9cm
8cm
6cm
15.
If one angle of a cyclic quadrilateral is 75° , then the opposite angle is ________.
100°
105°
85°
90°
16.
In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ㄥQRS = 100°, then ㄥTVS = ______.
80°
100°
70°
90°
17.
In a cyclic quadrilaterals ABCD, ㄥA = 4x, ㄥC = 2x the value of x is ________.
30°
20°
15°
25°
1.
( )
three
2.
( )
arc
3.
( )
radius
4.
(a)
5.
(a)
6.
(b)
7.
Given: Chord AB of the outer circle cuts the inner circle at C and D.
To prove: AB − CD = 2AC
Construction: Draw OM ⊥ AB
Proof: Since, OM ⊥ AB (By construction)
Also, OM ⊥ CD
Therefore, AM = MB ... (1) (Perpendicular drawn from centre to chord bisect it)
CM = MD ... (2)
Now, AB – CD = 2AM–2CM
= 2(AM–CM) from (1) and (2)
AB – CD = 2AC
8.
The distance between two chord FE
= OE + OF
OE = \(\sqrt { { 10 }^{ 2 }-{ 6 }^{ 2 } } =\sqrt { 100-36 } =\sqrt { 64 } =8cm\)
OF = \(\sqrt { { 10 }^{ 2 }-{ 8 }^{ 2 } } \)
= \(\sqrt { 100-64 } \)
= \(\sqrt { 36 } =6cm\)
\(\therefore \) FE = 8 cm + 6 cm = 14 cm
\(\therefore\) Distance between the chords is 14 cm
9.
BD = \(\sqrt { { 15 }^{ 2 }+{ 12 }^{ 2 } } \)
= \(\sqrt { 225-144 } \)
= \(\sqrt { 81 } \)
= 9 cm
\(\therefore\) length of the chord AB = 9 + 9 = 18
10.
\(\triangle \)OAC is an isoceles triangle with one angle 90°
\(\therefore \ \angle OAC+\angle OCA={ 180 }^{ 0 }-{ 90 }^{ 0 }\)
\(2\angle OAC={ 90 }^{ 0 }\) \(\left( \therefore \ \angle OAC=\angle OCACA \right) \)
\(\angle OAC={ 45 }^{ 0 }\)
\(\therefore \angle OAC={ 45 }^{ 0 }\)
Length of the chord =\(\sqrt { \left( 4\sqrt { 2 } \right) ^{ 2 }+\left( 4\sqrt { 2 } \right) ^{ 2 } } \)
=\(\sqrt { 16\times 2+16\times 2 } \)
=\(\sqrt { 64 } =8cm\)
11.
In an equilateral \(\triangle \) on side = 6 cm,
Construction :
Step 1: Draw ΔABC with equal sides of 6 cm length.
Step 2: Draw perpendicular bisectors of any two sides (BC and AC) to find the mid points of BC and AC.
Step 3: Draw medians BD and CE. Let them meet at G.
Step 4: Draw angle bisectors of any two sides (ㄥB and ㄥC): Let them meet at I.
Step 5: G and I are concurrent point and G is the centroid, I is the incentre.
Step 6: In an equilateral triangle centroid and incentre lie on the same point.
12.
In \(\triangle \)ABC, AB = 6 cm, LB= 110°, AC = 9 cm
Construction :
Step 1: Draw \(\triangle \)ABC with AB = 6 cm, ∠B =110°, AC = 9 cm
Step 2: Draw perpendicular bisectors of any two sides (BC and AB) to find the mid points of BC and AB.
Step 3: Construct medians AD and CE. Let them meet at G.
Step 4: G is the centroid of the given \(\triangle \)ABC.
13.
In \(\triangle \)LMN
LM = 7.5 cm,
MN = 5 cm,
LN = 8 cm
Construction :
Step 1: Draw \(\triangle \)LMN with LNM = 8 cm, MN = 5 cm, LM = 7.5 cm
Step 2: Construct perpendicular bisectors for any two sides (LN and MN) to find the mid points of LM and MN.
Step 3: Draw the medians LD, ME. Let them meet at G.
Step 4: G is the centroid of the triangle LMN.
14.
(b)
9cm
15.
(b)
105°
16.
(a)
80°
17.
(a)
30°
9th Standard Syllabus & Materials
9th Standard
TN 9ஆம் வகுப்பு சமூக அறிவியல் வரலாறு - பண்டைய நாகரிகங்கள் முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Social Science HIS - Ancient . Civilisations Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
TN 9ஆம் வகுப்பு சமூக அறிவியல் வரலாறு - புரட்சிகளின் காலம் முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Social Science HIS - The Age of Revolutions Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
TN 9ஆம் வகுப்பு சமூக அறிவியல் வரலாறு - இடைக்கால இந்தியாவில் அரசும் சமூகமும் முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Social Science HIS - State and Society in Medieval India Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
TN 9ஆம் வகுப்பு சமூக அறிவியல் வரலாறு - ஆசிய ஆப்பிரிக்க நாடுகளில் காலனியாதிக்கம் முக்கியமான 2,3,&5 மதிப்பெண் வினாக்கள் விடைகளுடன் TN 9th Social Science HIS - Colonialism in Asia and Africa Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards
