CBSE Class 10 Mathematics Quadratic Equations Worksheet Set A

Assertion & Reason

DIRECTIONS : Each of these questions contains an Assertion followed by Reason. Read them carefully and answer the question on the basis of following options. You have to select the one that best describes the two statements.
(a) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
(c) If Assertion is correct but Reason is incorrect.
(d) If Assertion is incorrect but Reason is correct.

Question. Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason : Circumference = 2π × radius.
Answer : A

Question. Assertion : If the outer and inner diameter of a circular path is 10m and 6m, then area of the path is 16π m².
Reason : If R and r be the radius of outer and inner circular path respectively then area of path = π (R² – r²).
Answer : A

Question. Assertion : If a wire of length 22 cm is bent in the shape of a circle, then area of the circle so formed is 40 cm².
Reason : Circumference of the circle = length of the wire.
Answer : D

Fill in the Blanks

DIRECTIONS : Complete the following statements with an appropriate word / term to be filled in the blank space(s).

Question. A sector of a circle is called a ................. sector if the minor arc of the circle is a part of its boundary.
Answer : minor

Question. The boundary of a sector consists of an arc of the circle and the two .................. .
Answer : radii

Question. The region enclosed by an arc and a chord is called the ................. of the circle.
Answer : segment

Question. Circumference of a circle is .................. .
Answer : 2πr.

Question. Area of a circle is .................. .
Answer : πr2

Question. Length of an arc of a sector of a circle with radius r and angle with degree measure θ is ................. .
Answer : θ / 360° X 2πr.

Question. The area of a circle is the measurement of the region enclosed by its ................. .
Answer : boundary

Question. If the area of a circle is 154 cm2, then its circumference is ................. .
Answer : 44 cm

Question. Area of a sector of a circle with radius 6 cm, if angle of the sector is 60°, is ................. .
Answer : 132/7 cm²

True / False

DIRECTIONS : Read the following statements and write your answer as true or false.

Question. A segment corresponding a major arc of a circle is known as the major segment.
Answer : True

Question. If the boundary of a segment is a minor arc of a circle, then the corresponding segment is called a minor segment.
Answer : True

Question. A minor sector has an angle ‘θ’ subtended at the centre of the circle, whereas a major sector has no angle.
Answer : True

Question. The perimeter of a circle is generally known as its circumference.
Answer : True

Question. Distance moved by a rotating wheel in one revolution is equal to the circumference of the wheel.
Answer : True

Question. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre, then the length of the arc is 22 cm.
Answer : True

Question. If the circumference of a circle is 88 cm, then its radius is 14 cm.
Answer : True

Question. The length of an arc of a sector of a circle of radius r units and of centre angle θ is θ / 360° X πr.
Answer : False

Question. The length of a rope by which a cow must be tethered in order that it may be able to graze of an area of 616cm2 is 18m.
Answer : False