1 The points \( A \) and \( B \) have coordinates \( (-1,10) \) and \( (5,1) \) respectively. The straight line \( L \) has equation \( 2 x-3 y+6=0 \). a) The line \( L \) intersects the line \( A B \) at the point \( C \). Find the coordinates of \( C \). b) Determine the ratio in which the line \( L \) divides the line \( A B \). c) The line \( L \) crosses the \( x \)-axis at the point \( D \). Find the coordinates of \( D \). d) i) Show that \( L \) is perpendicular to \( A B \). ii) Calculate the area of the triangle \( A C D \).

১৯. সামান্তরিকের ক্ষেত্রফল নির্ণয়ের সূত্রটি লেখ।

Define la diferencia entre un arco mayor y un arco menor en un círculo.

The cylindrical sleeve shown above was made according to all the specifications on its drawing. However, it is found to be off- center. What type of geometric tolerance might this part fall outside of?Concentricity Cylindricity Straightness Limit Angularity

Вариант 8. № 1. Построить линии, заданные следующими уравнениями: 1) \( x^{2}=1-y^{2} \); 2) \( x=5 ; \) 3) \( 4 y+y^{2}+2 x=0 \) 4) \( y^{2}+4-x^{2}=0 \)

WJEC June 2017 Q6 The coordinates of the points \( F \) and \( G \) are \( (8,20) \) and \( (-4,10) \) respectively. (a) Calculate the length of the line FG. Express your answer as a surd in its simplest form, \( n \sqrt{m} \).