(a) Both statements are true.
(b) Both statements are false.
(c) Statement 1 is true and Statement 2 is false.
(d) Statement 1 is false and Statement 2 is true.
(a) Both statements are true.
Explanation:
The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. It is equidistant from all three vertices. Therefore, Statement 1 is true.
The incentre is the point of intersection of the three internal angle bisectors of a triangle. Therefore, Statement 2 is also true.
More ICSE Easy level questions
Using ruler and compass, construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.
Using ruler and compass, construct △ABC where AB = 6 cm, AC = 4.5 cm and ∠BAC = 120°. Construct the circle circumscribing △ABC. Measure and write the radius of the circle.
The circumcentre of a triangle is a point which is: (a) at an equal distance from the three sides of the triangle. (b) at an equal distance from the three vertices of the triangle. (c) the point of intersection of the medians. (d) the point of intersection of the altitudes.
If A = , then A² is equal to: (a) (b) (c) (d)
Mr Anuj deposits ₹500 per month for 18 months in a recurring deposit account at a certain rate. If he earns ₹570 as interest at the time of maturity, then his matured amount is: (a) ₹(500 × 18 + 570) (b) ₹(500 × 19 + 570) (c) ₹(500 × 18 × 19 + 570) (d) ₹(500 × 9 × 19 + 570)
The equation of the line passing through the origin and parallel to the line 3x + 4y + 7 = 0 is: (a) 3x + 4y + 5 = 0 (b) 4x − 3y − 5 = 0 (c) 4x − 3y = 0 (d) 3x + 4y = 0
If the volumes of two spheres are in the ratio 27 : 64, then the ratio of their radii is: (a) 3 : 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9
The marked price of an article is ₹1,375. If CGST is charged at the rate of 4%, then the price of the article including GST is: (a) ₹55 (b) ₹110 (c) ₹1,430 (d) ₹1,485
Which of the following cannot be the probability of an event? (a) (b) 0.25 (c) (d) 67%
Assertion (A): The mean of the first 9 natural numbers is 4.5. Reason (R): Mean = (a) A is true, R is false. (b) A is false, R is true. (c) Both A and R are true, and R is the correct reason for A. (d) Both A and R are true, and R is not the correct reason for A.
Ms. Sushmita went to a fair and participated in a game. A box contained number cards numbered from 01 to 30. The prizes were awarded as follows: Prize Number on the card drawn at random is a Wall clock Perfect square Water bottle Even number which is also a multiple of 3 Purse Prime number Find the probability of winning: (a) a wall clock. (b) a water bottle. (c) a purse.
(x + 3), 1, (3x − 7) and −5 are in proportion. The value of x is : (a) −1 (b) 1 (c) −5 (d) 5
