Recent questions tagged ch-7

Two Concentric circles of radii 3 cm and 5 cm are given. The length chord BC Which touches the inner circle at P is equal to _____________

asked Jan 6, 2015 by meena.p

1 answer

In the figure If $AB =8\;cm$ and $PE= 3\;cm$ , then $AE$=________

asked Jan 6, 2015 by meena.p

1 answer

There are two concentric circles with center O. PR and PS are tangents to the inner circle from point on the circle. If $PR=7.5\;cm$, then $PS$=_______

asked Jan 6, 2015 by meena.p

1 answer

Two chords AB and CD of a circle intersect each other at a point E, inside the circle. If $AE= 3\;cm,CE=5\;cm$ and $EB= 4\;cm$, then $ED= $ __________

asked Jan 6, 2015 by meena.p

1 answer

O is the centre of the circle with radius 5 cm $OP \perp CD, OQ \perp CD , AB \parallel CD, AB= 6 \;cm$ and $CD= 8 \;cm$. Hence PQ is _________

asked Jan 6, 2015 by meena.p

1 answer

If A,B,C are three points on a circle with center O Such that $\angle AOB =90^{\circ}$ and $\angle BOC =120^{\circ}$ then $\angle ABC$ =_________

asked Jan 6, 2015 by meena.p

1 answer

Two circles with centers A and B of radii 3 cm and 4 cm respectively intersect at two points C and D such that AC and BC are tangents to the two circles. The length of the common chord CD is _________

asked Jan 6, 2015 by meena.p

1 answer

In the figure a circle with center O is inscribed in a quadrilateral ABCD such that, it touches BC,AB,AD and CD at points P,Q,R and S respectively . If $AB=29\;cm, AD= 23\;cm, \angle B=90^{\circ}$ and $DS=5 \;cm$ then the radius of the circle is

asked Jan 6, 2015 by meena.p

1 answer

In a circle with center O chords AB and CD intersect inside the circumference at E. Then $\angle AOC + \angle BOD$ = _______ $\angle AEC$

asked Jan 6, 2015 by meena.p

1 answer

AB and CD are two parallel chords of a circle with center O Such that $AB= 6\;cm$ and $CD= 12\;cm$ . The Chords are on the same side of the centre and the distance between them is $3\;cm$ The radius of the circle is

asked Jan 6, 2015 by meena.p

1 answer

The chord of a circle is equal to its radius. The angle subtended by this chord at the minor are of the circle is

asked Jan 6, 2015 by meena.p

1 answer

Given below are the steps of construction to draw a pain of tangents to a circle of radius 5 cm which are inclined to each other at an angle of $60^{\circ}$ Step 1 : Take a point O on the plane of the paper and draw a circle of radius $OA=5\;cm$. Step 2 : Produce $OA$ to $B$ Such that $OA= OB= 5\;cm$ Step 3 : Taking A as the centre draw a circle of radius $AO=AB=5\;cm$ . Suppose it cuts the circle draw in step I at P and Q . Step 4: join BP and BQ to get the desired target . Which of the above steps are in correct ?

asked Jan 6, 2015 by meena.p

1 answer

Given below are the steps of construction to draw a tangent with out using the center of the circle. Step 1: Draw any chord PQ through the given point P on the circle. Step 2: Take a point R on the circle and join P and Q to a point R. Step 3 : Construct $\angle QPY < \angle PRQ$ and on the opposite side of the chord PQ. Step 4: Produce YP to X to get YPX as the required tangent. Which of the above steps are correct ?

asked Jan 6, 2015 by meena.p

1 answer

Given below is the construction to draw a circle whose radius is 4 cm with center O and diameter POQ and through P or Q to draw a tangent to the circle. Which step is wrong in the construction ? Step 1 :Taking O as circle as center and radius equal to 4 cm draw a circle. Step 2: Draw diameter of POQ Step 3 : Construct $\angle PQT =45^{\circ}$ Step 4 : Produce TQ to T' obtain the required tangent TQT'

asked Jan 5, 2015 by meena.p

1 answer

The these sides of a triangle of a triangle ABC are 8 cm,10 cm and 12 cm. These circles are drawn with centres A,B and C each one touching the other two. The radii of circles are ___________

asked Jan 5, 2015 by meena.p

1 answer

In two concentric circles, a chord of length 24 cm of larger circle becomes a tangent to the smaller circle Whose radius is 5 cm. The radius of the larger circle is _________

asked Jan 5, 2015 by meena.p

1 answer

O is the center of a circle of radius 9 cm. A point P at a distance of 41 cm from O. The length of the tangent segment from P to the circle is _________

asked Jan 5, 2015 by meena.p

1 answer

ABC is a right angled triangle at A. A circle is inscribed in it. The length of two sides the right angle are 12 cm and 5 cm. The radius of the incirle is ______________

asked Jan 5, 2015 by meena.p

1 answer

Two circles of radii 6 cm and 14 cm have their centres 30 cm apart. The radius of the smallest circle which touches both of them and encloses the smaller circle is ____________

asked Jan 5, 2015 by meena.p

1 answer

Two circles with centre A and B and of radii 5 cm and 3 cm touch each other internally.If the perpendicular bisector of segment AB meets the bigger circle in P and Q,then the length of PQ is ___________

asked Jan 5, 2015 by sreemathi.v

1 answer

In the given figure TAS is a tangent to the circle,with centre O,at the point A.If $\angle OBA=32^{\large\circ}$,then the values of $x$ and $y$ are _____

asked Jan 5, 2015 by sreemathi.v

1 answer

In the given figure chords AB and CD of a circle intersect at O.AO=5 cm,BO=3 cm and CO=2.5 cm.Then the length of DO=______

asked Jan 5, 2015 by sreemathi.v

1 answer

Two triangles ABC and DEF are similar to each other in which AB = 10 cm and DE=8 cm.The ratio of the areas of $\Delta ABC$ and $\Delta DEF$ is _____

asked Jan 5, 2015 by sreemathi.v

1 answer

If E is a point on side CA of an equilateral $\Delta ABC$ such that $ BE \perp AC$, then $ AB^2 + BC^2 + CA^2 = K BE^2 $. Then the value of K is

asked Jan 5, 2015 by sreemathi.v

1 answer

ABCD is a rectangle in which BC=2AB.A point E lies on ray CD such that CE = 2BC.Then BE _____ AC.

asked Jan 5, 2015 by sreemathi.v

1 answer

ABCD is a parallelogram.AB is divided at P and CD at Q so that AP : PB = 3 : 2 and CQ : QD= 4 : 1.If PQ meets AC at R,then AR =____ AC.

asked Jan 5, 2015 by sreemathi.v

1 answer

In a $\Delta ABC$,AD is a median .X is a point on AD such that AX : XD = 2 : 3.Ray BX intersects AC in Y.Then BX=______ XY.

asked Jan 5, 2015 by sreemathi.v

1 answer

A point D is on the side BC of an equilateral triangle ABC such that $DC=\large\frac{1}{4}$$BC$.Then $AD^2$=____$CD^2$

asked Jan 5, 2015 by sreemathi.v

1 answer