Question
If tan θ + cot θ = 5, then the value of
tan2 θ + cot2 θ + 2tan2 60° is:Solution
tan θ + cot θ = 5 Squaring both sides ⇒ tan2 θ + cot2 θ + 2 tanθ cotθ = 25 ⇒ tan2 θ + cot2 θ = 25 - 2 ⇒ tan2 θ + cot2 θ = 23 tan2 θ + cot2 θ + 2 tan2 60° ⇒ 23 + 2 × (√3)2 ⇒ 23 + 2 × 3 ⇒ 29
Select the option in which the numbers are not related in the same way as the numbers of the following set.
(121, 144, 169)
If 51 @ 24 = 9' and 56 @ 22 = 8', then 72 @ 32 = ?'. What will come in place of question mark?
Select the option that is related to the fifth term in the same way as the second term is related to the first term and fourth term is related to third ...
- Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related t...
Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is relat...
Select the option that is related to the third number in the same way as the second number is related to first number and the sixth number is related to...
Choose the word which is different from the rest
Select the option that is related to third letter cluster in the same way as second letter cluster is related to first letter cluster.
CAT: JHA:: PUG: ?
Statements:
Only a few Rolex are Fastrack.
Only a few Rolex are Titan.
Only a few Timex are Fastrack.
Conclusions:
<...- Select the option that follows the same pattern.
1924 : 1935 :: 4536 : ? :: 7284 : 8395
Relevant for Exams:
