Discussion
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- Question
If ax= by= cz and b2= ac , then what is 1x+1z equal to ?
Options- A. 1/y
- B. -1/y
- C. 2/y
- D. -2/y
- Correct Answer
- 2/y
- 1. What is (x-y)3+y-23+z-x33x-yy-zz-x =?
Options- A. 1
- B. 0
- C. 1/3
- D. 3 Discuss
- 2. What is the value 32cos 39sin 51-sin239 + sin251
Options- A. 1/2
- B. 5/2
- C. 0
- D. Both 1/2 and 5/2 Discuss
- 3. If cosec2 ? = 625/576 , then what is the value of [(sin ? ? cos ?)/(sin ? + cos ?)]?
Options- A. 1
- B. 31/17
- C. 17/31
- D. 14/25 Discuss
- 4. If x - 1/x = 1 then what is the value of 1x1x-1-1x+1+1x2+1-1x2-1?
Options- A. ±?5
- B. 2/5
- C. ±2/?5
- D. ±?5/2 Discuss
- 5. If x+y+z = 0, then what is the value of x23z+y33xz+z23x ?
Options- A. 0
- B. xz
- C. y
- D. 3y Discuss
- 6. If p and q are the roots of the equation x2 ?15x + r = 0 and p ?q = 1, then what is the value of r ?
Options- A. 55
- B. 56
- C. 60
- D. 64 Discuss
- 7. If 3 tan ? = cot ? where 0 < ? < ?/2 , then what is the value of ? ?
Options- A. ?/6
- B. ?/4
- C. ?/2
- D. 1 Discuss
- 8. What is the value of sin225°+ sin265° ?
Options- A. 0
- B. 1
- C. 2
- D. 4 Discuss
- 9. What is the value of sin6? + cos6? + 3 sin2? cos2? ?1 ?
Options- A. 0
- B. 1
- C. 2
- D. 4 Discuss
- 10. Consider the following for real numbers ?, ?, ? and ? ? 1) sec ? = 1/4 2) tan ? = 20 3) cosec ? = 1/2 4) cos ? = 2 How many of the above statements are not possible?
Options- A. one
- B. two
- C. three
- D. four Discuss
Simplification problems
Search Results
Correct Answer: 1
Correct Answer: Both 1/2 and 5/2
Correct Answer: 17/31
Correct Answer: ±2/?5
Correct Answer: y
Correct Answer: 56
Explanation:
In the below equation,
x2?15x + r = 0
sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)
product of roots = pq = r/1 = r (product of roots for equation ax2+ bx + c is c/a)
given p ?q = 1
also we know that p+q = 15
subtracting the squares of both
(p+q)2 + (p-q)2 = 15^2?1
p2 + q2 + 2pq ?p2 ?q2 +2pq = 225 -1
4pq = 224
4r = 224
r = 56
Correct Answer: ?/6
Explanation:
3tan ? = cot ?
3tan ? = 1/tan ?
tan2? = 1/3
tan ? = 1/?3
? = ?/6
Correct Answer: 1
Correct Answer: 0
Correct Answer: three
Explanation:
Sec of any number can never be less than 1
tan can take any value from -? to + ?
cosec of any number can never be less than 1
cos of any number can never be greater than 1
so option 1,3,4 are not possible
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