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Home Question Bank Math Geometry Archive 2024 December 29

Geometry Questions from Dec 29,2024

Browse the Geometry Q&A Archive for Dec 29,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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B) Sorent \( A, B, C \) et \( D \) quaure points du plan ou de l'espace muni d'un repere orthonormé Calculez \( A \vec{B} \cdot \overrightarrow{C b}) \) si \( \begin{array}{ll}\text { 1) } \overrightarrow{A B}\binom{-5}{1} \text { et } \overrightarrow{C D}\binom{-3}{2} & \text { 2) } A(3 ; 4), B(-2 ; 1), C(4 ;-2) \text { el } D(-1 ;-3) \\ \text { 3) } \overrightarrow{A B}\left(\begin{array}{c}4 \\ 1 \\ -2\end{array}\right) \text { et } \overrightarrow{C D}\left(\begin{array}{c}-3 \\ -1 \\ 2\end{array}\right) & \text { 4) } A(3 ; 0 ; 4), B(-2 ; 1 ; 1), C(1 ;-2 ;-3) \text { et } D(-1 ;-3 ; 2)\end{array} \) B) Sovent \( A, B \). Cet \( D \) quarre points du plan ou de respace meni d un repere orthonormé. Calcules \( \overrightarrow{A B} \cdot \overrightarrow{C D} \) s: \( \begin{array}{ll}\text { 1) } \overrightarrow{A B}\binom{-5}{1} \text { et } \overrightarrow{C D}\binom{-3}{2} & \text { 2) } A(3 ; 4), B(-2 ; 1), C(4 ;-2) \text { et } D(-1 ;-3) \\ \text { 3) } \overrightarrow{A B}\left(\begin{array}{c}4 \\ 1 \\ -2\end{array}\right) \text { et } \overrightarrow{C D}\left(\begin{array}{c}-3 \\ -1 \\ 2\end{array}\right) & \text { 4) } A(3 ; 0 ; 4), B(-2 ; 1 ; 1), C(4 ;-2 ;-3) \text { et } D(-1:-3 ; 2)\end{array} \) bu \( y^{2}=4 x \) parabola tenglamasini qutb koordinatalar sistemasida ifodalang. Pregunta \( \mathrm{N}^{\circ} 4 \) : Dos rectas que tienen la misma pendiente se denominan: Seleccione la respuesta correcta Rectas Paralelas Rectas Secantes Rectas Perpendiculares Ninguna de las anteriores 1. Construct the following right- angled triangle ABC using a ruler and a pair of compasses \( \mathrm{AB}=7 \mathrm{~cm} \), angle \( \mathrm{BAC}=90^{\circ}, \mathrm{AC}=6 \mathrm{~cm} \) 1. Construct the following right- angled triangle ABC using a ruler and a pair of compasses \( \mathrm{AB}=7 \mathrm{~cm} \), angle \( \mathrm{BAC}=90^{\circ}, \mathrm{AC}=6 \mathrm{~cm} \) (2marks) F) Considérons le plan ou l'espace muni d'un repère. Déterminez le milieu des segments \( [A B] \) si \( \begin{array}{ll}\text { 1) } A(-1 ; 1) \text { et } B(2 ; 3) & \text { 2) } A=O \text { et } B=(1 ;-4) \\ \text { 3) } A(1 ;-2 ; 4) \text { et } B(-1 ; 2 ;-1) & \text { 4) } A(3 ;-7 ; 2) \text { et } B(-4 ; 6 ;-1)\end{array} \) La somma dei cateti di un triangolo rettango- lo misura 21 cm uno dei cateti è \( \frac{3}{4} \) dell'altro. Calcola il perimetro del triangolo. \( \quad[36 \mathrm{~cm}] \) बान की चादर से बना और ऊपर से युला एक वर्तन शंनु के एक छिनक के आकार का है जिसकी 16 सेर्मी है तथा निचले और कथरी सिरों की त्रिज्याएँ क्रमशः 8 सेमी और 20 सेमी है हु- 50 प्रति लीटरा की दर से इस वर्तन को पूरु भरने वाले दूप का मूल्व ज्ञात करें। \( (\pi=3.14) \) D) Considérons \( A(-2 ; 1), B(5 ; 2), C(4 ; 2), D(-3 ;-1) \) et \( E(0 ; 2) \). Déterminez les composantes des vecteurs suivants: \( \begin{array}{lll}\text { 1) } 2 \overrightarrow{A B} & \text { 2) } 3 \overrightarrow{C D} & \text { 3) } \overrightarrow{A C}+\overrightarrow{E B} \\ \text { 4) } \overrightarrow{B A}-\overrightarrow{D E} & \text { 5) } 2 \overrightarrow{C B}+3 \overrightarrow{A B} & \text { 6) } 3 \overrightarrow{B D}-2 \overrightarrow{A E}+\frac{1}{2} \overrightarrow{C A}\end{array} \)
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