Question
Find the area of the quadrilateral ABCD, the coordinates
of whose vertices are A(6,-3),B(-4,-2),C(3,1) and D(5,0)?Solution
Vertices: A(6,−3), B(−4,−2), C(3,1), D(5,0) Formula: Area = ½ × |x₁y₂ + x₂y₃ + x₃y₄ + x₄y₁ − (y₁x₂ + y₂x₃ + y₃x₄ + y₄x₁)| Apply values: = ½ × |6(−2) + (−4)(1) + 3(0) + 5(−3) − [ (−3)(−4) + (−2)(3) + 1(5) + 0(6) ]| = ½ × |−12 −4 + 0 −15 − (12 −6 +5 + 0)| = ½ × |−31 −11| = ½ × 42 = 21
Select the option that represents the letters that, when placed from left to right in the blanks, will complete the letter series.
T _ L M O _ J ...
Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series.
r _ _ _ s t _ ...
Select the number combination of letters that when placed sequentially in the blanks of the given series will complete the series.
_ E A _ D B E ...
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
A _ L _ U A P L _ U _ _ _ E U
Select the combination of letters that when sequentially placed in the blanks of the given series will make it logically complete.
DZL_G_JD_ZHDM_FDPZ_D
Select the combination of letter that when sequentially placed in the blanks of the given series will complete the series.
G _ _ J K _ H I J _ G ...
Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
c _ m _ y _o _ t _ c ...
Select the combination of letter when placed sequentially in the blanks of the given series will complete the series.
_ _ r d d _ f _ _ _ d x f m...
RQP, ONM, ____, IHG, FED, find the missing letters
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
OA, LG, IM, FS, (?)
...
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