SSC Board Practice

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SSC Grade X - Tangents and Secants to a Circle

Question 1

1.	Which of the following statements are true?
	a) If two circles touch externally, their centres and the point of contact form an isosceles triangle. b) If two circles touch externally, the square of the distance between their centres is the sum of the squares of their radii. c) If two circles touch externally, the distance between their centres is the sum of their radii. d) If two circles touch internally, the distance between their centres is the difference of their radii. e) If two circles touch internally, their centres and the point of contact form a scalene triangle. f) If two circles touch internally, the square of the distance between their centres is the difference of the squares of their radii.
	{a,d,c} {c,d} {b,d} {a,c} {e,f,c}

Question 2

2.	Which of the following statements are true?
	a) A circle divides the plane into three mutually disjoint sets of points. b) All diameters of a circle are chords. c) All chords of a circle are diameters. d) π is a rational number. e) 22 7 is a rational number.
	{c,a} {d,b} {c,a,b} {a,b,e} {c,d,e}

Question 3

3.	The chords of the circle are
	DE     ,   EF     ,   FG     ,   GH     ,   HD     ,   IF       ID     ,   IE     ,   IF     ,   IG     ,   IH       DE     ,   EF     ,   FG     ,   GH     ,   HD       EF     ,   FG     ,   GH     ,   HD       DE     ,   EF     ,   FG     ,   GH     ,   HD     ,   FH

Question 4

4.	Which of the following statements are true?
	a) Atmost one circle can be drawn passing through three non-collinear points. b) Infinite circles can be drawn passing through three collinear points. c) Only one circle can be drawn with a centre. d) Only one circle can be drawn passing through two points. e) Exactly two tangents can be drawn parallel to a secant.
	{b,a} {c,e} {c,e,a} {d,b,a} {a,e}

Question 5

5.	In the given figure, O is the centre of the circle and EF is the tangent at B. If ∠CBD = 31° and ∠EBC = 45°, find ∠DBF
	104° 114° 134° 109° 119°

Question 6

6.	Find the area of the shaded region
	45.21 sq.cm 43.21 sq.cm 48.21 sq.cm 53.21 sq.cm 51.21 sq.cm

Question 7

7.	In the below figure, BPQA is a quadrant of a circle. AB = 17.00 cm and BC = 10 cm . Find the area of the shaded region
	142.07 sq.cm 154.07 sq.cm 145.07 sq.cm 128.07 sq.cm 135.07 sq.cm

Question 8

8.	O is the centre of the circle. If ∠BDC = 44° and ∠DBE = 42°, find y°, z°
	48°, 46° 38°, 46° 78°, 66° 58°, 56° 46°, 48°

Question 9

9.	The diameters of the circle are
	GH     ,   HI     ,   IJ     ,   JK     ,   KL     ,   LM     ,   MG     ,   KM       NG     ,   NH     ,   NI     ,   NJ     ,   NK     ,   NL     ,   NM       NG     ,   NH     ,   NI     ,   NJ     ,   NK     ,   NL     ,   NM     ,   KM       KM       GH     ,   HI     ,   IJ     ,   JK     ,   KL     ,   LM     ,   MG

Question 10

10.	In the below figure, AB is the diameter of a circle with center O and OA = 19.00 cm . Find the area of the shaded region
	517.93 sq.cm 474.93 sq.cm 502.93 sq.cm 486.93 sq.cm 489.93 sq.cm

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