Valencian Community PAU Technical Drawing II Practice Questions - Valencian Community PAU Technical Drawing II (Dibujo Técnico II Dibuix Tècnic II) Exam - Valencian Community PAU Technical Drawing II Practice Questions - Valencian Community PAU Technical Drawing II (Dibujo Técnico II Dibuix Tècnic II) Exam

Question 1

In a direct homothety centered at point $O$ with scale ratio $k = -1.5$, a segment $AB$ of length $40\text{ mm}$ is transformed into segment $A'B'$. What is the length of $A'B'$ and its geometric orientation relative to $AB$?

Length $60\text{ mm}$, parallel to $AB$ but oriented in the opposite direction relative to center $O$ Length $60\text{ mm}$, perpendicular to $AB$ centered at $O$ Length $26.67\text{ mm}$, parallel and in the same direction as $AB$ Length $40\text{ mm}$, rotated $180^\circ$ about point $A$

Correct Answer:

Length $60\text{ mm}$, parallel to $AB$ but oriented in the opposite direction relative to center $O$

Question 2

In a plane inversion centered at $O$ with positive power $K = 900\text{ mm}^2$, what is the inverse of a straight line $r$ that does NOT pass through the center of inversion $O$?

A straight line parallel to $r$ passing through $O$ A circle passing through the center of inversion $O$ A circle centered at $O$ with radius $30\text{ mm}$ A parabola with focus at $O$

Correct Answer:

A circle passing through the center of inversion $O$

Question 3

Two non-concentric circles $C_1$ (radius $r_1 = 30\text{ mm}$) and $C_2$ (radius $r_2 = 20\text{ mm}$) have centers separated by distance $O_1O_2 = 60\text{ mm}$. What is the geometric locus of points having equal power with respect to both circles?

The line segment connecting $O_1$ and $O_2$ A circle concentric with $C_1$ passing through $O_2$ A straight line perpendicular to the line of centers $O_1O_2$ An ellipse with foci at $O_1$ and $O_2$

Correct Answer:

A straight line perpendicular to the line of centers $O_1O_2$

Question 4

A point $P$ is located at distance $d = 50\text{ mm}$ from the center $O$ of a circle of radius $R = 30\text{ mm}$. What is the power of point $P$ relative to the circle, and what is the length of the tangent segment from $P$ to the circle?

Power = $1600\text{ mm}^2$, Tangent length = $40\text{ mm}$ Power = $3400\text{ mm}^2$, Tangent length = $58.3\text{ mm}$ Power = $2000\text{ mm}^2$, Tangent length = $44.7\text{ mm}$ Power = $800\text{ mm}^2$, Tangent length = $28.3\text{ mm}$

Correct Answer:

Power = $1600\text{ mm}^2$, Tangent length = $40\text{ mm}$

Question 5

In solving Apollonius' tangency problem for two given circles $C_1$ (radius $R_1$) and $C_2$ (radius $R_2$) and a given point $P$, what auxiliary reduction simplifies the problem to finding a circle tangent to one circle passing through two points?

Shrinking or expanding both circles by radius $R_2$, reducing circle $C_2$ to a point Rotating both circles by $90^\circ$ around point $P$ Projecting the circles onto an axonometric plane Inverting both circles with respect to an arbitrary line

Correct Answer:

Shrinking or expanding both circles by radius $R_2$, reducing circle $C_2$ to a point

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Prepare with the Valencian Community PAU Technical Drawing II Practice Questions - Valencian Community PAU Technical Drawing II (Dibujo Técnico II Dibuix Tècnic II) Exam practice quiz. This question bank includes 100 questions covering text, plane, length, line, and projection. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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Valencian Community PAU Technical Drawing II Practice Questions - Valencian Community PAU Technical Drawing II (Dibujo Técnico II Dibuix Tècnic II) Exam

This practice set contains 100 questions from the matching question bank and focuses on text, plane, length, line, and projection. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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Valencian Community PAU Technical Drawing II Practice Questions - Valencian Community PAU Technical Drawing II (Dibujo Técnico II Dibuix Tècnic II) Exam

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