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Explore conceptually related problems

There are 6 books on mathematics, 4 books on physics and 5 books on chemistry in a book shop. The number of ways can a student purchase either a book on mathematics or a book on chemistry, is

In a certain college 25% boys and 10% girls are studying mathematics the girls constitute 60% of the student body. What is the probability that mathematics is being studied ?

There are 10 candidates for an examination out of which 4 are appearing in Mathematics and remaining 6 are appearing indifferent subjects. In how many ways can they be seated in a row so that no two Mathematics candidates are together?

Write the negation of the following statements: s: All students study mathematics at the elementary level.

There are 3 books on Mathematics ,4 on physics and 5 on English , Howm any different collections can be made such that each collection consists ?

Out of 100 students, 15 passed in English, 12 passed in Mathematics, 7 in Mathematics and Science, 4 in English and Science, 4 in all the three. Find how many passed. In Mathematics only.

Out of 100 students, 15 passed in English, 12 passed in Mathematics, 7 in Mathematics and Science, 4 in English and Science, 4 in all the three. Find how many passed. In more than one subject only.

Out of 100 students, 15 passed in English, 12 passed in Mathematics, 7 in Mathematics and Science, 4 in English and Science, 4 in all the three. Find how many passed. In Mathematics and Science but not in English.

In a college, 30% students fail in physics, 25% fail in mathematics and 10% fail in both. One student is chosen at random. The probability that she fails in physics if she has failed in mathematics is ……….

The marks distribution of 30 students in a mathematics examination are given in Table 3 of Example 1 . Find the mode of this data.

KUMAR PRAKASHAN-INVERSE TRIGONOMETRIC FUNCTIONS-PRACTICE WORK
  1. Prove the following : tan^(-1)(1/3)+1/2("tan"^(-1)1/7)=pi/8

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  2. Prove the following : 2cot^(-1)(2)+cosec^(-1)(5/3)=pi/2

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  3. Prove the following : sin^(-1)(12/13)+cos^(-1)(4/5)+tan^(-1)(63/16)=...

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  4. Prove the following : 2sin^(-1)(5/13)=cos^(-1)(119/169)

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  5. Prove the following : "sin"^(-1)3/5+"cos"^(-1)4/5=cot^(-1)(7/24)

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  6. Prove the followings : "cot"^(-1)(ab+1)/(a-b)+"cot"^(-1)(bc+1)/(b-c)...

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  7. Prove the followings : If cos^(-1)a+cos^(-1)b+cos^(-1)c=pi then a^(2...

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  8. Prove the followings : If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi then x+y+...

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  9. Prove the followings : If "cos"^(-1)x/2+"cos"^(-1)y/3=theta then 9x^...

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  10. about to only mathematics

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  11. Prove the followings : cot^(-1)((sqrt(1+x^(2))-1)/x)=pi/2-1/2tan^(-1...

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  12. Prove the followings : If tan^(-1)((yz)/(xr))+tan^(-1)((zx)/(yr))+ta...

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  13. Prove the followings : If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi then xsqr...

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  14. Prove the followings : If 0ltxlt1andtan^(-1)(1-x),tan^(-1)xandtan^(-...

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  15. Prove the followings : tan(pi/4+1/2"cos"^(-1)a/b)+tan(pi/4-1/2"cos"^...

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  16. Solve the following equations : tan^(-1)(2x)+tan^(-1)(3x)=pi/4

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  17. Solve the following equations : tan^(-1)(1)+cos^(-1)(1/sqrt2)=sin^(-...

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  18. Solve the following equations : sin^(-1)(5/x)+sin^(-1)(12/x)=pi/2

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  19. Solve the following equations : sin^(-1)x+cos^(-1)(2x)=pi/6

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  20. Solve the following equations : cos^(-1)(sqrt3x)+cos^(-1)x=pi/2

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