Question
Determine the area of the triangle whose vertices lie on
the co-ordinates (2, 4), (4, 2), (-2, -5)Solution
ATQ, Let, a1 = 2, a2 = 4, a3 = -2, b1 = 4, b2 = 2 and b3 = -5 Area of triangle = (1/2) × |{a1 × (b2 - b3)} + {a2 × (b3 - b1)} + {a3 × (b1 - b2 )}| So, required area = (1/2) × |{2 × (2 - (-5))} + {4 × (-5 - 4) + {-2 × (4 - 2)} = (1/2) × |14 - 36 - 4| = (1/2) × 26 = 13 square units
Given below an equation having four blanks you have to check from the alternatives which among the given is correct?
21 _ 51 _ 7 _ 12 _ 75
After interchanging the given two signs, what will be the value of the given equation?
X and –
64 + 15 ÷ 90 - 120 X 17
Select the correct combination of mathematical signs that can sequentially replace the “@” sign and balance the following equation.
16@5@4@2@...
If the ‘-’ and ‘×’ are interchanged, What will be the value of the following equation?
34 × 22 + 192 ÷ 12 – 8
...Which among the given operators should replace the “%” (in the same order) in the given expression below:
5 % 10 % 5 % 36 % 15 % 6
What will be the value of expression if the numbers/digits ‘(30)’ and ‘(13)’ are interchanged?
78 ÷ 30 × 6 + 13 - 14 + 12
...Select the correct combination of mathematical signs that can sequentially replace the sign * and make the equation correct.
3 * 12 * 4 * 5 * 4 * 116
Out of the total number of players, 100/3 % are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the...
Which two signs need to be interchanged to make the following equation correct?
75 – 18 × 80 ÷ 16 + 40 = 125
Select the correct combination of the mathematical signs to replace the ‘@’ symbols in the below equation and thereby balance it:
81@9@5@30@1...
