Question
Participants will have to learn any one of the Indian
dance forms in the first year, yoga in the second year and any Indian martial art of the final year. In each question below, four words are printed in bold type. One of these words given in bold may be either wrongly spelt or inappropriate in the context of the sentence. Find out the word that is inappropriate or wrongly spelt, if there is any. That word is your answer. If the sentence is correct as it is and ‘No correction is required’, mark 5) as the answer.Solution
‘in’ instead of ‘of’. OF shows possession, where as IN is a preposition of place/position indicating the time when the martial art will be learnt.
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 cot 14˚  ...If (sin A + cos A) = √3 cos (90° - A), then find the value of cot A.
- If 2cos²A + 3sin²A = 13/5, then find the value of (sec²A - 1)
If sin (2x + 50) o = cos (2y - 50) o, such that, 0o < x + y < 90o, then find the value of tan(x + y) .
- If sin(A + B) = √3/2 and cos(A + 2B) = 0, where 0° < A, B < 90°, then find the value of tan(2A).
If cos 2A = 1, then find cos A
What is the simplified value of the given expression?
3(sin² 50° + sin² 40°) + 6sin 30° - (3sec 60° + cot 45°)
Find the value of `1/2`  cosec 10  - `2/(cosec 70)`  ?
Find the maximum value of 20 sin A + 9 cos A.
- If sin (3A − 4B) = (1/2) and cos (A + B) = (√2/2), where 0° < A, B < 90°, then find the value of ‘A’.