SSC CGL 2022151)Two equal circles of radius 8 cm intersect each other in such a way that each passes through the centre of the other. The length of the common chord is:

Correct Option: C

\(8\sqrt3 cm \)

SSC CGL 2022152)A chord of length 42 cm is drawn in a circle of diameter 58 cm. Another chord of length 40 cm is drawn parallel to the chord of length 42 cm. Find the difference between the distances of the two chords from the centre.

Correct Option: B

1 cm

SSC CGL 2022153)The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:

Correct Option: B

13 cm

SSC CGL 2022154)Select the INCORRECT statement with respect to the properties of a circle.

Correct Option: D

The perpendicular distance from the centre of a circle increases when the length of a chord increases.

SSC CGL 2022155)The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?

Correct Option: D

35 cm

SSC CGL 2022156)The hour hand moves through 4 hours and has a length of 6 cm. Find the area (in cm

^{2}, rounded off to two decimal places) of the sector covered by the hour hand.

Correct Option: A

37.71

SSC CGL 2022157)Radius of a circle is 5 cm. Length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?

Correct Option: C

4 cm

SSC CGL 2022158)If C

_{1}, C_{2}be the centres of two circles and r_{1}, r_{2}be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.

Correct Option: D

3

SSC CGL 2022159)If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:

Correct Option: C

24 cm

SSC CGL 2022160)The diameters of two circles are 12 cm and 20 cm, respectively and the distance between their centres is 16 cm. Find the number of common tangents to the circles.

Correct Option: B

3

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