If the operation is defined by a b = a2 + b2 for all real numbers a and b, then (2 ⊕ 3) ⊕ 4 is equal to
120
185
175
129
B.
Given, a ⊕ b = a2 + b2∴ 2 ⊕ 3 ⊕ 4 = 22 + 32 ⊕ 4 = 4 + 9 ⊕ 4 = 13 ⊕ 4 = 132 + 42 = 169 + 16 = 185
If a, b, c are non-zero and different from 1, then the value of loga1logablogacloga1blogb1loga1cloga1clogaclogc1 is
0
1 + logaa + b + c
logaab + bc + ca
1
The value of sin-1223 + sin-113 is equal to
π6
π4
π2
2π3
If ab < 1 and cos-11 - a21 + a2 + cos-11 - b21 + b2 = 2tan-1x, then x is equal to
a1 + ab
a1 - ab
a + b1 + ab
a + b1 - ab
cos-1cos7π5 is equal to
3π5
2π5
- 7π5
7π5
The value of sec2tan-13 + csccot-12 is equal to
5
13
15
23
If a = i^ + 2j^ + 2k^, b = 5 and the angle between a and b is π6, then the area of the triangle formed by these two vectors as two sides is
154
152
1532
If a - b = 0 and a + b makes an angle of 60° with a, then
a = 2b
2a = b
a = 3b
3a = b
If i^ + j^, j^ + k^, i^ + k^ are the position vectors of the vertices of a ∆ABC taken in order, then ∠A is equal to
π5
π3
Let a = i^ - 2j^ + 3k^. If b is a vector such that a · b = b2 and a - b = 7, then b is equal to
7
3