Question
The quadrilateral, whose vertices are A (–1, 1), B
(0, –3), C (5, 2) and D (4, 6) is a:Solution
AB = √ (-1 - 0)2 + (1+3)2 = √ 17 BC= √ (0-5)2 + (-3 -2)2 = √ 50 CD = √ (5-4)2 + (2-6)2 = √ 17 DA = √ (4+1)2 + ( 6 - 1)2 = √ 50 Then AB = CD , and BC = DA Slope m 1 = AC = (y2 – y1)/(x2 – x1) = ( 2 - 1)/(5 + 1) = 1/6 And slope m 2 = BD = (y4 - y3)/(x4 - x3) = (6 + 3)/(4 – 0) = 9/4 Since m1 * m2 ≠ 1 then it is a parallelogram.
The boys and girls in a college are in the ratio 3:2. If 15% of the boys and 25% of the girls are adults, then adults are approximately how much % less ...
The ratio of land and water on the entire Earth is 1:2. If this ratio is 1:4 in the Northern Hemisphere, then what will be this ratio in the Southern He...
Monthly savings of ‘Q’ is 20% more than that of ‘P’ and is 48% less than monthly income of ‘P’. Monthly expenditure of ‘Q’ is Rs. 4260 a...
In a class, the ratio of students who passed to those who failed is 5:6. If 30 additional students had passed the exam, the ratio would shift to 17:16. ...
Ratio of males to females in village ‘A’ and village ‘B’ is 9:10 and 17:18, respectively and number of females in village ‘B’ is 25% more th...
There are three numbers: A, B, and C. It is given that 45% of A, (3/5) of B, and 1.5 times C are all equal. What is the ratio of A, B, and C?
If the number of coins in purse A and purse B is in the ratio 4:5, and the number of coins in purse C to purse D is in the ratio 3:4. Additionally, the ...
Average run per wicket of a bowler is 11.5. In his next innings bowler took 6 wickets and conceded 48 runs, thereby he reduced his bowling average by 1....
If p: q =1:3, q: r =2:1, r: s = 1:2, s: t =3:1 and t: u =1:4 then value of (p q r/s t u)3 =?
A boy is supposed to distribute Rs.2400 among his three friends P, Q and R in the ratio of 4:3:5 respectively, but mistakenly he distributed in the rati...
Relevant for Exams:
