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- Question
PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ?PTQ?
Options- A. 55
- B. 60
- C. 70
- D. 90
- Correct Answer
- 70
- 1. ABC is a right angled triangle in which ?A = 90°, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse?
Options- A. 145
- B. 290
- C. 435
- D. 580 Discuss
- 2. Consider the following inequalities in respect of any triangle ABC: 1) AC ?AB < BC 2) BC ?AC < AB 3) AB ?BC < AC Which of the above are correct?
Options- A. 1 and 2 only
- B. 2 and 2 only
- C. 1 and 3 only
- D. 1, 2 and 3 Discuss
- 3. Consider the following statements: 1) The number of circles that can be drawn through three non-collinear points is infinity. 2) Angle formed in minor segment of a circle is acute. Which of the above statements is/are correct?
Options- A. 1 only
- B. 2 only
- C. Both 1 and 2
- D. Neither 1 nor 2 Discuss
- 4. Consider the following statements: 1) The number of circles that can be drawn through three non-collinear points is infinity. 2) Angle formed in minor segment of a circle is acute. Which of the above statements is/are correct?
Options- A. 1 only
- B. 2 only
- C. Both 1 and 2
- D. Neither 1 nor 2 Discuss
- 5. Consider the following statements: 1) An isosceles trapezium is always cyclic. 2) Any cyclic parallelogram is a rectangle. Which of the above statements is/are correct?
Options- A. 1 only
- B. 2 only
- C. Both 1 and 2
- D. Neither 1 nor 2 Discuss
- 6. The diagonal of a square is 10 cm. What is the length (in cm) of its side?
Options- A. 5
- B. 5?2
- C. 10?2
- D. 5/?2 Discuss
- 7. Point A divides segment BC in the ratio 5:1. Co-ordinates of B are (6 ,-4) and C are (0,8). What are the co-ordinates of point A?
Options- A. (-1 , 6)
- B. (1 , -6)
- C. (-1 , -6)
- D. (1 , 6) Discuss
- 8. What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x =2, y = -2 and y = 3?
Options- A. 12
- B. 24
- C. 15
- D. 60 Discuss
- 9. AB is a chord of the circle and its center is ?O?. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2?11) cm, find the radius (in cm) of the circle.
Options- A. 10
- B. 12
- C. 13
- D. 15 Discuss
- 10. The largest chord of the circle has a length of 20.4 cm. The radius of the circle will be_____.
Options- A. 10.2 cm
- B. greater than 10.2 cm
- C. greater than and equal to 10.2 cm
- D. less than 10.2 cm Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 290
Correct Answer: 1, 2 and 3
Explanation:
AC-AB<BC Or AB+BC>AC
BC-AC<AB Or AB+AC>BC
AB-BC<AC Or AC+BC>AB
Sum of 2 sides of triangle is always greater than the third side
So all three statements are true
Correct Answer: Neither 1 nor 2
Explanation:
(1)
Only one circle can be drawn through 3 non collinear points
Angle in the minor segment is always obtuse
Correct Answer: Neither 1 nor 2
Explanation:
(1)
Only one circle can be drawn through 3 non collinear points
Angle in the minor segment is always obtuse
Correct Answer: Both 1 and 2
Explanation:
Since it is an isosceles trapezium
So angle C = angle D = x
let A = 180 ?D = 180 ?x (since AB is parallel to CD)
B = 180-x
A+C = 180 ?x + x = 180 degrees (Property of cyclic quadrilateral)
ABCD is cyclic parallelogram with AB // CD and AD // BC
Considering angles A = C = y (Property of parallelogram) and B=D = x Also since it is cyclic A+C = B+D = 180 degrees
So x=y=90 degrees And also opposite sides are equal being a parallelogram
Thus ABCD is a rectangle
Correct Answer: 5?2
Correct Answer: (1 , 6)
Correct Answer: 15
Correct Answer: 12
Correct Answer: 10.2 cm
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