HSC Arts कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Choose the correct alternative:
`1/(cos 80^circ) - sqrt(3)/(sin 80^circ)` = 

Choose the correct alternative:
If cos 28° + sin 28° = k³, then cos 17° is equal to

Choose the correct alternative:
`(1 + cos  pi/8) (1 + cos  (3pi)/8) (1 + cos  (5pi)/8) (1 + cos  (7pi)/8)` =

Choose the correct alternative:
If `pi < 2theta < (3pi)/2`, then `sqrt(2 + sqrt(2 + 2cos4theta)` equals to

Choose the correct alternative:
cos 1° + cos 2° + cos 3° + ... + cos 179° =

Choose the correct alternative:
Let fk(x) = `1/"k" [sin^"k" x + cos^"k" x]` where x ∈ R and k ≥ 1. Then f₄(x) − f₆(x) = 

Choose the correct alternative:
`(sin("A" - "B"))/(cos"A" cos"B") + (sin("B" - "C"))/(cos"B" cos"C") + (sin("C" - "A"))/(cos"C" cos"A")` is 

If `""^(("n"  – 1))"P"_3 : ""^"n""P"_4` = 1 : 10 find n

If `""^10"P"_("r" - 1)` = 2 × ⁶Pr, find r

Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?

Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?

Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?

A test consists of 10 multiple choice questions. In how many ways can the test be answered if each question has four choices?

A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?

A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?

A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.

What is the maximum number of different answers can the students give?

A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.

How will the answer change if each question may have more than one correct answers?

How many strings can be formed from the letters of the word ARTICLE, so that vowels occupy the even places?

8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?

8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?