Question
Consider two concentric circles having radii 17 cm and
15 cm. What is the length (in cm) of the chord, of the bigger circle, which is a tangent to the smaller circle?Solution
Given: Radius of circles r1= 15 cm r2= 17 cm Property of tangent - A tangent is perpendicular to the center of the circle. Property of chord - A perpendicular line drawn from the center of the circle to the chord of the circle always divide the chord in half. Applying the property of chord and tangent: We find that- 172 = 152+(x/2)2 289 = 225 +x2 /4 289 – 225 =x2 /4 x2 =256 x=16 Therefore, length of the chord = 16 cm.
- In the question below some statements are given followed by three conclusions I, II, and III. You have to take the given statements to be true even if they...
What is the shortest distance between S and U?
Statements:
Some bikes are cars.
Some cars are motors.
No motor is cycle.
Conclusions:
I. Some cycle are definitely b...
Statement:
Only a few bottles are Knives.
No Knife is a charger.
Only rings are Chargers.
Conclusion:
I. Some kni...
Statements-:
Every Rice is bread
65% breads are Tulsi
None of the Tulsi is sugar.
Conclusions-:
Some Rice is Tulsi
No breads are Sugar.
Statements:
No cabin is a room.
All rooms are houses.
No house is a flat.
Some flats are apartments.
Concl...
- Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance wi...
Conclusions: Some Tables can be Chair. Some Chairs being Sticks is a possibility. Some Walls can be Chairs.
Statements:
Only a few A is B
No B is C
Only a few C is D
Some D is E
Conclusions:
I). No A is C
Statement:
Some dogs are cats.
No lion is a dog.
Conclusions:
I. Some cats are lions.
II. Some cats are not lio...