Geometry Book Back One Mark Online Test

Geometry Book Back One Mark Online Test (10th Standard Mathematics)

Pick how many questions you want and set a time limit, then start. You'll get your score at the end with the correct answer and an explanation for every question. Free, in Tamil and English — 15 questions available.

Set up your test

Number of questions

Time limit

Time remaining00:00

If in triangles ABC and EDF, $\frac{AB}{DE} = \frac{BC}{FD}$ then they will be similar, when

A.$\angle B = \angle E$ B.$\angle A = \angle D$ C.$\angle B = \angle D$ D.$\angle A = \angle F$

In $\Delta LMN$, $\angle L = 60^{\circ}$, $\angle M = 50^{\circ}$. If $\Delta LMN \sim \Delta PQR$ then the value of $\angle R$ is

A.$40^{\circ}$ B.$70^{\circ}$ C.$30^{\circ}$ D.$110^{\circ}$

If $\Delta ABC$ is an isosceles triangle with $\angle C = 90^{\circ}$ and $AC = 5$ cm, then $AB$ is

A.2.5 cm B.5 cm C.10 cm D.$5\sqrt{2}$ cm

In a given figure $ST \parallel QR$, $PS = 2$ cm and $SQ = 3$ cm. Then the ratio of the area of $\Delta PQR$ to the area of $\Delta PST$ is

$ST \parallel QR, PS = 2 \text{ செ.மீ}, SQ = 3 \text{ செ.மீ} — Geometry, 10th Standard Mathematics$

A.25 : 4 B.25 : 7 C.25 : 11 D.25 : 13

The perimeters of two similar triangles $\Delta ABC$ and $\Delta PQR$ are 36 cm and 24 cm respectively. If $PQ = 10$ cm, then the length of $AB$ is

A.$6\frac{2}{3}$ cm B.$10\frac{2}{3}$ cm C.$66\frac{2}{3}$ cm D.15 cm

If in $\Delta ABC$, $DE \parallel BC$. $AB = 3.6$ cm, $AC = 2.4$ cm and $AD = 2.1$ cm then the length of $AE$ is

A.1.4 cm B.1.8 cm C.1.2 cm D.1.05 cm

In a $\Delta ABC$, $AD$ is the bisector of $\angle BAC$. If $AB = 8$ cm, $BD = 6$ cm and $DC = 3$ cm. The length of the side $AC$ is

A.6 cm B.4 cm C.3 cm D.8 cm

In the adjacent figure $\angle BAC = 90^{\circ}$ and $AD \perp BC$ then

$\angle BAC = 90^\circ, AD \perp BC — Geometry, 10th Standard Mathematics$

A.$BD \cdot CD = BC^2$ B.$AB \cdot AC = BC^2$ C.$BD \cdot CD = AD^2$ D.$AB \cdot AC = AD^2$

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?

A.13 m B.14 m C.15 m D.12.8 m

Q10

In the given figure, $PR = 26$ cm, $QR = 24$ cm, $\angle PAQ = 90^{\circ}$, $PA = 6$ cm and $QA = 8$ cm. Find $\angle PQR$

$PR = 26 \text{ செ.மீ}, QR = 24 \text{ செ.மீ}, \angle PAQ = 90^\circ, PA = 6 \text{ செ.மீ}, QA = 8 \text{ செ.மீ} — Geometry, 10th Standard Mathematics$

A.$80^{\circ}$ B.$85^{\circ}$ C.$75^{\circ}$ D.$90^{\circ}$

Q11

A tangent is perpendicular to the radius at the

A.centre B.point of contact C.infinity D.chord

Q12

How many tangents can be drawn to the circle from an exterior point?

A.one B.two C.infinite D.zero

Q13

The two tangents from an external point P to a circle with centre at O are PA and PB. If $\angle APB = 70^{\circ}$ then the value of $\angle AOB$ is

A.$100^{\circ}$ B.$110^{\circ}$ C.$120^{\circ}$ D.$130^{\circ}$

Q14

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

$CP = 11 \text{ செ.மீ}, BC = 7 \text{ செ.மீ} — Geometry, 10th Standard Mathematics$

A.6 cm B.5 cm C.8 cm D.4 cm

Q15

In figure if PR is tangent to the circle at P and O is the centre of the circle, then $\angle POQ$ is

PR என்பது வட்டத்தின் தொடுகோடு — Geometry, 10th Standard Mathematics

A.$120^{\circ}$ B.$100^{\circ}$ C.$110^{\circ}$ D.$90^{\circ}$

More for this chapter

About this Geometry test

This free online practice test covers Geometry from the 10th Standard Mathematics (Samacheer Kalvi) syllabus. Choose the number of questions and an optional time limit, then answer and submit — everything is checked in your browser, with the correct answers and a worked explanation shown at the end. For the full solutions to every question in this set, see the solved MCQs page.

More chapters in Mathematics

View all