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- Question
P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?
Options- A. 1.5
- B. 2
- C. 2.5
- D. 3
- Correct Answer
- 2.5
- 1. In a triangle PQR, ?Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?
Options- A. 5
- B. 6
- C. 6.5
- D. 6?2 Discuss
- 2. If x = 4aba+b , then what is the value of x+2ax-2a+x+2bx-2b ?
Options- A. 0
- B. 2
- C. 4
- D. 1 Discuss
- 3. If 5+x+5-x5+x-5-x = 3 ,then what is the value of x ?
Options- A. 5/2
- B. 25/3
- C. 4
- D. 3 Discuss
- 4. For what value of k, the expression x6? 18x3 + k will be a perfect square?
Options- A. -9
- B. 81
- C. 9
- D. -81 Discuss
- 5. In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer. I. x2?5x ?24 = 0II. 2y2+ 19y + 35 = 0
Options- A. x > y
- B. x>y
- C. x < y
- D. x
Correct Answer:
Explanation:
x^2?5x ?24 = 0
(x-8) (x+3)
x = 8, -3
II. 2y^2+ 19y + 35 = 0
(2y+7) (y+7)y= -7, -5/2
So can?t be determined
- 6. If tan ? + cot ? = x, then what is the value of tan4? + cot4? ?
Options- A. (x3 ? 3)2 + 2
- B. (x4 ? 2x) + 4
- C. x2 (x2 ? 4) + 2
- D. x Discuss
- 7. If tan2? + cot2? = 2 , then what is the value of 2sec ? cosec ? ?
Options- A. 0
- B. 1
- C. 2
- D. 4 Discuss
- 8. The value of (0.3)2/100= ?
Options- A. 0.09
- B. 0.0009
- C. 0.009
- D. 0.9 Discuss
- 9. If x/y = 4/9, then what is the value of (7x2 ? 19xy + 11y2)/y2 ?
Options- A. 59/81
- B. 100/27
- C. 319/81
- D. 913/81 Discuss
- 10. If x ? 3 + [1/(x ? 3)] = 4, what is the value of [(x ? 3)3+ [1/(x ? 3)3] ?
Options- A. 14
- B. 18
- C. 52
- D. 76 Discuss
Simplification problems
Search Results
Correct Answer: 6.5
Correct Answer: 2
Correct Answer: 3
Correct Answer: 81
Correct Answer: x2 (x2 ? 4) + 2
Correct Answer: 4
Correct Answer: 0.0009
Correct Answer: 319/81
Correct Answer: 52
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