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Questions asked by sreemathi.v

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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

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

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

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

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

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

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

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

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

1 answer

ABC is a right angled triangle at A.BL and CM are its two medians,then $4(BL^2+CM^2)=$_______

asked Jan 5, 2015

1 answer

If one diagonal of a trapezium divides the other diagonal in the ratio 1 : 2,then one of the parallel sides is ______ the other.

asked Jan 3, 2015

1 answer

The perpendicular AD on the base BC of a $\Delta ABC$ intersects BC at D such that DB=3CD.Then $2(AB^2-AC^2)=$______

asked Jan 3, 2015

1 answer

In $\Delta ABC$.the bisector of $\angle A$ intersects BC in D.If AB=18 cm,AC=15 cm and BC=22 cm then BD=_____

asked Jan 3, 2015

1 answer

In $\Delta ABC$,P and Q are points on sides AB and AC respectively such that $PQ\parallel BC$.If AP=4 cm,PB=6 cm and PQ=3 cm,then BC is ____

asked Jan 3, 2015

1 answer

$\Delta ABC$ and $\Delta DBC$ are on the same base BC.Then $\large\frac{ar\;\Delta ABC}{ar\;\Delta DBC}$=______

asked Jan 3, 2015

1 answer

In a $\Delta ABC,\angle BCA=90^{\large\circ}$ and Q is the midpoint of BC.Then $AB^2+3AC^2=$______

asked Jan 3, 2015

1 answer

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

asked Jan 3, 2015

1 answer

In $\Delta PQR$,M and N are points on sides PQ and PR respectively such that PM=15 cm and NR=8 cm .If PQ=25 cm and PQ=20 cm ,then MN is ______ QR.

asked Jan 3, 2015

1 answer

The corresponding sides of two similar triangles are in the ratio 1 : 3.If the area of the smaller triangle is $40\;cm^2$,then the area of the larger triangle is ________

asked Jan 3, 2015

1 answer

The value of $x$ in the adjacent figure if $DE\parallel AB$ is ______

asked Jan 3, 2015

1 answer

An aeroplane leaves an airport and flies due north at a speed of $1000$ km/hr.At the same time,another aeroplane leaves the same airport and flies due west at a speed of $1200$ km/hr.How far apart will be the two planes after $1\large\frac{1}{2}$ hours?

asked Jan 3, 2015

1 answer

The vertices of a triangle ABC are A(a-1)an B$(2\sqrt a)$an C(a+1)an is ________ triangle.

asked Jan 3, 2015

1 answer

In a quadrilateral ABCD,$\angle B=90^{\large\circ}$ and $AD^2=AB^2+BC^2+CD^2$,then $\angle ACD=$______

asked Jan 2, 2015

1 answer

A wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end.How far from the base of the poles should the stake be driven so that the wire will be taut?

asked Jan 2, 2015

1 answer

In $\Delta PQR$,M and N are points on sides PQ and PR respectively such that PM=15 cm and NR=8 cm.If PQ=25 cm and PR=20 cm,then MR is ________ QR

asked Jan 2, 2015

1 answer

ABCD is a trapezium in which $AB\parallel DC$.$P$ and $Q$ are points on sides AD and BC such that $PQ\parallel AB$.If $PD=18,BQ=35$ and $QC=15$,then $AD$=______

asked Jan 2, 2015

1 answer

A staircase is as shown in the figure.Measurements of the steps are marked in the figure.Find the distance between AB.

asked Jan 2, 2015

1 answer

$\Delta ABC$ is an isosceles triangle in which $\angle C=90^{\large\circ}$.If $AC=6$ cm,then $AB=$_____

asked Jan 2, 2015

1 answer

In an isosceles triangle ABC if AC=BC,and $AB^2=2AC^2$,then $\angle C$=___

asked Jan 2, 2015

1 answer

ABCD is a trapezium such that $BC\parallel AD$ and $AB=4$ cm.If the diagonals AC and BD intersect at O,such that $\large\frac{AO}{OC}=\frac{DO}{OB}=\frac{1}{2}$,then $BC$=

asked Jan 2, 2015

1 answer

$\Delta ABC$ is a right triangle,right-angled at A and $AD\perp BC$.Then $\large\frac{BD}{DC}$=____

asked Jan 2, 2015

1 answer

In a $\Delta ABC,AD$ is the bisector of $\angle BAC$.If $AB=6$ cm,$AC=5$ cm,and $BD=3$ cm,then $DC$=

asked Jan 2, 2015

1 answer

A man goes $24$ m due west and then $7$ m due north.How far is he from the starting point?

