Page 84 - Mathematics Class - IX

Assertion-Reason Based Questions
Assertion-Reason Based Questions
Directions for Questions 1 to 3: In each of the questions given below, there are two statements marked as
Assertion (A) and Reason (R). Mark your answer as per the codes provided below:
(a) Both A and R are true and R is the correct explanation of A.

(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Q. 1. Assertion (A) : If two right-circular cylinders of equal volume have their heights in the ratio of 1:2,

then the ratio of their radii is 21: .
Reason (R) : The height and radius of a cylinder are inversely proportional.
Q. 2. Assertion (A) : The area of a triangle can be expressed as one-half of the product of its base
and height.
Reason (R) : The height of a triangle is the perpendicular distance from its base to its
opposite vertex.
Q. 3. Assertion (A) : The volume and surface area of a sphere are related to each other by radius.
Reason (R) : The relation between the surface area ‘S’ and volume ‘V’ is S = 36pV .
3
2

Crossword Puzzles
Crossword Puzzles
Complete the following crossword puzzles.

1.
Down

1. A cylinder has two ___________ bases.

2. A cone has ___________ surface area.
2. 3. A sphere is a ___________ dimensional figure.

5. A sphere has only ___________ curved surface.
3.
Across
4. 5.
3. Diameter of circle = ___________ × radius of circle.

6. 4. A cylinder has ___________ vertices.

6. A football is an example of ___________.

Answers
Case-Study Based Questions: 1. (iv) 2. (ii) 3. (ii) 4. (ii)

Assertion-Reason Based Questions: 1. (c) 2. (b) 3. (a)

Crossword: Down: 1. circular 2. two 3. three 5. one
Across: 3. two 4. zero 6. sphere

82