Trigonometry solutions

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Trigonometry solutions



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Exponents

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                               EXPONENTS Exponents - An exponent refers to a number that how many times to use the number in a mathematical operation like multiplication, division etc.  Exponents is also termed as power.  Power - An expression that represents repeated multiplication of the same number is called a power. Special cases when the exponent is 0 or 1 :- Case 1.  When the power is 0 a^0 = 1 67^0 = 1 Case 2. When the power is 1  a^1 = a 9^1 = 9                     Laws of Exponents The following identities hold for all integer exponents :- Practice Questions:- 1.Find out the value of (2/5) 3  ?   2.What is the power of a number when squared? 3. Simplify: (3/2) 2  + (2/3) 2  + (5/4) 2 4.  If 4 x  = 64, then 3 2x  = ? 5. Divide x 5  by x 2   ...
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Class 10th Maths PYQs and Important Questions

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Maths Series for Class 10th    Maths PYQs and Practice questions for  Class 10th  Important for Board Exams  MCQs  Q. If a pair of linear equations is consistent, then the lines will be (a) always coincident (b) parallel (c) always intersecting (d) intersecting or coincident Ans. (d) intersecting or coincident Q. The addition of a rational number and an irrational number is equal to: (a) rational number (b) Irrational number (c) Both (d) None of the above Answer: (b)   Irrational number Q.  If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively (a) 6, -1 (b) 2, 3 (c) 1, 4 (d) 19/5,  6/5 Ans. (d) 19/5,  6/5 Q. The pair of equations 5x – 15y = 8 and 3x – 9y = 24/5 has (a) one solution  (b) two solutions  (c) infinitely many solutions (d) no solution Answer:   (c) infinitely many solutions Q. Bharat has only ₹1 and ₹2 coins with him. If the tota...
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Ratio and proportion

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Q. 1. If a : b = 7 : 9 and b : c =15 : 7, then what is a : c A) 5 : 3 B) 3 : 5 C) 7 : 21 D) 7 : 15 Q. 2. ₹ 6200 is divided into three parts proportional to 1/2 : 1/3 : 1/5 are respectively A) ₹3000, ₹2000, ₹1200 B) ₹3500, ₹1500, ₹1200 C) ₹2500, ₹2000, ₹1700 D) ₹2200,  ₹3000,  ₹1000   Q. 3. The ratio of A to B is 4 : 5 and that of B to C is 2 : 3.If A equals 800,C equals A) 1000 B) 1200 C) 1500 D) 2000 Q. 4. If A = 4/5 of B and B = 5/2 of C, then the ratio of A : C is  A) 1 : 2 B) 2 : 1 C) 2 : 3 D) 1 : 3 Q. 5. If 2A=3B=4C, then A:B:C is A) 2 : 3 : 4 B) 4 : 3 : 2 C) 6 : 4 : 3 D) 3 : 4 : 6 Q. 6. If (3x + 5)/(5x - 2) = 2/3, then the  value of x is  A) 11 B) 19 C) 23 D) 7 Q. 7. What must be added to each term of the ratio 2 : 5 so that it may equal to 5 : 6 ? A) 65 B) 78 C) 13 D) 12 Q. 8. If x/y = 3/4, the ratio of (2x +3y) and (3y - 2x) is A) 2 : 1 B) 3 : 2 C) 1 : 1 D) 3 : 1 Q. 9. Two numbers are in the ratio 4 : 5 and their L.C.M. is 180. The smaller numb...
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