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Published on: 27/08/2019
Geometry
Download Tamil Nadu 10th 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.

2.
In figure CP and CQ are tangents to a circle with centre at O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, then the length of BR is

6 cm
5 cm
8 cm
4 cm
3.
The two tangents from an external points P to a circle with centre at O are PA and PB. If \(\angle APB\) = 70o then the value of \(\angle AOB\) is
100°
110°
120°
130°
4.
How many tangents can be drawn to the circle from an exterior point?
one
two
infinite
zero
5.
6.
In the given figure, PR = 26 cm, QR = 24 cm, \(\angle PAQ\) = 90o, PA = 6 cm and QA = 8 cm. Find \(\angle\)PQR

80o
85o
75o
90o
7.
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
13 m
14 m
15 m
12.8 m
8.
In the adjacent figure \(\angle BAC\) = 90o and AD\(\bot \)BC then

BD.CD = BC2
AB.AC = BC2
BD.CD = AD2
AB.AC = AD2
9.
In a \(\triangle\)ABC, AD is the bisector \(\angle\)BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is
6 cm
4 cm
3 cm
8 cm
10.
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
1.4 cm
1.8 cm
1.2 cm
1.05 cm
11.
The perimeters of two similar triangles ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is
\(6\frac { 2 }{ 3 } cm\)
\(\frac { 10\sqrt { 6 } }{ 3 } cm\)
\(66\frac { 2 }{ 3 } cm\)
15 cm
12.
In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is

25 : 4
25 : 7
25 : 11
25 : 13
13.
If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C = 90o and AC = 5 cm, then AB is
2.5 cm
5 cm
10 cm
\(5\sqrt { 2 } \)cm
14.
In ∆LMN, \(\angle\)L = 60o, \(\angle\)M = 50o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is
40o
70°
30°
110°
15.
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
\(\angle B=\angle E\)
\(\angle A=\angle D\)
\(\angle B=\angle D\)
\(\angle A=\angle F\)
1.
(d)
2.
(d)
4 cm
3.
(b)
110°
4.
(b)
two
5.
(b)
6.
(d)
90o
7.
(a)
13 m
8.
(c)
BD.CD = AD2
9.
(b)
4 cm
10.
(a)
1.4 cm
11.
(d)
15 cm
12.
(a)
25 : 4
13.
(d)
\(5\sqrt { 2 } \)cm
14.
(b)
70°
15.
(c)
\(\angle B=\angle D\)
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards