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9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கற்கண்டு (இலக்கணம்) - தொடர் இலக்கணம், ஆகுபெயர் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -விரிவானம் (துணைப்பாடம்) - தாய்மைக்கு வறட்சி இல்லை! Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கவிதை பேழை (செய்யுள்) - மார்கழி பெருவிழா Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உயிருக்கு வேர்-இலக்கணம் - பகுபத உறுப்பிலக்கணம் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர் - இலக்கணம்-எழுத்து -அளபெடை Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர்-துணைப்பாடம் - ஆறாம்திணை Important Questions And Answers Study Material - QB365 Set A
Published on: 19/09/2019
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.
Find the value of x in the figure
2.
In a circle, AB and CD are two parallel chords with centre 0 and radius 5 cm such that AB = 8 cm and CD = 6 cm determine the distance between the chords?
3.
The chord of length 32 cm is drawn at the distance of 12 cm from the centre of the circle. Find the radius of the circle
4.
Objective: To locate the Orthocentre of a triangle using paper folding.
Procedure: with any two vertices of the triangle as external points, construct the perpendiculars to opposite sides. The point of intersection of the perpendiculars is the Orthocentre of the given triangle.
5.
Objective: To construct a perpendicular to a line segment from an external point using paper folding.
Procedure: Draw a line segment AB and mark an external point P. Move B along BA till the fold passes through P and crease it along that line. The crease thus formed is the perpendicular to AB through the external point P.
6.
Objective: To construct a perpendicular bisector of a line segment using paper folding.
Procedure: Make a line segment on a paper by folding it and name it as PQ. Fold PQ to such a way that P falls on Q and thereby creating a crease RS. This line RS is the perpendicular bisector of PQ.
7.
Procedure:
(I) Make a parallelogram on a chart/graph paper and cut it.
(ii) Draw diagonal of the parallelogram.
(iii) Cut along the diagonal and obtain two triangles.
(iv) Superimpose one triangle onto the other.
What do you conclude?
8.
Draw the following special quadrilaterals on a graph sheet, measure the sides and angles and complete the table to explore the properties of the quadrilaterals with respect to sides and angles.
9.
Identify which ones are trapeziums and which are not.
10.
Which ones are not quadrilaterals
11.
Which ones are not quadrilaterals?
12.
Draw the circumcircle for, An isosceles right triangle having 6 cm as the length of the equal sides.
13.
Draw the circumcircle for, An equilateral triangle of side 7 cm.
14.
Find the value of x
15.
Find the value of x
1.
In the cyclic quadrilateral ABCD
\(\angle\)ABC = 180o - 140o = 40o; \(\angle\)BCA = 90o
x = \(\angle\)BAC = 180o - (90o+40o) = 50o
2.
The distance between the two chord
FE = OF + OE
OE = \(\sqrt { { 5 }^{ 2 }-3^{ 2 } } =\sqrt { 25-9 } \)
= \(\sqrt { 16 } \) = 4 cm
OF = \(\sqrt { { 5 }^{ 2 }-{ 4 }^{ 2 } } =\sqrt { 25-16 } =\sqrt { 9 } \) = 3 cm
\(\therefore\) DE = 4 cm + 3 cm = 7 cm
Distance between the chord is 7 cm.
3.
Radius of the circle =\(\sqrt { { 16 }^{ 2 }+{ 12 }^{ 2 } } \)
=\(\sqrt { 256+144 } \)
=\(\sqrt { 400 } =\sqrt { 20\times 20 } =20\)
4.
5.
6.
7.
8.
9.
It is a trapezium
10.
It is not a quadrilateral
11.
It is a quadrilateral
12.
Steps of construction:
Step 1: Draw the ΔABC with the given measure.
Step 2: Construct the perpendicular bisector of any two sides (AB and AC) and let them meet at S which is the circumcentre.
Step 3: With S as centre and SA = SB = SC as radius draw the circumcircle to passes through A, B and C.
13.
Steps for construction:
Step 1: Draw the ΔABC with the given measurement.
Step 2: Construct the perpendicular bisector of any two sides (AB and AC) and let them meet at S which is the circumcentre.
Step 3: With S as centre and SA = SB = SC as radius draw the circumcircle to passes through A, B and C.
14.
\(\angle SOA=2x^0\) (Vertically opposite angles are equal)
\(\angle POB+\angle SOA+\angle DOQ=180^0\) (angle of a straight line)
3x° + 2x°+ 4x° = 180°
9x° = 180°
\(x^0=\frac{180}{9}=20^0\)
The value of x = 20°.
15.
\(\angle AOB =90^0\)
\(\angle BOC +\angle COA=90^0\)
3x0+2x0 = 900
5x0= 900
\(x^0=\frac{90}{5}=18^0\)
The value of x = 18°
9th Standard Syllabus & Materials
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Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards
