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Class 10 Math Tangent to a Circle


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Class 9Class 10First YearSecond Year
(viii)Acirclehasonlyone:(a)secant(b)chord(c)diameter(d)centre(viii) A circle has only one:(a) secant(b) chord(c) diameter(d) centre

Example 1: \overline{A B} is a diameter of a given circle with centre O . Tangents are drawn at the end points A and B . Show that the two tangents are parallel.NOT FOR SALE - PESRP193Mathematics 10
Example 1:  \overline{A B}  is a diameter of a given circle with centre  O . Tangents are drawn at the end points  A  and  B . Show that the two tangents are parallel.NOT FOR SALE - PESRP193Mathematics 10

Example1:ABisadiameterofagivencirclewithcentreO.TangentsaredrawnattheendpointsAandB.Showthatthetwotangentsareparallel.NOTFORSALEPESRP193Mathematics10Example 1: \overline{A B} is a diameter of a given circle with centre O . Tangents are drawn at the end points A and B . Show that the two tangents are parallel.NOT FOR SALE - PESRP193Mathematics 10

2. The diameters of two concentric circles are 10 \mathrm{~cm} and 5 \mathrm{~cm} respectively. Look for the length of any chord of the outer circle which touches the inner one.(Hint) From the figure
2. The diameters of two concentric circles are  10 \mathrm{~cm}  and  5 \mathrm{~cm}  respectively. Look for the length of any chord of the outer circle which touches the inner one.(Hint) From the figure

2.Thediametersoftwoconcentriccirclesare10 cmand5 cmrespectively.Lookforthelengthofanychordoftheoutercirclewhichtouchestheinnerone.(Hint)Fromthefigure2. The diameters of two concentric circles are 10 \mathrm{~cm} and 5 \mathrm{~cm} respectively. Look for the length of any chord of the outer circle which touches the inner one.(Hint) From the figure

2. The radius of a circle is 2.5 \mathrm{~cm} . \overline{A B} and \overline{C D} are two chords 3.9 \mathrm{~cm} apart. If m \overline{A B}=1.4 \mathrm{~cm} then measure the other chord.
2. The radius of a circle is  2.5 \mathrm{~cm} . \overline{A B}  and  \overline{C D}  are two chords  3.9 \mathrm{~cm}  apart. If  m \overline{A B}=1.4 \mathrm{~cm}  then measure the other chord.

2.Theradiusofacircleis2.5 cm.ABandCDaretwochords3.9 cmapart.IfmAB=1.4 cmthenmeasuretheotherchord.2. The radius of a circle is 2.5 \mathrm{~cm} . \overline{A B} and \overline{C D} are two chords 3.9 \mathrm{~cm} apart. If m \overline{A B}=1.4 \mathrm{~cm} then measure the other chord.

(iv) In the adjacent figure find half the perimeter of circle with centre O if \pi \simeq 3.1416 and m \overline{O A}=20 \mathrm{~cm} .(a) 31.42 \mathrm{~cm} (b) 62.832 \mathrm{~cm} (c) 125.65 \mathrm{~cm} (d) 188.50 \mathrm{~cm}
(iv) In the adjacent figure find half the perimeter of circle with centre  O  if  \pi \simeq 3.1416  and  m \overline{O A}=20 \mathrm{~cm} .(a)   31.42 \mathrm{~cm} (b)   62.832 \mathrm{~cm} (c)  125.65 \mathrm{~cm} (d)   188.50 \mathrm{~cm}

(iv)IntheadjacentfigurefindhalftheperimeterofcirclewithcentreOifπ3.1416andmOA=20 cm.(a)31.42 cm(b)62.832 cm(c)125.65 cm(d)188.50 cm(iv) In the adjacent figure find half the perimeter of circle with centre O if \pi \simeq 3.1416 and m \overline{O A}=20 \mathrm{~cm} .(a) 31.42 \mathrm{~cm} (b) 62.832 \mathrm{~cm} (c) 125.65 \mathrm{~cm} (d) 188.50 \mathrm{~cm}

(x) Tangents drawn at the ends of diameter of a circle are ...... to each other.(a) parallel(b) non-parallel(c) collinear(d) perpendicular
(x) Tangents drawn at the ends of diameter of a circle are ...... to each other.(a) parallel(b) non-parallel(c) collinear(d) perpendicular

(x)Tangentsdrawnattheendsofdiameterofacircleare......toeachother.(a)parallel(b)nonparallel(c)collinear(d)perpendicular(x) Tangents drawn at the ends of diameter of a circle are ...... to each other.(a) parallel(b) non-parallel(c) collinear(d) perpendicular

1. \overline{A B} and \overline{C D} are two equal chords in a circle with centre O . H and K are respectively the mid points of the chords. Prove that \overline{H K} makes equal angles with \overline{A B} and \overline{C D} .
1.  \overline{A B}  and  \overline{C D}  are two equal chords in a circle with centre  O . H  and  K  are respectively the mid points of the chords. Prove that  \overline{H K}  makes equal angles with  \overline{A B}  and  \overline{C D} .

1.ABandCDaretwoequalchordsinacirclewithcentreO.HandKarerespectivelythemidpointsofthechords.ProvethatHKmakesequalangleswithABandCD.1. \overline{A B} and \overline{C D} are two equal chords in a circle with centre O . H and K are respectively the mid points of the chords. Prove that \overline{H K} makes equal angles with \overline{A B} and \overline{C D} .

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