2010014205 Level: AA straight line p is given by the point A and the normal vector n→ (see the picture). Find its equation in general form.p:2x+5y−4=0p:5x−2y=0p:5x−2y−10=0p:2x+5y+33=0
2010014202 Level: ADetermine the relative position of the lines p:6x+4y+8=0 and q:y=−32x+2.parallel different lines, p∥q; p≠qintersecting lines, p∩q={[0;−2]}intersecting lines, p∩q={[0;2]}identical lines, p=q
2010014201 Level: AFind the value of a parameter a, such that the line ax−4y−12=0 is parallel to the line y=−32x+4.a=−6a=−32a=4a=23
2000014110 Level: AIdentify which of the following equalities is not equivalent to the equality 4x=9.x=2log29x=log23x=log49x=2log43
2010014004 Level: AFirst five terms of four sequences are given. One of these sequences is not a geometric sequence. Choose this sequence.13,16,19,112,1152,−2,2,−2,27,7,7,7,71,4,42,43,44
2010014003 Level: AFirst five terms of four sequences are given. One of these sequences is not a geometric sequence. Choose this sequence.12,14,16,18,1101,−1,1,−1,12,2,2,2,26,12,24,48,96
2000014011 Level: AThe picture shows a part of the graph of a geometric sequence. What is the common ratio of the geometric sequence?−12−212(−12)n
2010014010 Level: AA sequence of patterns uses grey and purple squares. Identify the false statement about the numbers of squares in the patterns.The numbers of grey squares in patterns do not form a geometric sequence.The numbers of purple squares in patterns form a geometric sequence with an even common ratio.The numbers of purple squares in patterns form a geometric sequence with a positive common ratio.The numbers of grey squares in patterns form a geometric sequence with an even common ratio.
2010014009 Level: AA sequence of patterns uses grey and purple squares. Identify the false statement about the numbers of squares in the patterns.The numbers of purple squares in patterns form a geometric sequence with an even common ratio.The numbers of purple squares in patterns form a geometric sequence with a positive common ratioThe numbers of grey squares in patterns form a geometric sequence with a positive common ratio.The numbers of grey squares in patterns form a geometric sequence with an even common ratio.
2010014008 Level: AThe picture shows first three patterns formed by green dots. The numbers of dots in patterns correspond to terms of a geometric sequence. To which term corresponds a pattern that will use 640 dots?EighthSeventhTenthNineth