43. What is the difference between the total surface area and curved surface area of a cylinder whose radius is equal to 10 cm ? \( \begin{array}{ll}\text { (a) } 200 \pi \mathrm{~cm}^{2} & \text { (b) } 300 \pi \mathrm{~cm}^{2} \\ \text { (c) } 100 \pi \mathrm{~cm}^{2} & \text { (d) } 10 \pi \mathrm{~cm}^{2}\end{array} \)

Find equation of straight line through \( (-1,4) \) and perpendicular to the line passing through \( (3,0) \) and \( (1,-2) \).

In a right triangle, the lengths of the legs are given as 12 units and 5 units. Use the Pythagorean theorem to find the length of the hypotenuse.

Soit \( A B C \) un triangle. Eet \( F \) deux points tel que: \( \overrightarrow{B E}=2 \overrightarrow{A C} \quad \) et \( \overrightarrow{C F}=\frac{1}{2} \overrightarrow{A B} \) 1) Construire les points \( E \) et \( F \). 2) Montrer que : \( \overrightarrow{A E}=\overrightarrow{A B}+2 \overrightarrow{A C} \quad \) et \( \overrightarrow{A F}=\frac{1}{2} \overrightarrow{A B}+\overrightarrow{A C} \)

111. The sum of the length, breadth and height of a cuboid is 38 cm and the length of its \( \vee \backslash \) diagonal is 22 cm . Find the surface area of the cuboid. Given : \( 1+b+h=38 \) and \( P^{2}+b^{2}+h^{2}=22^{2} \) To find : \( 2(l b+b h+h l) \)

6. ABCD is a quadrilateral, and AC and BD are its diagonals. Is \( \mathrm{AB}+\mathrm{BC}+\mathrm{CD}+\mathrm{DA}>\mathrm{AC}+\mathrm{BD} \) ? 7. ABCD is a quadrilateral and \( O \) is any point in its interior in the given figure Show that \( A B+B C+C D+D A<2(O A+O B+O C+O D) \).