asked Jan 2, 2015

1 answer

$\Delta ABC\sim \Delta DEF$.If $BC=3$ cm,$EF=4$ cm and ar$(\Delta ABC)=54\; cm^2$,then ar$(\Delta DEF)$=

asked Jan 2, 2015

1 answer

$\Delta ABC \sim \Delta DEF$,ar $(\Delta ABC)=9 cm^2$,ar $(\Delta DEF)=16 cm^2$.If $BC=2.1$ cm, then the measure of EF is

asked Jan 2, 2015

1 answer

$\Delta ABC \sim \Delta DEF$ such that $DE=3$ cm,$EF=2$ cm,$DF=2.5$ cm,$BC=4$ cm,the perimeter of the $\Delta ABC$ is

asked Jan 2, 2015

1 answer

In a $\Delta ABC$ which is an equilateral triangle such that $AD\perp BC$,then $AD^2$=_____

asked Jan 2, 2015

1 answer

In an equilateral triangle ABC,if $AD\perp BC$,then

asked Jan 2, 2015

1 answer

ABCD is a trapezium such that $BC\parallel AD$ and $AB=4$ cm.If the diagonals AC and BD intersect at O such that $\large\frac{AO}{OC}=\frac{DO}{OB}=\frac{1}{2}$,then $BC$=

asked Jan 2, 2015

1 answer

If D,E,F are the mid-points of sides BC,CA and AB respectivelyof $\Delta ABC$,then the ratio of the areas of triangles DEF and ABC is

asked Jan 2, 2015

1 answer

A vertical stick $12$ cm long casts a shadow $8$ cm long on the ground.At the same time a tower casts a shadow 40 m long on the ground.The height of the tower is _______

asked Jan 2, 2015

1 answer

A ladder reaches a window which is 12 m above the ground on one side of the sheet,keeping its foot at the same point,the ladder is turned to the other side of the sheet to reach a window $9$ m high.The length of the ladder is $15$ m,then the width of the sheet is ______

asked Jan 2, 2015

1 answer

The perimeters of two similar triangles are $30$ cm and $20$ cm respectively.If one side of the first triangle is $15$ cm,the corresponding side of the second triangle is _____

asked Jan 2, 2015

1 answer

In the given figure $AB\parallel MN$.If $PA=x-2,PM=x,PB=x-1$ and $PN=x+2$,find the value of $x$.

asked Jan 2, 2015

1 answer

In the given figure,AD is the bisector of $\angle BAC$.If $BD=2$ cm,$DC=3$ cm and $AB=5$ cm,then $AC$=______

asked Jan 2, 2015

1 answer

Two poles of height $7$ m and $12$ m stand on a plane ground.If the distance between their feet is $12$ m,then the distance between their tips is __________

asked Jan 2, 2015

1 answer

The area of a right angled triangle if its radius is $3$ cm and altitude drawn to the hypotenuse is $2$ cm is ______

asked Jan 2, 2015

1 answer

In two similar triangles $ABC$ and $DEF,AC=10\;cm$ and $DF=8\; cm$ and $AB=6.5$ cm then $DE$=______

asked Jan 2, 2015

1 answer

In $\Delta$ ABC,DE$\parallel$BC.If $AD=x,DB=x-2,AE=x+2$ and $EC=x-1$,then the value of $x$ is _____

asked Jan 2, 2015

1 answer

The length of a diagonal of a rectangle whose adjacent sides are $8$ m and $6$ m long is _______

asked Jan 2, 2015

1 answer

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